GCD of 987, 119, 414, 720 Calculator

Given Input numbers are 987, 119, 414, 720

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 119 :

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

1, 7, 17, 119

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (987, 119, 414, 720) = 1.

Given numbers are 987, 119, 414, 720

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 119 are 7 x 17

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 987, 119, 414, 720

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

Apply this formula for all numbers.

Step1:

LCM(987, 119) = 16779

GCD(987, 119) = ( 987 x 119 ) / 16779

= 987 / 119

= 987

Step2:

LCM(7, 414) = 2898

GCD(7, 414) = ( 7 x 414 ) / 2898

= 7 / 414

= 7

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 987, 119, 414, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 654, 525, 586
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Given numbers are 987, 119, 414, 720
The greatest common divisor of numbers 987, 119, 414, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 119, 414, 720 is 1.

1. What is the GCD of 987, 119, 414, 720?

GCD of given numbers 987, 119, 414, 720 is 1

2. How to calculate the greatest common divisor of 987, 119, 414, 720?

We can find the highest common divisor of 987, 119, 414, 720 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, 119, 414, 720 i.e 1.

3. How can I use the GCD of 987, 119, 414, 720Calculator?

Out the numbers 987, 119, 414, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.