GCD of 297, 132, 978, 354 Calculator

Given Input numbers are 297, 132, 978, 354

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (297, 132, 978, 354) = 3.

Given numbers are 297, 132, 978, 354

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 978 are 2 x 3 x 163

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 297, 132, 978, 354 is 3.

Given numbers are 297, 132, 978, 354

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

Apply this formula for all numbers.

Step1:

LCM(297, 132) = 1188

GCD(297, 132) = ( 297 x 132 ) / 1188

= 297 / 132

= 297

Step2:

LCM(33, 978) = 10758

GCD(33, 978) = ( 33 x 978 ) / 10758

= 33 / 978

= 33

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 297, 132, 978, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 115, 649, 710
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Given numbers are 297, 132, 978, 354
The greatest common divisor of numbers 297, 132, 978, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 132, 978, 354 is 3.

1. What is the GCD of 297, 132, 978, 354?

GCD of given numbers 297, 132, 978, 354 is 3

2. How to calculate the greatest common divisor of 297, 132, 978, 354?

We can find the highest common divisor of 297, 132, 978, 354 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 297, 132, 978, 354 i.e 3.

3. How can I use the GCD of 297, 132, 978, 354Calculator?

Out the numbers 297, 132, 978, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.