GCD of 242, 231, 340, 120 Calculator

Given Input numbers are 242, 231, 340, 120

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

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

GCD of numbers is the greatest common divisor

So, the GCD (242, 231, 340, 120) = 1.

Given numbers are 242, 231, 340, 120

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 231 are 3 x 7 x 11

Prime factors of 340 are 2 x 2 x 5 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 242, 231, 340, 120

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

Apply this formula for all numbers.

Step1:

LCM(242, 231) = 5082

GCD(242, 231) = ( 242 x 231 ) / 5082

= 242 / 231

= 242

Step2:

LCM(11, 340) = 3740

GCD(11, 340) = ( 11 x 340 ) / 3740

= 11 / 340

= 11

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 242, 231, 340, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 697, 303, 467
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• GCD of 314, 280, 571, 245
• GCD of 796, 134, 539, 308
• GCD of 183, 558, 673, 561

Given numbers are 242, 231, 340, 120
The greatest common divisor of numbers 242, 231, 340, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 231, 340, 120 is 1.

1. What is the GCD of 242, 231, 340, 120?

GCD of given numbers 242, 231, 340, 120 is 1

2. How to calculate the greatest common divisor of 242, 231, 340, 120?

We can find the highest common divisor of 242, 231, 340, 120 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 242, 231, 340, 120 i.e 1.

3. How can I use the GCD of 242, 231, 340, 120Calculator?

Out the numbers 242, 231, 340, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.