GCD of 120, 718, 242, 252 Calculator

Given Input numbers are 120, 718, 242, 252

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (120, 718, 242, 252) = 2.

Given numbers are 120, 718, 242, 252

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 718 are 2 x 359

Prime factors of 242 are 2 x 11 x 11

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 120, 718, 242, 252 is 2.

Given numbers are 120, 718, 242, 252

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

Apply this formula for all numbers.

Step1:

LCM(120, 718) = 43080

GCD(120, 718) = ( 120 x 718 ) / 43080

= 120 / 718

= 120

Step2:

LCM(2, 242) = 242

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

= 2 / 242

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 120, 718, 242, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 626, 727, 373
• GCD of 481, 385, 397, 513
• GCD of 366, 795, 659, 355
• GCD of 539, 212, 235, 376
• GCD of 587, 904, 559, 317

Given numbers are 120, 718, 242, 252
The greatest common divisor of numbers 120, 718, 242, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 718, 242, 252 is 2.

1. What is the GCD of 120, 718, 242, 252?

GCD of given numbers 120, 718, 242, 252 is 2

2. How to calculate the greatest common divisor of 120, 718, 242, 252?

We can find the highest common divisor of 120, 718, 242, 252 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 120, 718, 242, 252 i.e 2.

3. How can I use the GCD of 120, 718, 242, 252Calculator?

Out the numbers 120, 718, 242, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.