GCD of 315, 708, 169, 991 Calculator

Given Input numbers are 315, 708, 169, 991

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (315, 708, 169, 991) = 1.

Given numbers are 315, 708, 169, 991

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 169 are 13 x 13

Prime factors of 991 are 991

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

Given numbers are 315, 708, 169, 991

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

Apply this formula for all numbers.

Step1:

LCM(315, 708) = 74340

GCD(315, 708) = ( 315 x 708 ) / 74340

= 315 / 708

= 315

Step2:

LCM(3, 169) = 507

GCD(3, 169) = ( 3 x 169 ) / 507

= 3 / 169

= 3

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 315, 708, 169, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 865, 883, 531
• GCD of 312, 549, 477, 880
• GCD of 309, 698, 450, 941
• GCD of 352, 278, 166, 851
• GCD of 605, 108, 974, 135

Given numbers are 315, 708, 169, 991
The greatest common divisor of numbers 315, 708, 169, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 708, 169, 991 is 1.

1. What is the GCD of 315, 708, 169, 991?

GCD of given numbers 315, 708, 169, 991 is 1

2. How to calculate the greatest common divisor of 315, 708, 169, 991?

We can find the highest common divisor of 315, 708, 169, 991 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, 708, 169, 991 i.e 1.

3. How can I use the GCD of 315, 708, 169, 991Calculator?

Out the numbers 315, 708, 169, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.