GCD of 756, 342, 242, 182 Calculator

Given Input numbers are 756, 342, 242, 182

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (756, 342, 242, 182) = 2.

Given numbers are 756, 342, 242, 182

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 242 are 2 x 11 x 11

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 756, 342, 242, 182 is 2.

Given numbers are 756, 342, 242, 182

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

Apply this formula for all numbers.

Step1:

LCM(756, 342) = 14364

GCD(756, 342) = ( 756 x 342 ) / 14364

= 756 / 342

= 756

Step2:

LCM(18, 242) = 2178

GCD(18, 242) = ( 18 x 242 ) / 2178

= 18 / 242

= 18

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 756, 342, 242, 182 is 2

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• GCD of 848, 569, 817, 341
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Given numbers are 756, 342, 242, 182
The greatest common divisor of numbers 756, 342, 242, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 342, 242, 182 is 2.

1. What is the GCD of 756, 342, 242, 182?

GCD of given numbers 756, 342, 242, 182 is 2

2. How to calculate the greatest common divisor of 756, 342, 242, 182?

We can find the highest common divisor of 756, 342, 242, 182 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 756, 342, 242, 182 i.e 2.

3. How can I use the GCD of 756, 342, 242, 182Calculator?

Out the numbers 756, 342, 242, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.