GCD of 980, 511, 462, 798 Calculator

Given Input numbers are 980, 511, 462, 798

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

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

Divisors of 511 :

The positive integer divisors of 511 that completely divides 511 are.

1, 7, 73, 511

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (980, 511, 462, 798) = 7.

Given numbers are 980, 511, 462, 798

The list of prime factors of all numbers are

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

Prime factors of 511 are 7 x 73

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 980, 511, 462, 798 is 7.

Given numbers are 980, 511, 462, 798

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

Apply this formula for all numbers.

Step1:

LCM(980, 511) = 71540

GCD(980, 511) = ( 980 x 511 ) / 71540

= 980 / 511

= 980

Step2:

LCM(7, 462) = 462

GCD(7, 462) = ( 7 x 462 ) / 462

= 7 / 462

= 7

Step3:

LCM(7, 798) = 798

GCD(7, 798) = ( 7 x 798 ) / 798

= 7 / 798

= 7

So, Greatest Common Divisor of 980, 511, 462, 798 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 959, 696, 445
• GCD of 162, 940, 890, 892
• GCD of 241, 789, 505, 944
• GCD of 547, 963, 127, 452
• GCD of 434, 513, 752, 564

Given numbers are 980, 511, 462, 798
The greatest common divisor of numbers 980, 511, 462, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 511, 462, 798 is 7.

1. What is the GCD of 980, 511, 462, 798?

GCD of given numbers 980, 511, 462, 798 is 7

2. How to calculate the greatest common divisor of 980, 511, 462, 798?

We can find the highest common divisor of 980, 511, 462, 798 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 980, 511, 462, 798 i.e 7.

3. How can I use the GCD of 980, 511, 462, 798Calculator?

Out the numbers 980, 511, 462, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.