GCD of 689, 756, 975, 348 Calculator

Given Input numbers are 689, 756, 975, 348

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (689, 756, 975, 348) = 1.

Given numbers are 689, 756, 975, 348

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 348 are 2 x 2 x 3 x 29

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

Given numbers are 689, 756, 975, 348

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

Apply this formula for all numbers.

Step1:

LCM(689, 756) = 520884

GCD(689, 756) = ( 689 x 756 ) / 520884

= 689 / 756

= 689

Step2:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

Step3:

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

= 1 / 348

= 1

So, Greatest Common Divisor of 689, 756, 975, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 674, 459, 437
• GCD of 304, 704, 729, 601
• GCD of 487, 832, 658, 521
• GCD of 460, 177, 378, 103
• GCD of 400, 173, 551, 818

Given numbers are 689, 756, 975, 348
The greatest common divisor of numbers 689, 756, 975, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 756, 975, 348 is 1.

1. What is the GCD of 689, 756, 975, 348?

GCD of given numbers 689, 756, 975, 348 is 1

2. How to calculate the greatest common divisor of 689, 756, 975, 348?

We can find the highest common divisor of 689, 756, 975, 348 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 689, 756, 975, 348 i.e 1.

3. How can I use the GCD of 689, 756, 975, 348Calculator?

Out the numbers 689, 756, 975, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.