GCD of 272, 748, 600, 238 Calculator

Given Input numbers are 272, 748, 600, 238

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 (272, 748, 600, 238) = 2.

Given numbers are 272, 748, 600, 238

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 272, 748, 600, 238 is 2.

Given numbers are 272, 748, 600, 238

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

Apply this formula for all numbers.

Step1:

LCM(272, 748) = 2992

GCD(272, 748) = ( 272 x 748 ) / 2992

= 272 / 748

= 272

Step2:

LCM(68, 600) = 10200

GCD(68, 600) = ( 68 x 600 ) / 10200

= 68 / 600

= 68

Step3:

LCM(4, 238) = 476

GCD(4, 238) = ( 4 x 238 ) / 476

= 4 / 238

= 4

So, Greatest Common Divisor of 272, 748, 600, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 427, 195, 984
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Given numbers are 272, 748, 600, 238
The greatest common divisor of numbers 272, 748, 600, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 748, 600, 238 is 2.

1. What is the GCD of 272, 748, 600, 238?

GCD of given numbers 272, 748, 600, 238 is 2

2. How to calculate the greatest common divisor of 272, 748, 600, 238?

We can find the highest common divisor of 272, 748, 600, 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 272, 748, 600, 238 i.e 2.

3. How can I use the GCD of 272, 748, 600, 238Calculator?

Out the numbers 272, 748, 600, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.