GCD of 100, 490, 36 Calculator

Given Input numbers are 100, 490, 36

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

GCD of numbers is the greatest common divisor

So, the GCD (100, 490, 36) = 2.

Given numbers are 100, 490, 36

The list of prime factors of all numbers are

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

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 36 are 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 100, 490, 36 is 2.

Given numbers are 100, 490, 36

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

Apply this formula for all numbers.

Step1:

LCM(100, 490) = 4900

GCD(100, 490) = ( 100 x 490 ) / 4900

= 100 / 490

= 100

Step2:

LCM(10, 36) = 180

GCD(10, 36) = ( 10 x 36 ) / 180

= 10 / 36

= 10

So, Greatest Common Divisor of 100, 490, 36 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 681, 96
• GCD of 226, 757, 37
• GCD of 192, 165, 16
• GCD of 711, 867, 55
• GCD of 172, 537, 93

Given numbers are 100, 490, 36
The greatest common divisor of numbers 100, 490, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 490, 36 is 2.

1. What is the GCD of 100, 490, 36?

GCD of given numbers 100, 490, 36 is 2

2. How to calculate the greatest common divisor of 100, 490, 36?

We can find the highest common divisor of 100, 490, 36 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, 490, 36 i.e 2.

3. How can I use the GCD of 100, 490, 36Calculator?

Out the numbers 100, 490, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.