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 274, 700, 291, 693 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 700, 291, 693 is 1
GCD(274, 700, 291, 693) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 700, 291, 693 is 1
GCD(274, 700, 291, 693) = 1
Given Input numbers are 274, 700, 291, 693
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
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 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Greatest Common Divisior
We found the divisors of 274, 700, 291, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 700, 291, 693 is 1.
Therefore, GCD of numbers 274, 700, 291, 693 is 1
Given Input Data is 274, 700, 291, 693
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 291 is 3 x 97
Prime Factorization of 693 is 3 x 3 x 7 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(274, 700) = 95900
GCD(274, 700) = ( 274 x 700 ) / 95900
GCD(274, 700) = 191800 / 95900
GCD(274, 700) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 291) = 582
GCD(2, 291) = ( 2 x 291 ) / 582
GCD(2, 291) = 582 / 582
GCD(2, 291) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 693
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
GCD(1, 693) = 693 / 693
GCD(1, 693) = 1
GCD of 274, 700, 291, 693 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 700, 291, 693?
GCD of 274, 700, 291, 693 is 1
2. Where do I get the detailed procedure to find GCD of 274, 700, 291, 693?
You can find a detailed procedure to find GCD of 274, 700, 291, 693 on our page.
3. How to find GCD of 274, 700, 291, 693 on a calculator?
You can find the GCD of 274, 700, 291, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.