GCD of 874, 474, 945, 972 Calculator

Given Input numbers are 874, 474, 945, 972

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 (874, 474, 945, 972) = 1.

Given numbers are 874, 474, 945, 972

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 474 are 2 x 3 x 79

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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 874, 474, 945, 972

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

Apply this formula for all numbers.

Step1:

LCM(874, 474) = 207138

GCD(874, 474) = ( 874 x 474 ) / 207138

= 874 / 474

= 874

Step2:

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

= 2 / 945

= 2

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 874, 474, 945, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 773, 182, 336
• GCD of 123, 977, 292, 576
• GCD of 142, 117, 391, 193
• GCD of 514, 848, 139, 990
• GCD of 169, 961, 257, 136

Given numbers are 874, 474, 945, 972
The greatest common divisor of numbers 874, 474, 945, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 474, 945, 972 is 1.

1. What is the GCD of 874, 474, 945, 972?

GCD of given numbers 874, 474, 945, 972 is 1

2. How to calculate the greatest common divisor of 874, 474, 945, 972?

We can find the highest common divisor of 874, 474, 945, 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 874, 474, 945, 972 i.e 1.

3. How can I use the GCD of 874, 474, 945, 972Calculator?

Out the numbers 874, 474, 945, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.