GCD of 350, 260, 78, 988 Calculator

Given Input numbers are 350, 260, 78, 988

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 350, 260, 78, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 260, 78, 988 is 2.

Therefore, GCD of numbers 350, 260, 78, 988 is 2

Given Input Data is 350, 260, 78, 988

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 988 is 2 x 2 x 13 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(350, 260) = 9100

GCD(350, 260) = ( 350 x 260 ) / 9100

GCD(350, 260) = 91000 / 9100

GCD(350, 260) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 78

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

LCM(10, 78) = 390

GCD(10, 78) = ( 10 x 78 ) / 390

GCD(10, 78) = 780 / 390

GCD(10, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 988

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

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

GCD(2, 988) = 1976 / 988

GCD(2, 988) = 2

GCD of 350, 260, 78, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 295, 89, 401
• GCD of 138, 915, 99, 802
• GCD of 188, 511, 57, 473
• GCD of 410, 622, 71, 257
• GCD of 312, 337, 64, 993

1. What is the GCD of 350, 260, 78, 988?

GCD of 350, 260, 78, 988 is 2

2. Where do I get the detailed procedure to find GCD of 350, 260, 78, 988?

You can find a detailed procedure to find GCD of 350, 260, 78, 988 on our page.

3. How to find GCD of 350, 260, 78, 988 on a calculator?

You can find the GCD of 350, 260, 78, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.