GCD of 133, 224, 920, 972 Calculator

Given Input numbers are 133, 224, 920, 972

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

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (133, 224, 920, 972) = 1.

Given numbers are 133, 224, 920, 972

The list of prime factors of all numbers are

Prime factors of 133 are 7 x 19

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

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 133, 224, 920, 972

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

Apply this formula for all numbers.

Step1:

LCM(133, 224) = 4256

GCD(133, 224) = ( 133 x 224 ) / 4256

= 133 / 224

= 133

Step2:

LCM(7, 920) = 6440

GCD(7, 920) = ( 7 x 920 ) / 6440

= 7 / 920

= 7

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 133, 224, 920, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 112, 919, 221
• GCD of 399, 313, 932, 397
• GCD of 850, 196, 208, 732
• GCD of 736, 611, 514, 493
• GCD of 595, 352, 529, 759

Given numbers are 133, 224, 920, 972
The greatest common divisor of numbers 133, 224, 920, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 224, 920, 972 is 1.

1. What is the GCD of 133, 224, 920, 972?

GCD of given numbers 133, 224, 920, 972 is 1

2. How to calculate the greatest common divisor of 133, 224, 920, 972?

We can find the highest common divisor of 133, 224, 920, 972 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 133, 224, 920, 972 i.e 1.

3. How can I use the GCD of 133, 224, 920, 972Calculator?

Out the numbers 133, 224, 920, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.