GCD of 772, 548, 676, 924 Calculator

Given Input numbers are 772, 548, 676, 924

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 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (772, 548, 676, 924) = 4.

Given numbers are 772, 548, 676, 924

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 548 are 2 x 2 x 137

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2²

Therefore, GCD of 772, 548, 676, 924 is 4.

Given numbers are 772, 548, 676, 924

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

Apply this formula for all numbers.

Step1:

LCM(772, 548) = 105764

GCD(772, 548) = ( 772 x 548 ) / 105764

= 772 / 548

= 772

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

Step3:

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

= 4 / 924

= 4

So, Greatest Common Divisor of 772, 548, 676, 924 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 974, 735, 820
• GCD of 565, 913, 681, 945
• GCD of 447, 913, 283, 847
• GCD of 778, 464, 552, 514
• GCD of 284, 176, 120, 678

Given numbers are 772, 548, 676, 924
The greatest common divisor of numbers 772, 548, 676, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 548, 676, 924 is 4.

1. What is the GCD of 772, 548, 676, 924?

GCD of given numbers 772, 548, 676, 924 is 4

2. How to calculate the greatest common divisor of 772, 548, 676, 924?

We can find the highest common divisor of 772, 548, 676, 924 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, 548, 676, 924 i.e 4.

3. How can I use the GCD of 772, 548, 676, 924Calculator?

Out the numbers 772, 548, 676, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.