GCD of 688, 657, 109, 142 Calculator

Given Input numbers are 688, 657, 109, 142

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (688, 657, 109, 142) = 1.

Given numbers are 688, 657, 109, 142

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 657 are 3 x 3 x 73

Prime factors of 109 are 109

Prime factors of 142 are 2 x 71

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

Given numbers are 688, 657, 109, 142

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

Apply this formula for all numbers.

Step1:

LCM(688, 657) = 452016

GCD(688, 657) = ( 688 x 657 ) / 452016

= 688 / 657

= 688

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 688, 657, 109, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 166, 725, 214, 962
• GCD of 547, 845, 983, 546
• GCD of 638, 749, 959, 161
• GCD of 768, 937, 315, 655
• GCD of 531, 869, 654, 776

Given numbers are 688, 657, 109, 142
The greatest common divisor of numbers 688, 657, 109, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 657, 109, 142 is 1.

1. What is the GCD of 688, 657, 109, 142?

GCD of given numbers 688, 657, 109, 142 is 1

2. How to calculate the greatest common divisor of 688, 657, 109, 142?

We can find the highest common divisor of 688, 657, 109, 142 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, 657, 109, 142 i.e 1.

3. How can I use the GCD of 688, 657, 109, 142Calculator?

Out the numbers 688, 657, 109, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.