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 921, 136, 478, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 921, 136, 478, 700 is 1
GCD(921, 136, 478, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 921, 136, 478, 700 is 1
GCD(921, 136, 478, 700) = 1
Given Input numbers are 921, 136, 478, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
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
Greatest Common Divisior
We found the divisors of 921, 136, 478, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 136, 478, 700 is 1.
Therefore, GCD of numbers 921, 136, 478, 700 is 1
Given Input Data is 921, 136, 478, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 921 is 3 x 307
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 478 is 2 x 239
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(921, 136) = 125256
GCD(921, 136) = ( 921 x 136 ) / 125256
GCD(921, 136) = 125256 / 125256
GCD(921, 136) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 478
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 478) = 478
GCD(1, 478) = ( 1 x 478 ) / 478
GCD(1, 478) = 478 / 478
GCD(1, 478) = 1
Step3:
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
GCD of 921, 136, 478, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 921, 136, 478, 700?
GCD of 921, 136, 478, 700 is 1
2. Where do I get the detailed procedure to find GCD of 921, 136, 478, 700?
You can find a detailed procedure to find GCD of 921, 136, 478, 700 on our page.
3. How to find GCD of 921, 136, 478, 700 on a calculator?
You can find the GCD of 921, 136, 478, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.