Solving Problems with Greatest Common Factor

Miacademy & MiaPrep Learning Channel

This educational video provides a practical guide to using the Greatest Common Factor (GCF) to solve mathematical problems. The lesson begins by demonstrating how to simplify a complex fraction (36/108) by finding the GCF of the numerator and denominator using prime factorization. This method helps convert a difficult-to-visualize fraction into a simple one (1/3). The video then transitions to a real-world application with a word problem about planting roses. Students learn to identify keywords that signal a GCF problem and apply the prime factorization method to determine the maximum number of rows a gardener can plant with equal distributions of red and white flowers. This resource is highly valuable for bridging the gap between abstract calculation and practical application. By showing two distinct uses for GCF—fraction simplification and dividing quantities into groups—it helps students understand the versatility of this mathematical concept. The visual demonstration of factor trees and the clear step-by-step narration make complex procedures accessible.