GCD of 496, 954, 748, 124 Calculator

Given Input numbers are 496, 954, 748, 124

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 124 :

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

1, 2, 4, 31, 62, 124

GCD of numbers is the greatest common divisor

So, the GCD (496, 954, 748, 124) = 2.

Given numbers are 496, 954, 748, 124

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 954 are 2 x 3 x 3 x 53

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

Prime factors of 124 are 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 496, 954, 748, 124 is 2.

Given numbers are 496, 954, 748, 124

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

Apply this formula for all numbers.

Step1:

LCM(496, 954) = 236592

GCD(496, 954) = ( 496 x 954 ) / 236592

= 496 / 954

= 496

Step2:

LCM(2, 748) = 748

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

= 2 / 748

= 2

Step3:

LCM(2, 124) = 124

GCD(2, 124) = ( 2 x 124 ) / 124

= 2 / 124

= 2

So, Greatest Common Divisor of 496, 954, 748, 124 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 681, 890, 549
• GCD of 752, 235, 657, 913
• GCD of 333, 549, 130, 519
• GCD of 680, 484, 426, 613
• GCD of 490, 529, 218, 246

Given numbers are 496, 954, 748, 124
The greatest common divisor of numbers 496, 954, 748, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 954, 748, 124 is 2.

1. What is the GCD of 496, 954, 748, 124?

GCD of given numbers 496, 954, 748, 124 is 2

2. How to calculate the greatest common divisor of 496, 954, 748, 124?

We can find the highest common divisor of 496, 954, 748, 124 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 496, 954, 748, 124 i.e 2.

3. How can I use the GCD of 496, 954, 748, 124Calculator?

Out the numbers 496, 954, 748, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.