GCD of 978, 820, 938 Calculator

Given Input numbers are 978, 820, 938

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (978, 820, 938) = 2.

Given numbers are 978, 820, 938

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 978, 820, 938 is 2.

Given numbers are 978, 820, 938

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

Apply this formula for all numbers.

Step1:

LCM(978, 820) = 400980

GCD(978, 820) = ( 978 x 820 ) / 400980

= 978 / 820

= 978

Step2:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 978, 820, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 999, 856
• GCD of 594, 377, 676
• GCD of 631, 663, 290
• GCD of 103, 661, 613
• GCD of 700, 891, 372

Given numbers are 978, 820, 938
The greatest common divisor of numbers 978, 820, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 820, 938 is 2.

1. What is the GCD of 978, 820, 938?

GCD of given numbers 978, 820, 938 is 2

2. How to calculate the greatest common divisor of 978, 820, 938?

We can find the highest common divisor of 978, 820, 938 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, 820, 938 i.e 2.

3. How can I use the GCD of 978, 820, 938Calculator?

Out the numbers 978, 820, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.