GCD of 688, 252, 748, 707 Calculator

Given Input numbers are 688, 252, 748, 707

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

GCD of numbers is the greatest common divisor

So, the GCD (688, 252, 748, 707) = 1.

Given numbers are 688, 252, 748, 707

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 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 707 are 7 x 101

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

Given numbers are 688, 252, 748, 707

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

Apply this formula for all numbers.

Step1:

LCM(688, 252) = 43344

GCD(688, 252) = ( 688 x 252 ) / 43344

= 688 / 252

= 688

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

= 4 / 707

= 4

So, Greatest Common Divisor of 688, 252, 748, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 937, 728, 601
• GCD of 720, 145, 405, 428
• GCD of 727, 615, 551, 926
• GCD of 362, 332, 658, 114
• GCD of 382, 477, 444, 584

Given numbers are 688, 252, 748, 707
The greatest common divisor of numbers 688, 252, 748, 707 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 252, 748, 707 is 1.

1. What is the GCD of 688, 252, 748, 707?

GCD of given numbers 688, 252, 748, 707 is 1

2. How to calculate the greatest common divisor of 688, 252, 748, 707?

We can find the highest common divisor of 688, 252, 748, 707 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, 252, 748, 707 i.e 1.

3. How can I use the GCD of 688, 252, 748, 707Calculator?

Out the numbers 688, 252, 748, 707 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.