GCD of 688, 689, 374, 138 Calculator

Given Input numbers are 688, 689, 374, 138

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 374 :

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

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (688, 689, 374, 138) = 1.

Given numbers are 688, 689, 374, 138

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 689 are 13 x 53

Prime factors of 374 are 2 x 11 x 17

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 688, 689, 374, 138

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

Apply this formula for all numbers.

Step1:

LCM(688, 689) = 474032

GCD(688, 689) = ( 688 x 689 ) / 474032

= 688 / 689

= 688

Step2:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 688, 689, 374, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 632, 359, 998
• GCD of 215, 769, 350, 215
• GCD of 255, 446, 627, 508
• GCD of 382, 476, 672, 875
• GCD of 600, 670, 374, 767

Given numbers are 688, 689, 374, 138
The greatest common divisor of numbers 688, 689, 374, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 689, 374, 138 is 1.

1. What is the GCD of 688, 689, 374, 138?

GCD of given numbers 688, 689, 374, 138 is 1

2. How to calculate the greatest common divisor of 688, 689, 374, 138?

We can find the highest common divisor of 688, 689, 374, 138 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 688, 689, 374, 138 i.e 1.

3. How can I use the GCD of 688, 689, 374, 138Calculator?

Out the numbers 688, 689, 374, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.