GCD of 995, 864, 978, 987 Calculator

Given Input numbers are 995, 864, 978, 987

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

Divisors of 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 (995, 864, 978, 987) = 1.

Given numbers are 995, 864, 978, 987

The list of prime factors of all numbers are

Prime factors of 995 are 5 x 199

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 978 are 2 x 3 x 163

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 995, 864, 978, 987

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

Apply this formula for all numbers.

Step1:

LCM(995, 864) = 859680

GCD(995, 864) = ( 995 x 864 ) / 859680

= 995 / 864

= 995

Step2:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

Step3:

LCM(1, 987) = 987

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

= 1 / 987

= 1

So, Greatest Common Divisor of 995, 864, 978, 987 is 1

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Given numbers are 995, 864, 978, 987
The greatest common divisor of numbers 995, 864, 978, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 995, 864, 978, 987 is 1.

1. What is the GCD of 995, 864, 978, 987?

GCD of given numbers 995, 864, 978, 987 is 1

2. How to calculate the greatest common divisor of 995, 864, 978, 987?

We can find the highest common divisor of 995, 864, 978, 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 995, 864, 978, 987 i.e 1.

3. How can I use the GCD of 995, 864, 978, 987Calculator?

Out the numbers 995, 864, 978, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.