GCD of 374, 494, 673, 972 Calculator

Given Input numbers are 374, 494, 673, 972

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 673 :

The positive integer divisors of 673 that completely divides 673 are.

1, 673

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 (374, 494, 673, 972) = 1.

Given numbers are 374, 494, 673, 972

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 494 are 2 x 13 x 19

Prime factors of 673 are 673

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 374, 494, 673, 972

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

Apply this formula for all numbers.

Step1:

LCM(374, 494) = 92378

GCD(374, 494) = ( 374 x 494 ) / 92378

= 374 / 494

= 374

Step2:

LCM(2, 673) = 1346

GCD(2, 673) = ( 2 x 673 ) / 1346

= 2 / 673

= 2

Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1

So, Greatest Common Divisor of 374, 494, 673, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 649, 780, 726
• GCD of 107, 864, 497, 809
• GCD of 230, 488, 314, 653
• GCD of 245, 660, 283, 902
• GCD of 734, 427, 677, 147

Given numbers are 374, 494, 673, 972
The greatest common divisor of numbers 374, 494, 673, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 494, 673, 972 is 1.

1. What is the GCD of 374, 494, 673, 972?

GCD of given numbers 374, 494, 673, 972 is 1

2. How to calculate the greatest common divisor of 374, 494, 673, 972?

We can find the highest common divisor of 374, 494, 673, 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 374, 494, 673, 972 i.e 1.

3. How can I use the GCD of 374, 494, 673, 972Calculator?

Out the numbers 374, 494, 673, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.