To answer GCF and LCM questions.
You can find the GCF and/or the LCM of a set of numbers by comparing the prime factorizations of the individual members of the set.
2 x 3 x 3 = 18 2 x 2 x 5 = 20 The GCF is 2. The LCM is 180.
Product of two numbers a and b = LCM(a,b) x GCF(a,b)...(1)Here, product of 18 and 360 = 6480Now, we shall find GCF of 18 and 360 by using the method of prime factorization.Prime factorization of 18 = 2x3x3Prime factorization of 360 = 2x2x2x3x3x5It is clear from the prime factorization that gcf = 18Now using (1) we can find LCM:LCM(18,360) = Product of 18 and 360/GCF(18,360) = 6480/18 = 360So, LCM and GCF of 18 & 360 is 360 and 18.Also, it is important to note that 360 is divisible by 18 then GCF is 18 and LCM is 360.
Prime factorization is the result of expressing a number as the product of its prime factors. It will assist you in finding the GCF and LCM of any given number set.
It is: 4
It is: 1
It is: 69
22 x 33 is the prime factorization of 108. If you have another prime factorization, we can find a GCF and an LCM between the two.
Prime Factorization: 72= 2x2x2x3x3 44=2x2x11 GCF: 2x2 =4 LCM: 2x2x2x3x3x11=792
You need at least two numbers to find a GCF. The prime factorization of 207 is 3 x 3 x 23.
41 is a prime number which makes 41 the gcf of 41 and 82