GCD of 124, 748, 292, 298 Calculator

Given Input numbers are 124, 748, 292, 298

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 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 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 298 :

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

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (124, 748, 292, 298) = 2.

Given numbers are 124, 748, 292, 298

The list of prime factors of all numbers are

Prime factors of 124 are 2 x 2 x 31

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

Prime factors of 292 are 2 x 2 x 73

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 124, 748, 292, 298 is 2.

Given numbers are 124, 748, 292, 298

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

Apply this formula for all numbers.

Step1:

LCM(124, 748) = 23188

GCD(124, 748) = ( 124 x 748 ) / 23188

= 124 / 748

= 124

Step2:

LCM(4, 292) = 292

GCD(4, 292) = ( 4 x 292 ) / 292

= 4 / 292

= 4

Step3:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

So, Greatest Common Divisor of 124, 748, 292, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 686, 266, 857
• GCD of 463, 534, 316, 377
• GCD of 943, 709, 129, 993
• GCD of 922, 778, 806, 888
• GCD of 553, 455, 521, 590

Given numbers are 124, 748, 292, 298
The greatest common divisor of numbers 124, 748, 292, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 748, 292, 298 is 2.

1. What is the GCD of 124, 748, 292, 298?

GCD of given numbers 124, 748, 292, 298 is 2

2. How to calculate the greatest common divisor of 124, 748, 292, 298?

We can find the highest common divisor of 124, 748, 292, 298 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, 748, 292, 298 i.e 2.

3. How can I use the GCD of 124, 748, 292, 298Calculator?

Out the numbers 124, 748, 292, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.