GCD of 800, 748, 637, 157 Calculator

Given Input numbers are 800, 748, 637, 157

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

GCD of numbers is the greatest common divisor

So, the GCD (800, 748, 637, 157) = 1.

Given numbers are 800, 748, 637, 157

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 637 are 7 x 7 x 13

Prime factors of 157 are 157

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

Given numbers are 800, 748, 637, 157

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

Apply this formula for all numbers.

Step1:

LCM(800, 748) = 149600

GCD(800, 748) = ( 800 x 748 ) / 149600

= 800 / 748

= 800

Step2:

LCM(4, 637) = 2548

GCD(4, 637) = ( 4 x 637 ) / 2548

= 4 / 637

= 4

Step3:

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

= 1 / 157

= 1

So, Greatest Common Divisor of 800, 748, 637, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 523, 592, 142
• GCD of 298, 704, 912, 893
• GCD of 115, 330, 493, 457
• GCD of 723, 789, 775, 485
• GCD of 147, 508, 208, 613

Given numbers are 800, 748, 637, 157
The greatest common divisor of numbers 800, 748, 637, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 748, 637, 157 is 1.

1. What is the GCD of 800, 748, 637, 157?

GCD of given numbers 800, 748, 637, 157 is 1

2. How to calculate the greatest common divisor of 800, 748, 637, 157?

We can find the highest common divisor of 800, 748, 637, 157 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 800, 748, 637, 157 i.e 1.

3. How can I use the GCD of 800, 748, 637, 157Calculator?

Out the numbers 800, 748, 637, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.