GCD of 138, 474, 730, 934 Calculator

Given Input numbers are 138, 474, 730, 934

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 934 :

The positive integer divisors of 934 that completely divides 934 are.

1, 2, 467, 934

GCD of numbers is the greatest common divisor

So, the GCD (138, 474, 730, 934) = 2.

Given numbers are 138, 474, 730, 934

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 474 are 2 x 3 x 79

Prime factors of 730 are 2 x 5 x 73

Prime factors of 934 are 2 x 467

The highest common occurrence is 2¹

Therefore, GCD of 138, 474, 730, 934 is 2.

Given numbers are 138, 474, 730, 934

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

Apply this formula for all numbers.

Step1:

LCM(138, 474) = 10902

GCD(138, 474) = ( 138 x 474 ) / 10902

= 138 / 474

= 138

Step2:

LCM(6, 730) = 2190

GCD(6, 730) = ( 6 x 730 ) / 2190

= 6 / 730

= 6

Step3:

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

= 2 / 934

= 2

So, Greatest Common Divisor of 138, 474, 730, 934 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 415, 914, 341
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Given numbers are 138, 474, 730, 934
The greatest common divisor of numbers 138, 474, 730, 934 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 474, 730, 934 is 2.

1. What is the GCD of 138, 474, 730, 934?

GCD of given numbers 138, 474, 730, 934 is 2

2. How to calculate the greatest common divisor of 138, 474, 730, 934?

We can find the highest common divisor of 138, 474, 730, 934 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, 474, 730, 934 i.e 2.

3. How can I use the GCD of 138, 474, 730, 934Calculator?

Out the numbers 138, 474, 730, 934 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.