GCD of 314, 898, 425, 972 Calculator

Given Input numbers are 314, 898, 425, 972

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

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

GCD of numbers is the greatest common divisor

So, the GCD (314, 898, 425, 972) = 1.

Given numbers are 314, 898, 425, 972

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 898 are 2 x 449

Prime factors of 425 are 5 x 5 x 17

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

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

Given numbers are 314, 898, 425, 972

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

Apply this formula for all numbers.

Step1:

LCM(314, 898) = 140986

GCD(314, 898) = ( 314 x 898 ) / 140986

= 314 / 898

= 314

Step2:

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

= 2 / 425

= 2

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 314, 898, 425, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 341, 762, 710
• GCD of 655, 522, 182, 130
• GCD of 173, 220, 514, 498
• GCD of 693, 262, 530, 705
• GCD of 930, 689, 693, 971

Given numbers are 314, 898, 425, 972
The greatest common divisor of numbers 314, 898, 425, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 898, 425, 972 is 1.

1. What is the GCD of 314, 898, 425, 972?

GCD of given numbers 314, 898, 425, 972 is 1

2. How to calculate the greatest common divisor of 314, 898, 425, 972?

We can find the highest common divisor of 314, 898, 425, 972 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 314, 898, 425, 972 i.e 1.

3. How can I use the GCD of 314, 898, 425, 972Calculator?

Out the numbers 314, 898, 425, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.