GCD of 420, 118, 400, 242 Calculator

Given Input numbers are 420, 118, 400, 242

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (420, 118, 400, 242) = 2.

Given numbers are 420, 118, 400, 242

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 118 are 2 x 59

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 420, 118, 400, 242 is 2.

Given numbers are 420, 118, 400, 242

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

Apply this formula for all numbers.

Step1:

LCM(420, 118) = 24780

GCD(420, 118) = ( 420 x 118 ) / 24780

= 420 / 118

= 420

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 420, 118, 400, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 818, 395, 515
• GCD of 565, 658, 235, 800
• GCD of 732, 189, 930, 635
• GCD of 961, 597, 828, 206
• GCD of 491, 822, 318, 242

Given numbers are 420, 118, 400, 242
The greatest common divisor of numbers 420, 118, 400, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 118, 400, 242 is 2.

1. What is the GCD of 420, 118, 400, 242?

GCD of given numbers 420, 118, 400, 242 is 2

2. How to calculate the greatest common divisor of 420, 118, 400, 242?

We can find the highest common divisor of 420, 118, 400, 242 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, 118, 400, 242 i.e 2.

3. How can I use the GCD of 420, 118, 400, 242Calculator?

Out the numbers 420, 118, 400, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.