GCD of 826, 120, 978 Calculator

Given Input numbers are 826, 120, 978

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 (826, 120, 978) = 2.

Given numbers are 826, 120, 978

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 826, 120, 978 is 2.

Given numbers are 826, 120, 978

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

Apply this formula for all numbers.

Step1:

LCM(826, 120) = 49560

GCD(826, 120) = ( 826 x 120 ) / 49560

= 826 / 120

= 826

Step2:

LCM(2, 978) = 978

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

= 2 / 978

= 2

So, Greatest Common Divisor of 826, 120, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 502, 402
• GCD of 900, 217, 183
• GCD of 466, 137, 888
• GCD of 664, 890, 142
• GCD of 883, 415, 383

Given numbers are 826, 120, 978
The greatest common divisor of numbers 826, 120, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 120, 978 is 2.

1. What is the GCD of 826, 120, 978?

GCD of given numbers 826, 120, 978 is 2

2. How to calculate the greatest common divisor of 826, 120, 978?

We can find the highest common divisor of 826, 120, 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 826, 120, 978 i.e 2.

3. How can I use the GCD of 826, 120, 978Calculator?

Out the numbers 826, 120, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.