GCD of 282, 980, 342, 689 Calculator

Given Input numbers are 282, 980, 342, 689

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

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (282, 980, 342, 689) = 1.

Given numbers are 282, 980, 342, 689

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 689 are 13 x 53

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

Given numbers are 282, 980, 342, 689

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

Apply this formula for all numbers.

Step1:

LCM(282, 980) = 138180

GCD(282, 980) = ( 282 x 980 ) / 138180

= 282 / 980

= 282

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 282, 980, 342, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 953, 325, 734
• GCD of 506, 281, 838, 131
• GCD of 999, 852, 639, 777
• GCD of 941, 309, 846, 185
• GCD of 500, 274, 898, 900

Given numbers are 282, 980, 342, 689
The greatest common divisor of numbers 282, 980, 342, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 980, 342, 689 is 1.

1. What is the GCD of 282, 980, 342, 689?

GCD of given numbers 282, 980, 342, 689 is 1

2. How to calculate the greatest common divisor of 282, 980, 342, 689?

We can find the highest common divisor of 282, 980, 342, 689 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 282, 980, 342, 689 i.e 1.

3. How can I use the GCD of 282, 980, 342, 689Calculator?

Out the numbers 282, 980, 342, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.