GCD of 772, 470, 252, 272 Calculator

Given Input numbers are 772, 470, 252, 272

In the factoring method, we have to find the divisors of all numbers

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 (772, 470, 252, 272) = 2.

Given numbers are 772, 470, 252, 272

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 470 are 2 x 5 x 47

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 772, 470, 252, 272 is 2.

Given numbers are 772, 470, 252, 272

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(772, 470) = 181420

GCD(772, 470) = ( 772 x 470 ) / 181420

= 772 / 470

= 772

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 772, 470, 252, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 999, 390, 808
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Given numbers are 772, 470, 252, 272
The greatest common divisor of numbers 772, 470, 252, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 470, 252, 272 is 2.

1. What is the GCD of 772, 470, 252, 272?

GCD of given numbers 772, 470, 252, 272 is 2

2. How to calculate the greatest common divisor of 772, 470, 252, 272?

We can find the highest common divisor of 772, 470, 252, 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 772, 470, 252, 272 i.e 2.

3. How can I use the GCD of 772, 470, 252, 272Calculator?

Out the numbers 772, 470, 252, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.