GCD of 987, 501, 971, 210 Calculator

Given Input numbers are 987, 501, 971, 210

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 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (987, 501, 971, 210) = 1.

Given numbers are 987, 501, 971, 210

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 501 are 3 x 167

Prime factors of 971 are 971

Prime factors of 210 are 2 x 3 x 5 x 7

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

Given numbers are 987, 501, 971, 210

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

Apply this formula for all numbers.

Step1:

LCM(987, 501) = 164829

GCD(987, 501) = ( 987 x 501 ) / 164829

= 987 / 501

= 987

Step2:

LCM(3, 971) = 2913

GCD(3, 971) = ( 3 x 971 ) / 2913

= 3 / 971

= 3

Step3:

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

= 1 / 210

= 1

So, Greatest Common Divisor of 987, 501, 971, 210 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 761, 853, 211
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Given numbers are 987, 501, 971, 210
The greatest common divisor of numbers 987, 501, 971, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 501, 971, 210 is 1.

1. What is the GCD of 987, 501, 971, 210?

GCD of given numbers 987, 501, 971, 210 is 1

2. How to calculate the greatest common divisor of 987, 501, 971, 210?

We can find the highest common divisor of 987, 501, 971, 210 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, 501, 971, 210 i.e 1.

3. How can I use the GCD of 987, 501, 971, 210Calculator?

Out the numbers 987, 501, 971, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.