GCD of 974, 508, 339, 342 Calculator

Given Input numbers are 974, 508, 339, 342

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (974, 508, 339, 342) = 1.

Given numbers are 974, 508, 339, 342

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 508 are 2 x 2 x 127

Prime factors of 339 are 3 x 113

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 974, 508, 339, 342

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

Apply this formula for all numbers.

Step1:

LCM(974, 508) = 247396

GCD(974, 508) = ( 974 x 508 ) / 247396

= 974 / 508

= 974

Step2:

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

= 2 / 339

= 2

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 974, 508, 339, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 224, 834, 504
• GCD of 858, 405, 233, 255
• GCD of 931, 337, 291, 980
• GCD of 473, 445, 215, 691
• GCD of 711, 989, 425, 605

Given numbers are 974, 508, 339, 342
The greatest common divisor of numbers 974, 508, 339, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 508, 339, 342 is 1.

1. What is the GCD of 974, 508, 339, 342?

GCD of given numbers 974, 508, 339, 342 is 1

2. How to calculate the greatest common divisor of 974, 508, 339, 342?

We can find the highest common divisor of 974, 508, 339, 342 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 974, 508, 339, 342 i.e 1.

3. How can I use the GCD of 974, 508, 339, 342Calculator?

Out the numbers 974, 508, 339, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.