GCD of 429, 480, 212, 100 Calculator

Given Input numbers are 429, 480, 212, 100

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

Divisors of 429 :

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

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 212 :

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

1, 2, 4, 53, 106, 212

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (429, 480, 212, 100) = 1.

Given numbers are 429, 480, 212, 100

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 212 are 2 x 2 x 53

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

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

Given numbers are 429, 480, 212, 100

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

Apply this formula for all numbers.

Step1:

LCM(429, 480) = 68640

GCD(429, 480) = ( 429 x 480 ) / 68640

= 429 / 480

= 429

Step2:

LCM(3, 212) = 636

GCD(3, 212) = ( 3 x 212 ) / 636

= 3 / 212

= 3

Step3:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

So, Greatest Common Divisor of 429, 480, 212, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 755, 216, 346
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Given numbers are 429, 480, 212, 100
The greatest common divisor of numbers 429, 480, 212, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 480, 212, 100 is 1.

1. What is the GCD of 429, 480, 212, 100?

GCD of given numbers 429, 480, 212, 100 is 1

2. How to calculate the greatest common divisor of 429, 480, 212, 100?

We can find the highest common divisor of 429, 480, 212, 100 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 429, 480, 212, 100 i.e 1.

3. How can I use the GCD of 429, 480, 212, 100Calculator?

Out the numbers 429, 480, 212, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.