GCD of 978, 360, 723, 848 Calculator

Given Input numbers are 978, 360, 723, 848

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (978, 360, 723, 848) = 1.

Given numbers are 978, 360, 723, 848

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 723 are 3 x 241

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

Given numbers are 978, 360, 723, 848

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

Apply this formula for all numbers.

Step1:

LCM(978, 360) = 58680

GCD(978, 360) = ( 978 x 360 ) / 58680

= 978 / 360

= 978

Step2:

LCM(6, 723) = 1446

GCD(6, 723) = ( 6 x 723 ) / 1446

= 6 / 723

= 6

Step3:

LCM(3, 848) = 2544

GCD(3, 848) = ( 3 x 848 ) / 2544

= 3 / 848

= 3

So, Greatest Common Divisor of 978, 360, 723, 848 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 611, 102, 771
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Given numbers are 978, 360, 723, 848
The greatest common divisor of numbers 978, 360, 723, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 360, 723, 848 is 1.

1. What is the GCD of 978, 360, 723, 848?

GCD of given numbers 978, 360, 723, 848 is 1

2. How to calculate the greatest common divisor of 978, 360, 723, 848?

We can find the highest common divisor of 978, 360, 723, 848 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, 360, 723, 848 i.e 1.

3. How can I use the GCD of 978, 360, 723, 848Calculator?

Out the numbers 978, 360, 723, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.