GCD of 382, 952, 359, 100 Calculator

Given Input numbers are 382, 952, 359, 100

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (382, 952, 359, 100) = 1.

Given numbers are 382, 952, 359, 100

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 359 are 359

Prime factors of 100 are 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 382, 952, 359, 100

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

Apply this formula for all numbers.

Step1:

LCM(382, 952) = 181832

GCD(382, 952) = ( 382 x 952 ) / 181832

= 382 / 952

= 382

Step2:

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

= 2 / 359

= 2

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 382, 952, 359, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 670, 666, 284
• GCD of 220, 475, 635, 707
• GCD of 194, 620, 920, 123
• GCD of 149, 789, 653, 395
• GCD of 235, 202, 759, 713

Given numbers are 382, 952, 359, 100
The greatest common divisor of numbers 382, 952, 359, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 952, 359, 100 is 1.

1. What is the GCD of 382, 952, 359, 100?

GCD of given numbers 382, 952, 359, 100 is 1

2. How to calculate the greatest common divisor of 382, 952, 359, 100?

We can find the highest common divisor of 382, 952, 359, 100 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 382, 952, 359, 100 i.e 1.

3. How can I use the GCD of 382, 952, 359, 100Calculator?

Out the numbers 382, 952, 359, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.