GCD of 252, 290, 82, 380 Calculator

Given Input numbers are 252, 290, 82, 380

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (252, 290, 82, 380) = 2.

Given numbers are 252, 290, 82, 380

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 290 are 2 x 5 x 29

Prime factors of 82 are 2 x 41

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 252, 290, 82, 380 is 2.

Given numbers are 252, 290, 82, 380

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

Apply this formula for all numbers.

Step1:

LCM(252, 290) = 36540

GCD(252, 290) = ( 252 x 290 ) / 36540

= 252 / 290

= 252

Step2:

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

= 2 / 82

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 252, 290, 82, 380 is 2

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Given numbers are 252, 290, 82, 380
The greatest common divisor of numbers 252, 290, 82, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 290, 82, 380 is 2.

1. What is the GCD of 252, 290, 82, 380?

GCD of given numbers 252, 290, 82, 380 is 2

2. How to calculate the greatest common divisor of 252, 290, 82, 380?

We can find the highest common divisor of 252, 290, 82, 380 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, 290, 82, 380 i.e 2.

3. How can I use the GCD of 252, 290, 82, 380Calculator?

Out the numbers 252, 290, 82, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.