GCD of 724, 105, 658, 238 Calculator

Given Input numbers are 724, 105, 658, 238

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 105 :

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

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (724, 105, 658, 238) = 1.

Given numbers are 724, 105, 658, 238

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 105 are 3 x 5 x 7

Prime factors of 658 are 2 x 7 x 47

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 724, 105, 658, 238

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

Apply this formula for all numbers.

Step1:

LCM(724, 105) = 76020

GCD(724, 105) = ( 724 x 105 ) / 76020

= 724 / 105

= 724

Step2:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 724, 105, 658, 238 is 1

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• GCD of 494, 836, 250, 189
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Given numbers are 724, 105, 658, 238
The greatest common divisor of numbers 724, 105, 658, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 105, 658, 238 is 1.

1. What is the GCD of 724, 105, 658, 238?

GCD of given numbers 724, 105, 658, 238 is 1

2. How to calculate the greatest common divisor of 724, 105, 658, 238?

We can find the highest common divisor of 724, 105, 658, 238 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 724, 105, 658, 238 i.e 1.

3. How can I use the GCD of 724, 105, 658, 238Calculator?

Out the numbers 724, 105, 658, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.