GCD of 708, 858, 390, 978 Calculator

Given Input numbers are 708, 858, 390, 978

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

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 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 978 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (708, 858, 390, 978) = 6.

Given numbers are 708, 858, 390, 978

The list of prime factors of all numbers are

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

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 708, 858, 390, 978 is 6.

Given numbers are 708, 858, 390, 978

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

Apply this formula for all numbers.

Step1:

LCM(708, 858) = 101244

GCD(708, 858) = ( 708 x 858 ) / 101244

= 708 / 858

= 708

Step2:

LCM(6, 390) = 390

GCD(6, 390) = ( 6 x 390 ) / 390

= 6 / 390

= 6

Step3:

LCM(6, 978) = 978

GCD(6, 978) = ( 6 x 978 ) / 978

= 6 / 978

= 6

So, Greatest Common Divisor of 708, 858, 390, 978 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 790, 980, 546
• GCD of 215, 145, 405, 735
• GCD of 698, 647, 320, 765
• GCD of 651, 488, 929, 144
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Given numbers are 708, 858, 390, 978
The greatest common divisor of numbers 708, 858, 390, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 858, 390, 978 is 6.

1. What is the GCD of 708, 858, 390, 978?

GCD of given numbers 708, 858, 390, 978 is 6

2. How to calculate the greatest common divisor of 708, 858, 390, 978?

We can find the highest common divisor of 708, 858, 390, 978 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 708, 858, 390, 978 i.e 6.

3. How can I use the GCD of 708, 858, 390, 978Calculator?

Out the numbers 708, 858, 390, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.