GCD of 100, 628, 202, 796 Calculator

Given Input numbers are 100, 628, 202, 796

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (100, 628, 202, 796) = 2.

Given numbers are 100, 628, 202, 796

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 202 are 2 x 101

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 100, 628, 202, 796 is 2.

Given numbers are 100, 628, 202, 796

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

Apply this formula for all numbers.

Step1:

LCM(100, 628) = 15700

GCD(100, 628) = ( 100 x 628 ) / 15700

= 100 / 628

= 100

Step2:

LCM(4, 202) = 404

GCD(4, 202) = ( 4 x 202 ) / 404

= 4 / 202

= 4

Step3:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2

So, Greatest Common Divisor of 100, 628, 202, 796 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 375, 225, 677
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• GCD of 562, 965, 575, 607
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• GCD of 722, 527, 340, 639

Given numbers are 100, 628, 202, 796
The greatest common divisor of numbers 100, 628, 202, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 628, 202, 796 is 2.

1. What is the GCD of 100, 628, 202, 796?

GCD of given numbers 100, 628, 202, 796 is 2

2. How to calculate the greatest common divisor of 100, 628, 202, 796?

We can find the highest common divisor of 100, 628, 202, 796 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, 628, 202, 796 i.e 2.

3. How can I use the GCD of 100, 628, 202, 796Calculator?

Out the numbers 100, 628, 202, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.