GCD of 759, 312, 138, 474 Calculator

Given Input numbers are 759, 312, 138, 474

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

GCD of numbers is the greatest common divisor

So, the GCD (759, 312, 138, 474) = 3.

Given numbers are 759, 312, 138, 474

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 759, 312, 138, 474 is 3.

Given numbers are 759, 312, 138, 474

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

Apply this formula for all numbers.

Step1:

LCM(759, 312) = 78936

GCD(759, 312) = ( 759 x 312 ) / 78936

= 759 / 312

= 759

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 759, 312, 138, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 271, 433, 704
• GCD of 458, 123, 799, 810
• GCD of 244, 579, 104, 707
• GCD of 318, 598, 357, 262
• GCD of 223, 613, 692, 402

Given numbers are 759, 312, 138, 474
The greatest common divisor of numbers 759, 312, 138, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 312, 138, 474 is 3.

1. What is the GCD of 759, 312, 138, 474?

GCD of given numbers 759, 312, 138, 474 is 3

2. How to calculate the greatest common divisor of 759, 312, 138, 474?

We can find the highest common divisor of 759, 312, 138, 474 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 759, 312, 138, 474 i.e 3.

3. How can I use the GCD of 759, 312, 138, 474Calculator?

Out the numbers 759, 312, 138, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.