GCD of 659, 980, 420, 829 Calculator

Given Input numbers are 659, 980, 420, 829

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

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (659, 980, 420, 829) = 1.

Given numbers are 659, 980, 420, 829

The list of prime factors of all numbers are

Prime factors of 659 are 659

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 829 are 829

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

Given numbers are 659, 980, 420, 829

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

Apply this formula for all numbers.

Step1:

LCM(659, 980) = 645820

GCD(659, 980) = ( 659 x 980 ) / 645820

= 659 / 980

= 659

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 659, 980, 420, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 859, 599, 693
• GCD of 943, 143, 329, 130
• GCD of 622, 509, 267, 235
• GCD of 809, 893, 141, 407
• GCD of 465, 326, 428, 938

Given numbers are 659, 980, 420, 829
The greatest common divisor of numbers 659, 980, 420, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 659, 980, 420, 829 is 1.

1. What is the GCD of 659, 980, 420, 829?

GCD of given numbers 659, 980, 420, 829 is 1

2. How to calculate the greatest common divisor of 659, 980, 420, 829?

We can find the highest common divisor of 659, 980, 420, 829 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 659, 980, 420, 829 i.e 1.

3. How can I use the GCD of 659, 980, 420, 829Calculator?

Out the numbers 659, 980, 420, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.