GCD of 242, 420, 179, 829 Calculator

Given Input numbers are 242, 420, 179, 829

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 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 179 :

The positive integer divisors of 179 that completely divides 179 are.

1, 179

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

GCD of numbers is the greatest common divisor

So, the GCD (242, 420, 179, 829) = 1.

Given numbers are 242, 420, 179, 829

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

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

Prime factors of 179 are 179

Prime factors of 829 are 829

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

Given numbers are 242, 420, 179, 829

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

Apply this formula for all numbers.

Step1:

LCM(242, 420) = 50820

GCD(242, 420) = ( 242 x 420 ) / 50820

= 242 / 420

= 242

Step2:

LCM(2, 179) = 358

GCD(2, 179) = ( 2 x 179 ) / 358

= 2 / 179

= 2

Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

So, Greatest Common Divisor of 242, 420, 179, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 254, 722, 609
• GCD of 127, 628, 964, 433
• GCD of 926, 377, 376, 914
• GCD of 230, 257, 110, 778
• GCD of 366, 865, 708, 574

Given numbers are 242, 420, 179, 829
The greatest common divisor of numbers 242, 420, 179, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 420, 179, 829 is 1.

1. What is the GCD of 242, 420, 179, 829?

GCD of given numbers 242, 420, 179, 829 is 1

2. How to calculate the greatest common divisor of 242, 420, 179, 829?

We can find the highest common divisor of 242, 420, 179, 829 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, 420, 179, 829 i.e 1.

3. How can I use the GCD of 242, 420, 179, 829Calculator?

Out the numbers 242, 420, 179, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.