GCD of 137, 678, 975, 898 Calculator

Given Input numbers are 137, 678, 975, 898

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (137, 678, 975, 898) = 1.

Given numbers are 137, 678, 975, 898

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 678 are 2 x 3 x 113

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 898 are 2 x 449

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

Given numbers are 137, 678, 975, 898

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

Apply this formula for all numbers.

Step1:

LCM(137, 678) = 92886

GCD(137, 678) = ( 137 x 678 ) / 92886

= 137 / 678

= 137

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 137, 678, 975, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 287, 453, 663
• GCD of 268, 939, 332, 422
• GCD of 393, 524, 837, 974
• GCD of 121, 250, 842, 778
• GCD of 932, 370, 218, 150

Given numbers are 137, 678, 975, 898
The greatest common divisor of numbers 137, 678, 975, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 678, 975, 898 is 1.

1. What is the GCD of 137, 678, 975, 898?

GCD of given numbers 137, 678, 975, 898 is 1

2. How to calculate the greatest common divisor of 137, 678, 975, 898?

We can find the highest common divisor of 137, 678, 975, 898 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 137, 678, 975, 898 i.e 1.

3. How can I use the GCD of 137, 678, 975, 898Calculator?

Out the numbers 137, 678, 975, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.