GCD of 360, 778, 978, 464 Calculator

Given Input numbers are 360, 778, 978, 464

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

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 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 978 :

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

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (360, 778, 978, 464) = 2.

Given numbers are 360, 778, 978, 464

The list of prime factors of all numbers are

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

Prime factors of 778 are 2 x 389

Prime factors of 978 are 2 x 3 x 163

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 360, 778, 978, 464 is 2.

Given numbers are 360, 778, 978, 464

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

Apply this formula for all numbers.

Step1:

LCM(360, 778) = 140040

GCD(360, 778) = ( 360 x 778 ) / 140040

= 360 / 778

= 360

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 360, 778, 978, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 506, 490, 439
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• GCD of 864, 243, 701, 981
• GCD of 866, 205, 527, 446

Given numbers are 360, 778, 978, 464
The greatest common divisor of numbers 360, 778, 978, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 778, 978, 464 is 2.

1. What is the GCD of 360, 778, 978, 464?

GCD of given numbers 360, 778, 978, 464 is 2

2. How to calculate the greatest common divisor of 360, 778, 978, 464?

We can find the highest common divisor of 360, 778, 978, 464 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 360, 778, 978, 464 i.e 2.

3. How can I use the GCD of 360, 778, 978, 464Calculator?

Out the numbers 360, 778, 978, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.