You multiply all the numbers in the center of the Venn Diagram. This gives you the highest possible number that goes into both numbers.
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I can't draw a venn diagram, but this will be close. 2 in the left circle, 24 in the intersection (the gcf), and 3 in the right circle. (2(24)3)=144 which is the LCM.
Do a prime factorization of each number. Draw 3 overlapping circles. Place the factors into each circle: note: some will go into the overlapping sections of the circles. All those numbers in the overlapping section of ALL circles will form the GCF. Multiply those in that overlapping section and that equals the GCF.
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
The GCF of 84 and 156 is 12.First, find the prime factors:84 = 2*2*3*7156 = 2*2*3*13Then, to determine the gcf, multiply the shared prime factors:GCF = 2*2*3 = 12
To find the GCF of 32 and 36 you first have to break them down into their prime factors: 32 = 2x2x2x2x2 36 = 2x2x3x3 The next step is to identify any common factors. In this case both numbers have two 2s as prime factors. To find the GCF you just multiply these numbers together: 2x2 = 4 And so the GCF of 32 and 36 is 4.