GCD of 825, 100, 978, 270 Calculator

Given Input numbers are 825, 100, 978, 270

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 978 :

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

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

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 (825, 100, 978, 270) = 1.

Given numbers are 825, 100, 978, 270

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 978 are 2 x 3 x 163

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

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

Given numbers are 825, 100, 978, 270

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

Apply this formula for all numbers.

Step1:

LCM(825, 100) = 3300

GCD(825, 100) = ( 825 x 100 ) / 3300

= 825 / 100

= 825

Step2:

LCM(25, 978) = 24450

GCD(25, 978) = ( 25 x 978 ) / 24450

= 25 / 978

= 25

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 825, 100, 978, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 222, 651, 677
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• GCD of 951, 982, 833, 114
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• GCD of 854, 517, 946, 561

Given numbers are 825, 100, 978, 270
The greatest common divisor of numbers 825, 100, 978, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 100, 978, 270 is 1.

1. What is the GCD of 825, 100, 978, 270?

GCD of given numbers 825, 100, 978, 270 is 1

2. How to calculate the greatest common divisor of 825, 100, 978, 270?

We can find the highest common divisor of 825, 100, 978, 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 825, 100, 978, 270 i.e 1.

3. How can I use the GCD of 825, 100, 978, 270Calculator?

Out the numbers 825, 100, 978, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.