GCD of 315, 868, 688, 660 Calculator

Given Input numbers are 315, 868, 688, 660

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (315, 868, 688, 660) = 1.

Given numbers are 315, 868, 688, 660

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 315, 868, 688, 660

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

Apply this formula for all numbers.

Step1:

LCM(315, 868) = 39060

GCD(315, 868) = ( 315 x 868 ) / 39060

= 315 / 868

= 315

Step2:

LCM(7, 688) = 4816

GCD(7, 688) = ( 7 x 688 ) / 4816

= 7 / 688

= 7

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 315, 868, 688, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 536, 948, 240
• GCD of 423, 519, 293, 462
• GCD of 259, 263, 329, 281
• GCD of 197, 511, 458, 286
• GCD of 962, 750, 978, 282

Given numbers are 315, 868, 688, 660
The greatest common divisor of numbers 315, 868, 688, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 868, 688, 660 is 1.

1. What is the GCD of 315, 868, 688, 660?

GCD of given numbers 315, 868, 688, 660 is 1

2. How to calculate the greatest common divisor of 315, 868, 688, 660?

We can find the highest common divisor of 315, 868, 688, 660 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 315, 868, 688, 660 i.e 1.

3. How can I use the GCD of 315, 868, 688, 660Calculator?

Out the numbers 315, 868, 688, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.