GCD of 987, 510, 946, 684 Calculator

Given Input numbers are 987, 510, 946, 684

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (987, 510, 946, 684) = 1.

Given numbers are 987, 510, 946, 684

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 946 are 2 x 11 x 43

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 987, 510, 946, 684

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

Apply this formula for all numbers.

Step1:

LCM(987, 510) = 167790

GCD(987, 510) = ( 987 x 510 ) / 167790

= 987 / 510

= 987

Step2:

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

= 3 / 946

= 3

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 987, 510, 946, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 251, 797, 798
• GCD of 789, 661, 890, 294
• GCD of 619, 643, 805, 117
• GCD of 241, 636, 827, 256
• GCD of 267, 550, 181, 267

Given numbers are 987, 510, 946, 684
The greatest common divisor of numbers 987, 510, 946, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 510, 946, 684 is 1.

1. What is the GCD of 987, 510, 946, 684?

GCD of given numbers 987, 510, 946, 684 is 1

2. How to calculate the greatest common divisor of 987, 510, 946, 684?

We can find the highest common divisor of 987, 510, 946, 684 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, 510, 946, 684 i.e 1.

3. How can I use the GCD of 987, 510, 946, 684Calculator?

Out the numbers 987, 510, 946, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.