GCD of 276, 136, 270, 242 Calculator

Given Input numbers are 276, 136, 270, 242

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 (276, 136, 270, 242) = 2.

Given numbers are 276, 136, 270, 242

The list of prime factors of all numbers are

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 276, 136, 270, 242 is 2.

Given numbers are 276, 136, 270, 242

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

Apply this formula for all numbers.

Step1:

LCM(276, 136) = 9384

GCD(276, 136) = ( 276 x 136 ) / 9384

= 276 / 136

= 276

Step2:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

Step3:

LCM(2, 242) = 242

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

= 2 / 242

= 2

So, Greatest Common Divisor of 276, 136, 270, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 774, 145, 814
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Given numbers are 276, 136, 270, 242
The greatest common divisor of numbers 276, 136, 270, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 136, 270, 242 is 2.

1. What is the GCD of 276, 136, 270, 242?

GCD of given numbers 276, 136, 270, 242 is 2

2. How to calculate the greatest common divisor of 276, 136, 270, 242?

We can find the highest common divisor of 276, 136, 270, 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 276, 136, 270, 242 i.e 2.

3. How can I use the GCD of 276, 136, 270, 242Calculator?

Out the numbers 276, 136, 270, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.