GCD of 780, 978, 378, 879 Calculator

Given Input numbers are 780, 978, 378, 879

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 978 :

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

GCD of numbers is the greatest common divisor

So, the GCD (780, 978, 378, 879) = 3.

Given numbers are 780, 978, 378, 879

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 879 are 3 x 293

The highest common occurrence is 3¹

Therefore, GCD of 780, 978, 378, 879 is 3.

Given numbers are 780, 978, 378, 879

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

Apply this formula for all numbers.

Step1:

LCM(780, 978) = 127140

GCD(780, 978) = ( 780 x 978 ) / 127140

= 780 / 978

= 780

Step2:

LCM(6, 378) = 378

GCD(6, 378) = ( 6 x 378 ) / 378

= 6 / 378

= 6

Step3:

LCM(6, 879) = 1758

GCD(6, 879) = ( 6 x 879 ) / 1758

= 6 / 879

= 6

So, Greatest Common Divisor of 780, 978, 378, 879 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 648, 179, 145
• GCD of 640, 109, 559, 126
• GCD of 101, 979, 538, 469
• GCD of 842, 466, 257, 895
• GCD of 877, 131, 918, 872

Given numbers are 780, 978, 378, 879
The greatest common divisor of numbers 780, 978, 378, 879 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 978, 378, 879 is 3.

1. What is the GCD of 780, 978, 378, 879?

GCD of given numbers 780, 978, 378, 879 is 3

2. How to calculate the greatest common divisor of 780, 978, 378, 879?

We can find the highest common divisor of 780, 978, 378, 879 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 780, 978, 378, 879 i.e 3.

3. How can I use the GCD of 780, 978, 378, 879Calculator?

Out the numbers 780, 978, 378, 879 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.