GCD of 978, 708, 760, 796 Calculator

Given Input numbers are 978, 708, 760, 796

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (978, 708, 760, 796) = 2.

Given numbers are 978, 708, 760, 796

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 978, 708, 760, 796 is 2.

Given numbers are 978, 708, 760, 796

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

Apply this formula for all numbers.

Step1:

LCM(978, 708) = 115404

GCD(978, 708) = ( 978 x 708 ) / 115404

= 978 / 708

= 978

Step2:

LCM(6, 760) = 2280

GCD(6, 760) = ( 6 x 760 ) / 2280

= 6 / 760

= 6

Step3:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2

So, Greatest Common Divisor of 978, 708, 760, 796 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 488, 591, 829
• GCD of 833, 989, 321, 274
• GCD of 960, 182, 763, 985
• GCD of 910, 543, 420, 851
• GCD of 567, 434, 848, 209

Given numbers are 978, 708, 760, 796
The greatest common divisor of numbers 978, 708, 760, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 708, 760, 796 is 2.

1. What is the GCD of 978, 708, 760, 796?

GCD of given numbers 978, 708, 760, 796 is 2

2. How to calculate the greatest common divisor of 978, 708, 760, 796?

We can find the highest common divisor of 978, 708, 760, 796 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, 708, 760, 796 i.e 2.

3. How can I use the GCD of 978, 708, 760, 796Calculator?

Out the numbers 978, 708, 760, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.