GCD of 687, 152, 738, 975 Calculator

Given Input numbers are 687, 152, 738, 975

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

GCD of numbers is the greatest common divisor

So, the GCD (687, 152, 738, 975) = 1.

Given numbers are 687, 152, 738, 975

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 738 are 2 x 3 x 3 x 41

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

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

Given numbers are 687, 152, 738, 975

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

Apply this formula for all numbers.

Step1:

LCM(687, 152) = 104424

GCD(687, 152) = ( 687 x 152 ) / 104424

= 687 / 152

= 687

Step2:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

Step3:

LCM(1, 975) = 975

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

= 1 / 975

= 1

So, Greatest Common Divisor of 687, 152, 738, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 775, 234, 762
• GCD of 248, 549, 376, 634
• GCD of 650, 655, 275, 717
• GCD of 125, 776, 438, 967
• GCD of 547, 657, 262, 577

Given numbers are 687, 152, 738, 975
The greatest common divisor of numbers 687, 152, 738, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 152, 738, 975 is 1.

1. What is the GCD of 687, 152, 738, 975?

GCD of given numbers 687, 152, 738, 975 is 1

2. How to calculate the greatest common divisor of 687, 152, 738, 975?

We can find the highest common divisor of 687, 152, 738, 975 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 687, 152, 738, 975 i.e 1.

3. How can I use the GCD of 687, 152, 738, 975Calculator?

Out the numbers 687, 152, 738, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.