GCD of 420, 645, 100, 922 Calculator

Given Input numbers are 420, 645, 100, 922

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

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (420, 645, 100, 922) = 1.

Given numbers are 420, 645, 100, 922

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

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

Prime factors of 922 are 2 x 461

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

Given numbers are 420, 645, 100, 922

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

Apply this formula for all numbers.

Step1:

LCM(420, 645) = 18060

GCD(420, 645) = ( 420 x 645 ) / 18060

= 420 / 645

= 420

Step2:

LCM(15, 100) = 300

GCD(15, 100) = ( 15 x 100 ) / 300

= 15 / 100

= 15

Step3:

LCM(5, 922) = 4610

GCD(5, 922) = ( 5 x 922 ) / 4610

= 5 / 922

= 5

So, Greatest Common Divisor of 420, 645, 100, 922 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 196, 749, 249
• GCD of 255, 616, 355, 297
• GCD of 657, 771, 803, 264
• GCD of 782, 155, 759, 407
• GCD of 226, 508, 196, 912

Given numbers are 420, 645, 100, 922
The greatest common divisor of numbers 420, 645, 100, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 645, 100, 922 is 1.

1. What is the GCD of 420, 645, 100, 922?

GCD of given numbers 420, 645, 100, 922 is 1

2. How to calculate the greatest common divisor of 420, 645, 100, 922?

We can find the highest common divisor of 420, 645, 100, 922 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 420, 645, 100, 922 i.e 1.

3. How can I use the GCD of 420, 645, 100, 922Calculator?

Out the numbers 420, 645, 100, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.