GCD of 91, 98, 77 Calculator

Given Input numbers are 91, 98, 77

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 91, 98, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 98, 77 is 7.

Therefore, GCD of numbers 91, 98, 77 is 7

Given Input Data is 91, 98, 77

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 77 is 7 x 11

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(91, 98) = 1274

GCD(91, 98) = ( 91 x 98 ) / 1274

GCD(91, 98) = 8918 / 1274

GCD(91, 98) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 77

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

LCM(7, 77) = 77

GCD(7, 77) = ( 7 x 77 ) / 77

GCD(7, 77) = 539 / 77

GCD(7, 77) = 7

GCD of 91, 98, 77 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 64, 12
• GCD of 41, 60, 71
• GCD of 58, 19, 27
• GCD of 38, 91, 88
• GCD of 64, 33, 31

1. What is the GCD of 91, 98, 77?

GCD of 91, 98, 77 is 7

2. Where do I get the detailed procedure to find GCD of 91, 98, 77?

You can find a detailed procedure to find GCD of 91, 98, 77 on our page.

3. How to find GCD of 91, 98, 77 on a calculator?

You can find the GCD of 91, 98, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.