GCD of 374, 689, 917, 686 Calculator

Given Input numbers are 374, 689, 917, 686

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 689 :

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

1, 13, 53, 689

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (374, 689, 917, 686) = 1.

Given numbers are 374, 689, 917, 686

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 689 are 13 x 53

Prime factors of 917 are 7 x 131

Prime factors of 686 are 2 x 7 x 7 x 7

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

Given numbers are 374, 689, 917, 686

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

Apply this formula for all numbers.

Step1:

LCM(374, 689) = 257686

GCD(374, 689) = ( 374 x 689 ) / 257686

= 374 / 689

= 374

Step2:

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

= 1 / 917

= 1

Step3:

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

= 1 / 686

= 1

So, Greatest Common Divisor of 374, 689, 917, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 355, 410, 936
• GCD of 693, 292, 650, 328
• GCD of 226, 740, 427, 178
• GCD of 686, 859, 135, 526
• GCD of 444, 401, 662, 235

Given numbers are 374, 689, 917, 686
The greatest common divisor of numbers 374, 689, 917, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 689, 917, 686 is 1.

1. What is the GCD of 374, 689, 917, 686?

GCD of given numbers 374, 689, 917, 686 is 1

2. How to calculate the greatest common divisor of 374, 689, 917, 686?

We can find the highest common divisor of 374, 689, 917, 686 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, 689, 917, 686 i.e 1.

3. How can I use the GCD of 374, 689, 917, 686Calculator?

Out the numbers 374, 689, 917, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.