GCD of 242, 100, 429, 851 Calculator

Given Input numbers are 242, 100, 429, 851

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

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

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 429 :

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

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

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

GCD of numbers is the greatest common divisor

So, the GCD (242, 100, 429, 851) = 1.

Given numbers are 242, 100, 429, 851

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

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

Prime factors of 429 are 3 x 11 x 13

Prime factors of 851 are 23 x 37

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

Given numbers are 242, 100, 429, 851

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

Apply this formula for all numbers.

Step1:

LCM(242, 100) = 12100

GCD(242, 100) = ( 242 x 100 ) / 12100

= 242 / 100

= 242

Step2:

LCM(2, 429) = 858

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

= 2 / 429

= 2

Step3:

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

= 1 / 851

= 1

So, Greatest Common Divisor of 242, 100, 429, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 981, 762, 845
• GCD of 464, 120, 657, 837
• GCD of 109, 387, 893, 701
• GCD of 617, 330, 553, 142
• GCD of 444, 517, 479, 624

Given numbers are 242, 100, 429, 851
The greatest common divisor of numbers 242, 100, 429, 851 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 100, 429, 851 is 1.

1. What is the GCD of 242, 100, 429, 851?

GCD of given numbers 242, 100, 429, 851 is 1

2. How to calculate the greatest common divisor of 242, 100, 429, 851?

We can find the highest common divisor of 242, 100, 429, 851 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 242, 100, 429, 851 i.e 1.

3. How can I use the GCD of 242, 100, 429, 851Calculator?

Out the numbers 242, 100, 429, 851 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.