GCD of 645, 215, 980, 130 Calculator

Given Input numbers are 645, 215, 980, 130

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

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 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (645, 215, 980, 130) = 5.

Given numbers are 645, 215, 980, 130

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 215 are 5 x 43

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

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 5¹

Therefore, GCD of 645, 215, 980, 130 is 5.

Given numbers are 645, 215, 980, 130

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

Apply this formula for all numbers.

Step1:

LCM(645, 215) = 645

GCD(645, 215) = ( 645 x 215 ) / 645

= 645 / 215

= 645

Step2:

LCM(215, 980) = 42140

GCD(215, 980) = ( 215 x 980 ) / 42140

= 215 / 980

= 215

Step3:

LCM(5, 130) = 130

GCD(5, 130) = ( 5 x 130 ) / 130

= 5 / 130

= 5

So, Greatest Common Divisor of 645, 215, 980, 130 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 533, 641, 562
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• GCD of 796, 211, 692, 585
• GCD of 448, 794, 492, 655
• GCD of 106, 311, 561, 229

Given numbers are 645, 215, 980, 130
The greatest common divisor of numbers 645, 215, 980, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 215, 980, 130 is 5.

1. What is the GCD of 645, 215, 980, 130?

GCD of given numbers 645, 215, 980, 130 is 5

2. How to calculate the greatest common divisor of 645, 215, 980, 130?

We can find the highest common divisor of 645, 215, 980, 130 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 645, 215, 980, 130 i.e 5.

3. How can I use the GCD of 645, 215, 980, 130Calculator?

Out the numbers 645, 215, 980, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.