GCD of 688, 271, 144, 875 Calculator

Given Input numbers are 688, 271, 144, 875

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 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

GCD of numbers is the greatest common divisor

So, the GCD (688, 271, 144, 875) = 1.

Given numbers are 688, 271, 144, 875

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 271 are 271

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 875 are 5 x 5 x 5 x 7

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

Given numbers are 688, 271, 144, 875

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

Apply this formula for all numbers.

Step1:

LCM(688, 271) = 186448

GCD(688, 271) = ( 688 x 271 ) / 186448

= 688 / 271

= 688

Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

Step3:

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

= 1 / 875

= 1

So, Greatest Common Divisor of 688, 271, 144, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 281, 173, 198
• GCD of 411, 924, 778, 330
• GCD of 331, 518, 403, 722
• GCD of 409, 150, 779, 191
• GCD of 521, 238, 209, 958

Given numbers are 688, 271, 144, 875
The greatest common divisor of numbers 688, 271, 144, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 271, 144, 875 is 1.

1. What is the GCD of 688, 271, 144, 875?

GCD of given numbers 688, 271, 144, 875 is 1

2. How to calculate the greatest common divisor of 688, 271, 144, 875?

We can find the highest common divisor of 688, 271, 144, 875 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, 271, 144, 875 i.e 1.

3. How can I use the GCD of 688, 271, 144, 875Calculator?

Out the numbers 688, 271, 144, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.