GCD of 426, 584, 725, 274 Calculator

Given Input numbers are 426, 584, 725, 274

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (426, 584, 725, 274) = 1.

Given numbers are 426, 584, 725, 274

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 725 are 5 x 5 x 29

Prime factors of 274 are 2 x 137

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

Given numbers are 426, 584, 725, 274

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

Apply this formula for all numbers.

Step1:

LCM(426, 584) = 124392

GCD(426, 584) = ( 426 x 584 ) / 124392

= 426 / 584

= 426

Step2:

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

Step3:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1

So, Greatest Common Divisor of 426, 584, 725, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 198, 530, 200
• GCD of 800, 873, 982, 350
• GCD of 368, 643, 201, 157
• GCD of 967, 848, 973, 422
• GCD of 632, 325, 219, 691

Given numbers are 426, 584, 725, 274
The greatest common divisor of numbers 426, 584, 725, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 584, 725, 274 is 1.

1. What is the GCD of 426, 584, 725, 274?

GCD of given numbers 426, 584, 725, 274 is 1

2. How to calculate the greatest common divisor of 426, 584, 725, 274?

We can find the highest common divisor of 426, 584, 725, 274 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 426, 584, 725, 274 i.e 1.

3. How can I use the GCD of 426, 584, 725, 274Calculator?

Out the numbers 426, 584, 725, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.