GCD of 138, 740, 346, 924 Calculator

Given Input numbers are 138, 740, 346, 924

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 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (138, 740, 346, 924) = 2.

Given numbers are 138, 740, 346, 924

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 346 are 2 x 173

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 138, 740, 346, 924 is 2.

Given numbers are 138, 740, 346, 924

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

Apply this formula for all numbers.

Step1:

LCM(138, 740) = 51060

GCD(138, 740) = ( 138 x 740 ) / 51060

= 138 / 740

= 138

Step2:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 138, 740, 346, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 138, 151, 226
• GCD of 482, 137, 394, 133
• GCD of 187, 572, 227, 851
• GCD of 952, 140, 845, 723
• GCD of 584, 692, 336, 604

Given numbers are 138, 740, 346, 924
The greatest common divisor of numbers 138, 740, 346, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 740, 346, 924 is 2.

1. What is the GCD of 138, 740, 346, 924?

GCD of given numbers 138, 740, 346, 924 is 2

2. How to calculate the greatest common divisor of 138, 740, 346, 924?

We can find the highest common divisor of 138, 740, 346, 924 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, 740, 346, 924 i.e 2.

3. How can I use the GCD of 138, 740, 346, 924Calculator?

Out the numbers 138, 740, 346, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.