GCD of 130, 235, 724 Calculator

Given Input numbers are 130, 235, 724

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

Divisors of 130 :

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

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (130, 235, 724) = 1.

Given numbers are 130, 235, 724

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 235 are 5 x 47

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 130, 235, 724

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

Apply this formula for all numbers.

Step1:

LCM(130, 235) = 6110

GCD(130, 235) = ( 130 x 235 ) / 6110

= 130 / 235

= 130

Step2:

LCM(5, 724) = 3620

GCD(5, 724) = ( 5 x 724 ) / 3620

= 5 / 724

= 5

So, Greatest Common Divisor of 130, 235, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 723, 461
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Given numbers are 130, 235, 724
The greatest common divisor of numbers 130, 235, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 235, 724 is 1.

1. What is the GCD of 130, 235, 724?

GCD of given numbers 130, 235, 724 is 1

2. How to calculate the greatest common divisor of 130, 235, 724?

We can find the highest common divisor of 130, 235, 724 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 130, 235, 724 i.e 1.

3. How can I use the GCD of 130, 235, 724Calculator?

Out the numbers 130, 235, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.