GCD of 217, 196, 980 Calculator

Given Input numbers are 217, 196, 980

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 (217, 196, 980) = 7.

Given numbers are 217, 196, 980

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 196 are 2 x 2 x 7 x 7

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

The highest common occurrence is 7¹

Therefore, GCD of 217, 196, 980 is 7.

Given numbers are 217, 196, 980

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

Apply this formula for all numbers.

Step1:

LCM(217, 196) = 6076

GCD(217, 196) = ( 217 x 196 ) / 6076

= 217 / 196

= 217

Step2:

LCM(7, 980) = 980

GCD(7, 980) = ( 7 x 980 ) / 980

= 7 / 980

= 7

So, Greatest Common Divisor of 217, 196, 980 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 199, 655
• GCD of 104, 544, 828
• GCD of 264, 955, 655
• GCD of 906, 514, 888
• GCD of 180, 906, 895

Given numbers are 217, 196, 980
The greatest common divisor of numbers 217, 196, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 196, 980 is 7.

1. What is the GCD of 217, 196, 980?

GCD of given numbers 217, 196, 980 is 7

2. How to calculate the greatest common divisor of 217, 196, 980?

We can find the highest common divisor of 217, 196, 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 217, 196, 980 i.e 7.

3. How can I use the GCD of 217, 196, 980Calculator?

Out the numbers 217, 196, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.