GCD of 100, 420, 472, 921 Calculator

Given Input numbers are 100, 420, 472, 921

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 472 :

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

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

Divisors of 921 :

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

1, 3, 307, 921

GCD of numbers is the greatest common divisor

So, the GCD (100, 420, 472, 921) = 1.

Given numbers are 100, 420, 472, 921

The list of prime factors of all numbers are

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 921 are 3 x 307

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

Given numbers are 100, 420, 472, 921

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

Apply this formula for all numbers.

Step1:

LCM(100, 420) = 2100

GCD(100, 420) = ( 100 x 420 ) / 2100

= 100 / 420

= 100

Step2:

LCM(20, 472) = 2360

GCD(20, 472) = ( 20 x 472 ) / 2360

= 20 / 472

= 20

Step3:

LCM(4, 921) = 3684

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

= 4 / 921

= 4

So, Greatest Common Divisor of 100, 420, 472, 921 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 991, 843, 204
• GCD of 606, 411, 407, 534
• GCD of 188, 735, 520, 280
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• GCD of 169, 900, 313, 220

Given numbers are 100, 420, 472, 921
The greatest common divisor of numbers 100, 420, 472, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 420, 472, 921 is 1.

1. What is the GCD of 100, 420, 472, 921?

GCD of given numbers 100, 420, 472, 921 is 1

2. How to calculate the greatest common divisor of 100, 420, 472, 921?

We can find the highest common divisor of 100, 420, 472, 921 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, 420, 472, 921 i.e 1.

3. How can I use the GCD of 100, 420, 472, 921Calculator?

Out the numbers 100, 420, 472, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.