GCD of 987, 528, 492, 940 Calculator

Given Input numbers are 987, 528, 492, 940

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 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (987, 528, 492, 940) = 1.

Given numbers are 987, 528, 492, 940

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 940 are 2 x 2 x 5 x 47

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

Given numbers are 987, 528, 492, 940

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

Apply this formula for all numbers.

Step1:

LCM(987, 528) = 173712

GCD(987, 528) = ( 987 x 528 ) / 173712

= 987 / 528

= 987

Step2:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

Step3:

LCM(3, 940) = 2820

GCD(3, 940) = ( 3 x 940 ) / 2820

= 3 / 940

= 3

So, Greatest Common Divisor of 987, 528, 492, 940 is 1

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Given numbers are 987, 528, 492, 940
The greatest common divisor of numbers 987, 528, 492, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 528, 492, 940 is 1.

1. What is the GCD of 987, 528, 492, 940?

GCD of given numbers 987, 528, 492, 940 is 1

2. How to calculate the greatest common divisor of 987, 528, 492, 940?

We can find the highest common divisor of 987, 528, 492, 940 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, 528, 492, 940 i.e 1.

3. How can I use the GCD of 987, 528, 492, 940Calculator?

Out the numbers 987, 528, 492, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.