GCD of 987, 969, 916, 119 Calculator

Given Input numbers are 987, 969, 916, 119

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

Divisors of 987 :

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

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

GCD of numbers is the greatest common divisor

So, the GCD (987, 969, 916, 119) = 1.

Given numbers are 987, 969, 916, 119

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 969 are 3 x 17 x 19

Prime factors of 916 are 2 x 2 x 229

Prime factors of 119 are 7 x 17

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

Given numbers are 987, 969, 916, 119

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

Apply this formula for all numbers.

Step1:

LCM(987, 969) = 318801

GCD(987, 969) = ( 987 x 969 ) / 318801

= 987 / 969

= 987

Step2:

LCM(3, 916) = 2748

GCD(3, 916) = ( 3 x 916 ) / 2748

= 3 / 916

= 3

Step3:

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

= 1 / 119

= 1

So, Greatest Common Divisor of 987, 969, 916, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 553, 382, 251
• GCD of 727, 220, 214, 424
• GCD of 354, 511, 249, 757
• GCD of 882, 751, 999, 110
• GCD of 491, 319, 239, 211

Given numbers are 987, 969, 916, 119
The greatest common divisor of numbers 987, 969, 916, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 969, 916, 119 is 1.

1. What is the GCD of 987, 969, 916, 119?

GCD of given numbers 987, 969, 916, 119 is 1

2. How to calculate the greatest common divisor of 987, 969, 916, 119?

We can find the highest common divisor of 987, 969, 916, 119 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 987, 969, 916, 119 i.e 1.

3. How can I use the GCD of 987, 969, 916, 119Calculator?

Out the numbers 987, 969, 916, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.