GCD of 417, 138, 351, 732 Calculator

Given Input numbers are 417, 138, 351, 732

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

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

Divisors of 138 :

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

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (417, 138, 351, 732) = 3.

Given numbers are 417, 138, 351, 732

The list of prime factors of all numbers are

Prime factors of 417 are 3 x 139

Prime factors of 138 are 2 x 3 x 23

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 417, 138, 351, 732 is 3.

Given numbers are 417, 138, 351, 732

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

Apply this formula for all numbers.

Step1:

LCM(417, 138) = 19182

GCD(417, 138) = ( 417 x 138 ) / 19182

= 417 / 138

= 417

Step2:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 417, 138, 351, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 766, 223, 835
• GCD of 523, 446, 105, 190
• GCD of 847, 653, 340, 883
• GCD of 417, 719, 167, 927
• GCD of 613, 290, 357, 311

Given numbers are 417, 138, 351, 732
The greatest common divisor of numbers 417, 138, 351, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 417, 138, 351, 732 is 3.

1. What is the GCD of 417, 138, 351, 732?

GCD of given numbers 417, 138, 351, 732 is 3

2. How to calculate the greatest common divisor of 417, 138, 351, 732?

We can find the highest common divisor of 417, 138, 351, 732 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 417, 138, 351, 732 i.e 3.

3. How can I use the GCD of 417, 138, 351, 732Calculator?

Out the numbers 417, 138, 351, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.