GCD of 109, 680, 987 Calculator

Given Input numbers are 109, 680, 987

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 987 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (109, 680, 987) = 1.

Given numbers are 109, 680, 987

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 109, 680, 987

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

Apply this formula for all numbers.

Step1:

LCM(109, 680) = 74120

GCD(109, 680) = ( 109 x 680 ) / 74120

= 109 / 680

= 109

Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 109, 680, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 106, 175
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Given numbers are 109, 680, 987
The greatest common divisor of numbers 109, 680, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 680, 987 is 1.

1. What is the GCD of 109, 680, 987?

GCD of given numbers 109, 680, 987 is 1

2. How to calculate the greatest common divisor of 109, 680, 987?

We can find the highest common divisor of 109, 680, 987 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 109, 680, 987 i.e 1.

3. How can I use the GCD of 109, 680, 987Calculator?

Out the numbers 109, 680, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.