GCD of 688, 971, 438 Calculator

Given Input numbers are 688, 971, 438

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (688, 971, 438) = 1.

Given numbers are 688, 971, 438

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 971 are 971

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 688, 971, 438

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

Apply this formula for all numbers.

Step1:

LCM(688, 971) = 668048

GCD(688, 971) = ( 688 x 971 ) / 668048

= 688 / 971

= 688

Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 688, 971, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 746, 979
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Given numbers are 688, 971, 438
The greatest common divisor of numbers 688, 971, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 971, 438 is 1.

1. What is the GCD of 688, 971, 438?

GCD of given numbers 688, 971, 438 is 1

2. How to calculate the greatest common divisor of 688, 971, 438?

We can find the highest common divisor of 688, 971, 438 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, 971, 438 i.e 1.

3. How can I use the GCD of 688, 971, 438Calculator?

Out the numbers 688, 971, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.