GCD of 427, 314, 25, 682 Calculator

Given Input numbers are 427, 314, 25, 682

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 25 :

The positive integer divisors of 25 that completely divides 25 are.

1, 5, 25

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (427, 314, 25, 682) = 1.

Given numbers are 427, 314, 25, 682

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 314 are 2 x 157

Prime factors of 25 are 5 x 5

Prime factors of 682 are 2 x 11 x 31

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

Given numbers are 427, 314, 25, 682

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

Apply this formula for all numbers.

Step1:

LCM(427, 314) = 134078

GCD(427, 314) = ( 427 x 314 ) / 134078

= 427 / 314

= 427

Step2:

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

= 1 / 25

= 1

Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

So, Greatest Common Divisor of 427, 314, 25, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 724, 84, 322
• GCD of 327, 857, 65, 749
• GCD of 742, 303, 93, 913
• GCD of 228, 694, 93, 624
• GCD of 711, 960, 40, 128

Given numbers are 427, 314, 25, 682
The greatest common divisor of numbers 427, 314, 25, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 314, 25, 682 is 1.

1. What is the GCD of 427, 314, 25, 682?

GCD of given numbers 427, 314, 25, 682 is 1

2. How to calculate the greatest common divisor of 427, 314, 25, 682?

We can find the highest common divisor of 427, 314, 25, 682 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 427, 314, 25, 682 i.e 1.

3. How can I use the GCD of 427, 314, 25, 682Calculator?

Out the numbers 427, 314, 25, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.