GCD of 980, 722, 106, 509 Calculator

Given Input numbers are 980, 722, 106, 509

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (980, 722, 106, 509) = 1.

Given numbers are 980, 722, 106, 509

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 722 are 2 x 19 x 19

Prime factors of 106 are 2 x 53

Prime factors of 509 are 509

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

Given numbers are 980, 722, 106, 509

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

Apply this formula for all numbers.

Step1:

LCM(980, 722) = 353780

GCD(980, 722) = ( 980 x 722 ) / 353780

= 980 / 722

= 980

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 980, 722, 106, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 579, 714, 613
• GCD of 621, 285, 992, 431
• GCD of 947, 764, 612, 103
• GCD of 935, 975, 681, 223
• GCD of 956, 677, 896, 663

Given numbers are 980, 722, 106, 509
The greatest common divisor of numbers 980, 722, 106, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 722, 106, 509 is 1.

1. What is the GCD of 980, 722, 106, 509?

GCD of given numbers 980, 722, 106, 509 is 1

2. How to calculate the greatest common divisor of 980, 722, 106, 509?

We can find the highest common divisor of 980, 722, 106, 509 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, 722, 106, 509 i.e 1.

3. How can I use the GCD of 980, 722, 106, 509Calculator?

Out the numbers 980, 722, 106, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.