GCD of 252, 220, 380, 772 Calculator

Given Input numbers are 252, 220, 380, 772

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

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (252, 220, 380, 772) = 4.

Given numbers are 252, 220, 380, 772

The list of prime factors of all numbers are

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

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2²

Therefore, GCD of 252, 220, 380, 772 is 4.

Given numbers are 252, 220, 380, 772

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

Apply this formula for all numbers.

Step1:

LCM(252, 220) = 13860

GCD(252, 220) = ( 252 x 220 ) / 13860

= 252 / 220

= 252

Step2:

LCM(4, 380) = 380

GCD(4, 380) = ( 4 x 380 ) / 380

= 4 / 380

= 4

Step3:

LCM(4, 772) = 772

GCD(4, 772) = ( 4 x 772 ) / 772

= 4 / 772

= 4

So, Greatest Common Divisor of 252, 220, 380, 772 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 534, 687, 180
• GCD of 548, 693, 836, 505
• GCD of 219, 775, 714, 648
• GCD of 624, 447, 864, 668
• GCD of 691, 511, 312, 685

Given numbers are 252, 220, 380, 772
The greatest common divisor of numbers 252, 220, 380, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 220, 380, 772 is 4.

1. What is the GCD of 252, 220, 380, 772?

GCD of given numbers 252, 220, 380, 772 is 4

2. How to calculate the greatest common divisor of 252, 220, 380, 772?

We can find the highest common divisor of 252, 220, 380, 772 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 252, 220, 380, 772 i.e 4.

3. How can I use the GCD of 252, 220, 380, 772Calculator?

Out the numbers 252, 220, 380, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.