GCD of 100, 368, 676, 102 Calculator

Given Input numbers are 100, 368, 676, 102

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (100, 368, 676, 102) = 2.

Given numbers are 100, 368, 676, 102

The list of prime factors of all numbers are

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 100, 368, 676, 102 is 2.

Given numbers are 100, 368, 676, 102

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

Apply this formula for all numbers.

Step1:

LCM(100, 368) = 9200

GCD(100, 368) = ( 100 x 368 ) / 9200

= 100 / 368

= 100

Step2:

LCM(4, 676) = 676

GCD(4, 676) = ( 4 x 676 ) / 676

= 4 / 676

= 4

Step3:

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

= 4 / 102

= 4

So, Greatest Common Divisor of 100, 368, 676, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 104, 261, 517
• GCD of 490, 406, 803, 293
• GCD of 981, 240, 487, 660
• GCD of 324, 524, 672, 958
• GCD of 455, 711, 751, 224

Given numbers are 100, 368, 676, 102
The greatest common divisor of numbers 100, 368, 676, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 368, 676, 102 is 2.

1. What is the GCD of 100, 368, 676, 102?

GCD of given numbers 100, 368, 676, 102 is 2

2. How to calculate the greatest common divisor of 100, 368, 676, 102?

We can find the highest common divisor of 100, 368, 676, 102 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, 368, 676, 102 i.e 2.

3. How can I use the GCD of 100, 368, 676, 102Calculator?

Out the numbers 100, 368, 676, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.