GCD of 753, 708, 792, 400 Calculator

Given Input numbers are 753, 708, 792, 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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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, 708, 792, 400) = 1.

Given numbers are 753, 708, 792, 400

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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, 708, 792, 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, 708) = 177708

GCD(753, 708) = ( 753 x 708 ) / 177708

= 753 / 708

= 753

Step2:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

Step3:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

So, Greatest Common Divisor of 753, 708, 792, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 451, 784, 497
• GCD of 917, 619, 892, 538
• GCD of 889, 617, 307, 401
• GCD of 500, 718, 375, 426
• GCD of 992, 851, 849, 764

Given numbers are 753, 708, 792, 400
The greatest common divisor of numbers 753, 708, 792, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 708, 792, 400 is 1.

1. What is the GCD of 753, 708, 792, 400?

GCD of given numbers 753, 708, 792, 400 is 1

2. How to calculate the greatest common divisor of 753, 708, 792, 400?

We can find the highest common divisor of 753, 708, 792, 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, 708, 792, 400 i.e 1.

3. How can I use the GCD of 753, 708, 792, 400Calculator?

Out the numbers 753, 708, 792, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.