GCD of 689, 677, 917, 874 Calculator

Given Input numbers are 689, 677, 917, 874

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

Divisors of 917 :

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

1, 7, 131, 917

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (689, 677, 917, 874) = 1.

Given numbers are 689, 677, 917, 874

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 677 are 677

Prime factors of 917 are 7 x 131

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 689, 677, 917, 874

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

Apply this formula for all numbers.

Step1:

LCM(689, 677) = 466453

GCD(689, 677) = ( 689 x 677 ) / 466453

= 689 / 677

= 689

Step2:

LCM(1, 917) = 917

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

= 1 / 917

= 1

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 689, 677, 917, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 497, 264, 256
• GCD of 795, 560, 842, 601
• GCD of 217, 327, 258, 340
• GCD of 507, 945, 246, 189
• GCD of 229, 856, 756, 795

Given numbers are 689, 677, 917, 874
The greatest common divisor of numbers 689, 677, 917, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 677, 917, 874 is 1.

1. What is the GCD of 689, 677, 917, 874?

GCD of given numbers 689, 677, 917, 874 is 1

2. How to calculate the greatest common divisor of 689, 677, 917, 874?

We can find the highest common divisor of 689, 677, 917, 874 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 689, 677, 917, 874 i.e 1.

3. How can I use the GCD of 689, 677, 917, 874Calculator?

Out the numbers 689, 677, 917, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.