GCD of 100, 239, 76, 349 Calculator

Given Input numbers are 100, 239, 76, 349

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

Divisors of 100 :

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

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

Divisors of 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (100, 239, 76, 349) = 1.

Given numbers are 100, 239, 76, 349

The list of prime factors of all numbers are

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

Prime factors of 239 are 239

Prime factors of 76 are 2 x 2 x 19

Prime factors of 349 are 349

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

Given numbers are 100, 239, 76, 349

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

Apply this formula for all numbers.

Step1:

LCM(100, 239) = 23900

GCD(100, 239) = ( 100 x 239 ) / 23900

= 100 / 239

= 100

Step2:

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

= 1 / 76

= 1

Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

So, Greatest Common Divisor of 100, 239, 76, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 767, 43, 185
• GCD of 290, 961, 36, 443
• GCD of 802, 694, 56, 792
• GCD of 852, 888, 79, 148
• GCD of 297, 306, 76, 327

Given numbers are 100, 239, 76, 349
The greatest common divisor of numbers 100, 239, 76, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 239, 76, 349 is 1.

1. What is the GCD of 100, 239, 76, 349?

GCD of given numbers 100, 239, 76, 349 is 1

2. How to calculate the greatest common divisor of 100, 239, 76, 349?

We can find the highest common divisor of 100, 239, 76, 349 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 100, 239, 76, 349 i.e 1.

3. How can I use the GCD of 100, 239, 76, 349Calculator?

Out the numbers 100, 239, 76, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.