GCD of 634, 298, 724, 238 Calculator

Given Input numbers are 634, 298, 724, 238

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

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 (634, 298, 724, 238) = 2.

Given numbers are 634, 298, 724, 238

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 298 are 2 x 149

Prime factors of 724 are 2 x 2 x 181

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 634, 298, 724, 238 is 2.

Given numbers are 634, 298, 724, 238

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

Apply this formula for all numbers.

Step1:

LCM(634, 298) = 94466

GCD(634, 298) = ( 634 x 298 ) / 94466

= 634 / 298

= 634

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 634, 298, 724, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 697, 392, 621
• GCD of 469, 740, 726, 200
• GCD of 720, 496, 280, 854
• GCD of 305, 689, 354, 798
• GCD of 289, 198, 338, 724

Given numbers are 634, 298, 724, 238
The greatest common divisor of numbers 634, 298, 724, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 298, 724, 238 is 2.

1. What is the GCD of 634, 298, 724, 238?

GCD of given numbers 634, 298, 724, 238 is 2

2. How to calculate the greatest common divisor of 634, 298, 724, 238?

We can find the highest common divisor of 634, 298, 724, 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 634, 298, 724, 238 i.e 2.

3. How can I use the GCD of 634, 298, 724, 238Calculator?

Out the numbers 634, 298, 724, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.