GCD of 712, 870, 400, 253 Calculator

Given Input numbers are 712, 870, 400, 253

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (712, 870, 400, 253) = 1.

Given numbers are 712, 870, 400, 253

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 870 are 2 x 3 x 5 x 29

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

Prime factors of 253 are 11 x 23

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

Given numbers are 712, 870, 400, 253

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

Apply this formula for all numbers.

Step1:

LCM(712, 870) = 309720

GCD(712, 870) = ( 712 x 870 ) / 309720

= 712 / 870

= 712

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

So, Greatest Common Divisor of 712, 870, 400, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 170, 585, 256
• GCD of 271, 965, 404, 831
• GCD of 158, 375, 870, 437
• GCD of 368, 190, 221, 300
• GCD of 627, 333, 182, 876

Given numbers are 712, 870, 400, 253
The greatest common divisor of numbers 712, 870, 400, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 870, 400, 253 is 1.

1. What is the GCD of 712, 870, 400, 253?

GCD of given numbers 712, 870, 400, 253 is 1

2. How to calculate the greatest common divisor of 712, 870, 400, 253?

We can find the highest common divisor of 712, 870, 400, 253 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 712, 870, 400, 253 i.e 1.

3. How can I use the GCD of 712, 870, 400, 253Calculator?

Out the numbers 712, 870, 400, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.