Online GCD Calculator is useful to find the GCD of 354, 500, 156, 272 quickly. Get the easiest ways to solve the greatest common divisor of 354, 500, 156, 272 i.e 2 in different methods as follows.
Given Input numbers are 354, 500, 156, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (354, 500, 156, 272) = 2.
Given numbers are 354, 500, 156, 272
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 354, 500, 156, 272 is 2.
Given numbers are 354, 500, 156, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 500) = 88500
GCD(354, 500) = ( 354 x 500 ) / 88500
= 354 / 500
= 354
Step2:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 354, 500, 156, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 500, 156, 272
The greatest common divisor of numbers 354, 500, 156, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 500, 156, 272 is 2.
1. What is the GCD of 354, 500, 156, 272?
GCD of given numbers 354, 500, 156, 272 is 2
2. How to calculate the greatest common divisor of 354, 500, 156, 272?
We can find the highest common divisor of 354, 500, 156, 272 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 354, 500, 156, 272 i.e 2.
3. How can I use the GCD of 354, 500, 156, 272Calculator?
Out the numbers 354, 500, 156, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.