GCD of 753, 371, 972, 400 Calculator

Given Input numbers are 753, 371, 972, 400

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (753, 371, 972, 400) = 1.

Given numbers are 753, 371, 972, 400

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 371 are 7 x 53

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 753, 371, 972, 400

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

Apply this formula for all numbers.

Step1:

LCM(753, 371) = 279363

GCD(753, 371) = ( 753 x 371 ) / 279363

= 753 / 371

= 753

Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 753, 371, 972, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 699, 938, 208
• GCD of 853, 265, 841, 691
• GCD of 971, 541, 573, 902
• GCD of 486, 768, 478, 278
• GCD of 204, 428, 618, 525

Given numbers are 753, 371, 972, 400
The greatest common divisor of numbers 753, 371, 972, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 371, 972, 400 is 1.

1. What is the GCD of 753, 371, 972, 400?

GCD of given numbers 753, 371, 972, 400 is 1

2. How to calculate the greatest common divisor of 753, 371, 972, 400?

We can find the highest common divisor of 753, 371, 972, 400 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 753, 371, 972, 400 i.e 1.

3. How can I use the GCD of 753, 371, 972, 400Calculator?

Out the numbers 753, 371, 972, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.