GCD of 138, 506, 912, 748 Calculator

Given Input numbers are 138, 506, 912, 748

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 (138, 506, 912, 748) = 2.

Given numbers are 138, 506, 912, 748

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 506 are 2 x 11 x 23

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 138, 506, 912, 748 is 2.

Given numbers are 138, 506, 912, 748

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

Apply this formula for all numbers.

Step1:

LCM(138, 506) = 1518

GCD(138, 506) = ( 138 x 506 ) / 1518

= 138 / 506

= 138

Step2:

LCM(46, 912) = 20976

GCD(46, 912) = ( 46 x 912 ) / 20976

= 46 / 912

= 46

Step3:

LCM(2, 748) = 748

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

= 2 / 748

= 2

So, Greatest Common Divisor of 138, 506, 912, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 336, 427, 625
• GCD of 480, 649, 799, 910
• GCD of 807, 685, 812, 116
• GCD of 836, 869, 708, 606
• GCD of 726, 582, 234, 191

Given numbers are 138, 506, 912, 748
The greatest common divisor of numbers 138, 506, 912, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 506, 912, 748 is 2.

1. What is the GCD of 138, 506, 912, 748?

GCD of given numbers 138, 506, 912, 748 is 2

2. How to calculate the greatest common divisor of 138, 506, 912, 748?

We can find the highest common divisor of 138, 506, 912, 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 138, 506, 912, 748 i.e 2.

3. How can I use the GCD of 138, 506, 912, 748Calculator?

Out the numbers 138, 506, 912, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.