Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 77, 936, 700, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 936, 700, 297 is 1
GCD(77, 936, 700, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 936, 700, 297 is 1
GCD(77, 936, 700, 297) = 1
Given Input numbers are 77, 936, 700, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 77, 936, 700, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 936, 700, 297 is 1.
Therefore, GCD of numbers 77, 936, 700, 297 is 1
Given Input Data is 77, 936, 700, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 297 is 3 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
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(77, 936) = 72072
GCD(77, 936) = ( 77 x 936 ) / 72072
GCD(77, 936) = 72072 / 72072
GCD(77, 936) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 77, 936, 700, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 936, 700, 297?
GCD of 77, 936, 700, 297 is 1
2. Where do I get the detailed procedure to find GCD of 77, 936, 700, 297?
You can find a detailed procedure to find GCD of 77, 936, 700, 297 on our page.
3. How to find GCD of 77, 936, 700, 297 on a calculator?
You can find the GCD of 77, 936, 700, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.