GCD of 315, 987, 91 Calculator

Given Input numbers are 315, 987, 91

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 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 91 :

The positive integer divisors of 91 that completely divides 91 are.

1, 7, 13, 91

GCD of numbers is the greatest common divisor

So, the GCD (315, 987, 91) = 7.

Given numbers are 315, 987, 91

The list of prime factors of all numbers are

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

Prime factors of 987 are 3 x 7 x 47

Prime factors of 91 are 7 x 13

The highest common occurrence is 7¹

Therefore, GCD of 315, 987, 91 is 7.

Given numbers are 315, 987, 91

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

Apply this formula for all numbers.

Step1:

LCM(315, 987) = 14805

GCD(315, 987) = ( 315 x 987 ) / 14805

= 315 / 987

= 315

Step2:

LCM(21, 91) = 273

GCD(21, 91) = ( 21 x 91 ) / 273

= 21 / 91

= 21

So, Greatest Common Divisor of 315, 987, 91 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 987, 72
• GCD of 466, 308, 54
• GCD of 901, 379, 13
• GCD of 671, 506, 75
• GCD of 444, 919, 35

Given numbers are 315, 987, 91
The greatest common divisor of numbers 315, 987, 91 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 987, 91 is 7.

1. What is the GCD of 315, 987, 91?

GCD of given numbers 315, 987, 91 is 7

2. How to calculate the greatest common divisor of 315, 987, 91?

We can find the highest common divisor of 315, 987, 91 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, 987, 91 i.e 7.

3. How can I use the GCD of 315, 987, 91Calculator?

Out the numbers 315, 987, 91 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.