GCD of 135, 327, 963, 942 Calculator

Given Input numbers are 135, 327, 963, 942

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

GCD of numbers is the greatest common divisor

So, the GCD (135, 327, 963, 942) = 3.

Given numbers are 135, 327, 963, 942

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 327 are 3 x 109

Prime factors of 963 are 3 x 3 x 107

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 135, 327, 963, 942 is 3.

Given numbers are 135, 327, 963, 942

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

Apply this formula for all numbers.

Step1:

LCM(135, 327) = 14715

GCD(135, 327) = ( 135 x 327 ) / 14715

= 135 / 327

= 135

Step2:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

Step3:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

So, Greatest Common Divisor of 135, 327, 963, 942 is 3

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• GCD of 862, 458, 633, 116
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Given numbers are 135, 327, 963, 942
The greatest common divisor of numbers 135, 327, 963, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 327, 963, 942 is 3.

1. What is the GCD of 135, 327, 963, 942?

GCD of given numbers 135, 327, 963, 942 is 3

2. How to calculate the greatest common divisor of 135, 327, 963, 942?

We can find the highest common divisor of 135, 327, 963, 942 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 135, 327, 963, 942 i.e 3.

3. How can I use the GCD of 135, 327, 963, 942Calculator?

Out the numbers 135, 327, 963, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.