GCD of 510, 642, 844, 980 Calculator

Given Input numbers are 510, 642, 844, 980

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

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (510, 642, 844, 980) = 2.

Given numbers are 510, 642, 844, 980

The list of prime factors of all numbers are

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 844 are 2 x 2 x 211

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 510, 642, 844, 980 is 2.

Given numbers are 510, 642, 844, 980

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

Apply this formula for all numbers.

Step1:

LCM(510, 642) = 54570

GCD(510, 642) = ( 510 x 642 ) / 54570

= 510 / 642

= 510

Step2:

LCM(6, 844) = 2532

GCD(6, 844) = ( 6 x 844 ) / 2532

= 6 / 844

= 6

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 510, 642, 844, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 700, 410, 431
• GCD of 569, 836, 127, 763
• GCD of 852, 134, 327, 432
• GCD of 970, 991, 693, 648
• GCD of 327, 871, 431, 620

Given numbers are 510, 642, 844, 980
The greatest common divisor of numbers 510, 642, 844, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 642, 844, 980 is 2.

1. What is the GCD of 510, 642, 844, 980?

GCD of given numbers 510, 642, 844, 980 is 2

2. How to calculate the greatest common divisor of 510, 642, 844, 980?

We can find the highest common divisor of 510, 642, 844, 980 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 510, 642, 844, 980 i.e 2.

3. How can I use the GCD of 510, 642, 844, 980Calculator?

Out the numbers 510, 642, 844, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.