GCD of 680, 978, 948 Calculator

Given Input numbers are 680, 978, 948

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 978 :

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

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (680, 978, 948) = 2.

Given numbers are 680, 978, 948

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 978 are 2 x 3 x 163

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 680, 978, 948 is 2.

Given numbers are 680, 978, 948

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

Apply this formula for all numbers.

Step1:

LCM(680, 978) = 332520

GCD(680, 978) = ( 680 x 978 ) / 332520

= 680 / 978

= 680

Step2:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

So, Greatest Common Divisor of 680, 978, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 933, 142
• GCD of 461, 128, 209
• GCD of 160, 667, 820
• GCD of 630, 537, 410
• GCD of 105, 131, 542

Given numbers are 680, 978, 948
The greatest common divisor of numbers 680, 978, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 978, 948 is 2.

1. What is the GCD of 680, 978, 948?

GCD of given numbers 680, 978, 948 is 2

2. How to calculate the greatest common divisor of 680, 978, 948?

We can find the highest common divisor of 680, 978, 948 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 680, 978, 948 i.e 2.

3. How can I use the GCD of 680, 978, 948Calculator?

Out the numbers 680, 978, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.