GCD of 974, 682, 689 Calculator

Given Input numbers are 974, 682, 689

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 682 :

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

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (974, 682, 689) = 1.

Given numbers are 974, 682, 689

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 682 are 2 x 11 x 31

Prime factors of 689 are 13 x 53

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

Given numbers are 974, 682, 689

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

Apply this formula for all numbers.

Step1:

LCM(974, 682) = 332134

GCD(974, 682) = ( 974 x 682 ) / 332134

= 974 / 682

= 974

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 974, 682, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 108, 212
• GCD of 755, 252, 950
• GCD of 567, 847, 143
• GCD of 445, 678, 677
• GCD of 772, 461, 407

Given numbers are 974, 682, 689
The greatest common divisor of numbers 974, 682, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 682, 689 is 1.

1. What is the GCD of 974, 682, 689?

GCD of given numbers 974, 682, 689 is 1

2. How to calculate the greatest common divisor of 974, 682, 689?

We can find the highest common divisor of 974, 682, 689 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, 682, 689 i.e 1.

3. How can I use the GCD of 974, 682, 689Calculator?

Out the numbers 974, 682, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.