GCD of 472, 100, 921, 242 Calculator

Given Input numbers are 472, 100, 921, 242

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (472, 100, 921, 242) = 1.

Given numbers are 472, 100, 921, 242

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

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

Prime factors of 921 are 3 x 307

Prime factors of 242 are 2 x 11 x 11

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

Given numbers are 472, 100, 921, 242

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

Apply this formula for all numbers.

Step1:

LCM(472, 100) = 11800

GCD(472, 100) = ( 472 x 100 ) / 11800

= 472 / 100

= 472

Step2:

LCM(4, 921) = 3684

GCD(4, 921) = ( 4 x 921 ) / 3684

= 4 / 921

= 4

Step3:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1

So, Greatest Common Divisor of 472, 100, 921, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 787, 658, 246
• GCD of 265, 300, 993, 777
• GCD of 543, 183, 951, 582
• GCD of 492, 401, 767, 778
• GCD of 267, 554, 692, 454

Given numbers are 472, 100, 921, 242
The greatest common divisor of numbers 472, 100, 921, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 100, 921, 242 is 1.

1. What is the GCD of 472, 100, 921, 242?

GCD of given numbers 472, 100, 921, 242 is 1

2. How to calculate the greatest common divisor of 472, 100, 921, 242?

We can find the highest common divisor of 472, 100, 921, 242 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 472, 100, 921, 242 i.e 1.

3. How can I use the GCD of 472, 100, 921, 242Calculator?

Out the numbers 472, 100, 921, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.