GCD of 252, 120, 843 Calculator

Given Input numbers are 252, 120, 843

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

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

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 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

GCD of numbers is the greatest common divisor

So, the GCD (252, 120, 843) = 3.

Given numbers are 252, 120, 843

The list of prime factors of all numbers are

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

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

Prime factors of 843 are 3 x 281

The highest common occurrence is 3¹

Therefore, GCD of 252, 120, 843 is 3.

Given numbers are 252, 120, 843

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

Apply this formula for all numbers.

Step1:

LCM(252, 120) = 2520

GCD(252, 120) = ( 252 x 120 ) / 2520

= 252 / 120

= 252

Step2:

LCM(12, 843) = 3372

GCD(12, 843) = ( 12 x 843 ) / 3372

= 12 / 843

= 12

So, Greatest Common Divisor of 252, 120, 843 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 814, 185
• GCD of 734, 973, 912
• GCD of 564, 911, 517
• GCD of 726, 633, 209
• GCD of 149, 403, 902

Given numbers are 252, 120, 843
The greatest common divisor of numbers 252, 120, 843 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 120, 843 is 3.

1. What is the GCD of 252, 120, 843?

GCD of given numbers 252, 120, 843 is 3

2. How to calculate the greatest common divisor of 252, 120, 843?

We can find the highest common divisor of 252, 120, 843 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 252, 120, 843 i.e 3.

3. How can I use the GCD of 252, 120, 843Calculator?

Out the numbers 252, 120, 843 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.