GCD of 312, 698, 391, 925 Calculator

Given Input numbers are 312, 698, 391, 925

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

GCD of numbers is the greatest common divisor

So, the GCD (312, 698, 391, 925) = 1.

Given numbers are 312, 698, 391, 925

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 698 are 2 x 349

Prime factors of 391 are 17 x 23

Prime factors of 925 are 5 x 5 x 37

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

Given numbers are 312, 698, 391, 925

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

Apply this formula for all numbers.

Step1:

LCM(312, 698) = 108888

GCD(312, 698) = ( 312 x 698 ) / 108888

= 312 / 698

= 312

Step2:

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

= 2 / 391

= 2

Step3:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1

So, Greatest Common Divisor of 312, 698, 391, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 799, 424, 638
• GCD of 870, 189, 488, 348
• GCD of 632, 749, 543, 409
• GCD of 331, 829, 130, 598
• GCD of 142, 857, 111, 175

Given numbers are 312, 698, 391, 925
The greatest common divisor of numbers 312, 698, 391, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 698, 391, 925 is 1.

1. What is the GCD of 312, 698, 391, 925?

GCD of given numbers 312, 698, 391, 925 is 1

2. How to calculate the greatest common divisor of 312, 698, 391, 925?

We can find the highest common divisor of 312, 698, 391, 925 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 312, 698, 391, 925 i.e 1.

3. How can I use the GCD of 312, 698, 391, 925Calculator?

Out the numbers 312, 698, 391, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.