GCD of 325, 105, 644, 140 Calculator

Given Input numbers are 325, 105, 644, 140

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

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (325, 105, 644, 140) = 1.

Given numbers are 325, 105, 644, 140

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 105 are 3 x 5 x 7

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 140 are 2 x 2 x 5 x 7

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

Given numbers are 325, 105, 644, 140

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

Apply this formula for all numbers.

Step1:

LCM(325, 105) = 6825

GCD(325, 105) = ( 325 x 105 ) / 6825

= 325 / 105

= 325

Step2:

LCM(5, 644) = 3220

GCD(5, 644) = ( 5 x 644 ) / 3220

= 5 / 644

= 5

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 325, 105, 644, 140 is 1

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Given numbers are 325, 105, 644, 140
The greatest common divisor of numbers 325, 105, 644, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 105, 644, 140 is 1.

1. What is the GCD of 325, 105, 644, 140?

GCD of given numbers 325, 105, 644, 140 is 1

2. How to calculate the greatest common divisor of 325, 105, 644, 140?

We can find the highest common divisor of 325, 105, 644, 140 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 325, 105, 644, 140 i.e 1.

3. How can I use the GCD of 325, 105, 644, 140Calculator?

Out the numbers 325, 105, 644, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.