GCD of 100, 462, 212, 429 Calculator

Given Input numbers are 100, 462, 212, 429

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (100, 462, 212, 429) = 1.

Given numbers are 100, 462, 212, 429

The list of prime factors of all numbers are

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

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 212 are 2 x 2 x 53

Prime factors of 429 are 3 x 11 x 13

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

Given numbers are 100, 462, 212, 429

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

Apply this formula for all numbers.

Step1:

LCM(100, 462) = 23100

GCD(100, 462) = ( 100 x 462 ) / 23100

= 100 / 462

= 100

Step2:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

Step3:

LCM(2, 429) = 858

GCD(2, 429) = ( 2 x 429 ) / 858

= 2 / 429

= 2

So, Greatest Common Divisor of 100, 462, 212, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 263, 496, 390
• GCD of 735, 474, 804, 991
• GCD of 161, 586, 828, 291
• GCD of 251, 288, 320, 739
• GCD of 324, 183, 981, 410

Given numbers are 100, 462, 212, 429
The greatest common divisor of numbers 100, 462, 212, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 462, 212, 429 is 1.

1. What is the GCD of 100, 462, 212, 429?

GCD of given numbers 100, 462, 212, 429 is 1

2. How to calculate the greatest common divisor of 100, 462, 212, 429?

We can find the highest common divisor of 100, 462, 212, 429 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, 462, 212, 429 i.e 1.

3. How can I use the GCD of 100, 462, 212, 429Calculator?

Out the numbers 100, 462, 212, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.