GCD of 978, 429, 270 Calculator

Given Input numbers are 978, 429, 270

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

Divisors of 978 :

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

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (978, 429, 270) = 3.

Given numbers are 978, 429, 270

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 429 are 3 x 11 x 13

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 978, 429, 270 is 3.

Given numbers are 978, 429, 270

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

Apply this formula for all numbers.

Step1:

LCM(978, 429) = 139854

GCD(978, 429) = ( 978 x 429 ) / 139854

= 978 / 429

= 978

Step2:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 978, 429, 270 is 3

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• GCD of 689, 483, 995
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Given numbers are 978, 429, 270
The greatest common divisor of numbers 978, 429, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 429, 270 is 3.

1. What is the GCD of 978, 429, 270?

GCD of given numbers 978, 429, 270 is 3

2. How to calculate the greatest common divisor of 978, 429, 270?

We can find the highest common divisor of 978, 429, 270 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 978, 429, 270 i.e 3.

3. How can I use the GCD of 978, 429, 270Calculator?

Out the numbers 978, 429, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.