GCD of 234, 542, 120, 315 Calculator

Given Input numbers are 234, 542, 120, 315

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (234, 542, 120, 315) = 1.

Given numbers are 234, 542, 120, 315

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 542 are 2 x 271

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

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 234, 542, 120, 315

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

Apply this formula for all numbers.

Step1:

LCM(234, 542) = 63414

GCD(234, 542) = ( 234 x 542 ) / 63414

= 234 / 542

= 234

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

So, Greatest Common Divisor of 234, 542, 120, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 201, 825, 397
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Given numbers are 234, 542, 120, 315
The greatest common divisor of numbers 234, 542, 120, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 542, 120, 315 is 1.

1. What is the GCD of 234, 542, 120, 315?

GCD of given numbers 234, 542, 120, 315 is 1

2. How to calculate the greatest common divisor of 234, 542, 120, 315?

We can find the highest common divisor of 234, 542, 120, 315 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 234, 542, 120, 315 i.e 1.

3. How can I use the GCD of 234, 542, 120, 315Calculator?

Out the numbers 234, 542, 120, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.