GCD of 224, 764, 132, 876 Calculator

Given Input numbers are 224, 764, 132, 876

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

GCD of numbers is the greatest common divisor

So, the GCD (224, 764, 132, 876) = 4.

Given numbers are 224, 764, 132, 876

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 764 are 2 x 2 x 191

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 876 are 2 x 2 x 3 x 73

The highest common occurrence is 2²

Therefore, GCD of 224, 764, 132, 876 is 4.

Given numbers are 224, 764, 132, 876

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

Apply this formula for all numbers.

Step1:

LCM(224, 764) = 42784

GCD(224, 764) = ( 224 x 764 ) / 42784

= 224 / 764

= 224

Step2:

LCM(4, 132) = 132

GCD(4, 132) = ( 4 x 132 ) / 132

= 4 / 132

= 4

Step3:

LCM(4, 876) = 876

GCD(4, 876) = ( 4 x 876 ) / 876

= 4 / 876

= 4

So, Greatest Common Divisor of 224, 764, 132, 876 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 662, 640, 922
• GCD of 674, 212, 977, 264
• GCD of 266, 166, 141, 428
• GCD of 178, 324, 914, 456
• GCD of 937, 475, 520, 407

Given numbers are 224, 764, 132, 876
The greatest common divisor of numbers 224, 764, 132, 876 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 764, 132, 876 is 4.

1. What is the GCD of 224, 764, 132, 876?

GCD of given numbers 224, 764, 132, 876 is 4

2. How to calculate the greatest common divisor of 224, 764, 132, 876?

We can find the highest common divisor of 224, 764, 132, 876 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 224, 764, 132, 876 i.e 4.

3. How can I use the GCD of 224, 764, 132, 876Calculator?

Out the numbers 224, 764, 132, 876 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.