GCD of 138, 742, 418, 920 Calculator

Given Input numbers are 138, 742, 418, 920

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (138, 742, 418, 920) = 2.

Given numbers are 138, 742, 418, 920

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 742 are 2 x 7 x 53

Prime factors of 418 are 2 x 11 x 19

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 138, 742, 418, 920 is 2.

Given numbers are 138, 742, 418, 920

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

Apply this formula for all numbers.

Step1:

LCM(138, 742) = 51198

GCD(138, 742) = ( 138 x 742 ) / 51198

= 138 / 742

= 138

Step2:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 138, 742, 418, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 593, 562, 522
• GCD of 797, 839, 600, 820
• GCD of 323, 260, 951, 573
• GCD of 135, 384, 427, 397
• GCD of 665, 413, 498, 481

Given numbers are 138, 742, 418, 920
The greatest common divisor of numbers 138, 742, 418, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 742, 418, 920 is 2.

1. What is the GCD of 138, 742, 418, 920?

GCD of given numbers 138, 742, 418, 920 is 2

2. How to calculate the greatest common divisor of 138, 742, 418, 920?

We can find the highest common divisor of 138, 742, 418, 920 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, 742, 418, 920 i.e 2.

3. How can I use the GCD of 138, 742, 418, 920Calculator?

Out the numbers 138, 742, 418, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.