GCD of 291, 135, 402 Calculator

Given Input numbers are 291, 135, 402

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 135 :

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

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (291, 135, 402) = 3.

Given numbers are 291, 135, 402

The list of prime factors of all numbers are

Prime factors of 291 are 3 x 97

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

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 291, 135, 402 is 3.

Given numbers are 291, 135, 402

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

Apply this formula for all numbers.

Step1:

LCM(291, 135) = 13095

GCD(291, 135) = ( 291 x 135 ) / 13095

= 291 / 135

= 291

Step2:

LCM(3, 402) = 402

GCD(3, 402) = ( 3 x 402 ) / 402

= 3 / 402

= 3

So, Greatest Common Divisor of 291, 135, 402 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 467, 527
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Given numbers are 291, 135, 402
The greatest common divisor of numbers 291, 135, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 291, 135, 402 is 3.

1. What is the GCD of 291, 135, 402?

GCD of given numbers 291, 135, 402 is 3

2. How to calculate the greatest common divisor of 291, 135, 402?

We can find the highest common divisor of 291, 135, 402 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 291, 135, 402 i.e 3.

3. How can I use the GCD of 291, 135, 402Calculator?

Out the numbers 291, 135, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.