GCD of 645, 138, 690, 310 Calculator

Given Input numbers are 645, 138, 690, 310

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (645, 138, 690, 310) = 1.

Given numbers are 645, 138, 690, 310

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 138 are 2 x 3 x 23

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 645, 138, 690, 310

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

Apply this formula for all numbers.

Step1:

LCM(645, 138) = 29670

GCD(645, 138) = ( 645 x 138 ) / 29670

= 645 / 138

= 645

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

Step3:

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

= 3 / 310

= 3

So, Greatest Common Divisor of 645, 138, 690, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 819, 412, 303
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• GCD of 915, 847, 202, 518
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Given numbers are 645, 138, 690, 310
The greatest common divisor of numbers 645, 138, 690, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 138, 690, 310 is 1.

1. What is the GCD of 645, 138, 690, 310?

GCD of given numbers 645, 138, 690, 310 is 1

2. How to calculate the greatest common divisor of 645, 138, 690, 310?

We can find the highest common divisor of 645, 138, 690, 310 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, 138, 690, 310 i.e 1.

3. How can I use the GCD of 645, 138, 690, 310Calculator?

Out the numbers 645, 138, 690, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.