GCD of 180, 978, 876, 749 Calculator

Given Input numbers are 180, 978, 876, 749

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 978 :

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

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (180, 978, 876, 749) = 1.

Given numbers are 180, 978, 876, 749

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 978 are 2 x 3 x 163

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 749 are 7 x 107

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

Given numbers are 180, 978, 876, 749

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

Apply this formula for all numbers.

Step1:

LCM(180, 978) = 29340

GCD(180, 978) = ( 180 x 978 ) / 29340

= 180 / 978

= 180

Step2:

LCM(6, 876) = 876

GCD(6, 876) = ( 6 x 876 ) / 876

= 6 / 876

= 6

Step3:

LCM(6, 749) = 4494

GCD(6, 749) = ( 6 x 749 ) / 4494

= 6 / 749

= 6

So, Greatest Common Divisor of 180, 978, 876, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 817, 894, 138
• GCD of 237, 390, 880, 533
• GCD of 824, 670, 850, 100
• GCD of 582, 870, 782, 273
• GCD of 529, 168, 508, 441

Given numbers are 180, 978, 876, 749
The greatest common divisor of numbers 180, 978, 876, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 978, 876, 749 is 1.

1. What is the GCD of 180, 978, 876, 749?

GCD of given numbers 180, 978, 876, 749 is 1

2. How to calculate the greatest common divisor of 180, 978, 876, 749?

We can find the highest common divisor of 180, 978, 876, 749 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 180, 978, 876, 749 i.e 1.

3. How can I use the GCD of 180, 978, 876, 749Calculator?

Out the numbers 180, 978, 876, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.