GCD of 124, 514, 242, 748 Calculator

Given Input numbers are 124, 514, 242, 748

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

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

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

GCD of numbers is the greatest common divisor

So, the GCD (124, 514, 242, 748) = 2.

Given numbers are 124, 514, 242, 748

The list of prime factors of all numbers are

Prime factors of 124 are 2 x 2 x 31

Prime factors of 514 are 2 x 257

Prime factors of 242 are 2 x 11 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 124, 514, 242, 748 is 2.

Given numbers are 124, 514, 242, 748

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

Apply this formula for all numbers.

Step1:

LCM(124, 514) = 31868

GCD(124, 514) = ( 124 x 514 ) / 31868

= 124 / 514

= 124

Step2:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 124, 514, 242, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 362, 627, 116
• GCD of 918, 401, 997, 246
• GCD of 521, 176, 154, 162
• GCD of 917, 944, 300, 820
• GCD of 400, 428, 364, 707

Given numbers are 124, 514, 242, 748
The greatest common divisor of numbers 124, 514, 242, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 514, 242, 748 is 2.

1. What is the GCD of 124, 514, 242, 748?

GCD of given numbers 124, 514, 242, 748 is 2

2. How to calculate the greatest common divisor of 124, 514, 242, 748?

We can find the highest common divisor of 124, 514, 242, 748 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 124, 514, 242, 748 i.e 2.

3. How can I use the GCD of 124, 514, 242, 748Calculator?

Out the numbers 124, 514, 242, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.