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 690, 802, 778, 121 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 802, 778, 121 is 1
GCD(690, 802, 778, 121) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 802, 778, 121 is 1
GCD(690, 802, 778, 121) = 1
Given Input numbers are 690, 802, 778, 121
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Greatest Common Divisior
We found the divisors of 690, 802, 778, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 802, 778, 121 is 1.
Therefore, GCD of numbers 690, 802, 778, 121 is 1
Given Input Data is 690, 802, 778, 121
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 802 is 2 x 401
Prime Factorization of 778 is 2 x 389
Prime Factorization of 121 is 11 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(690, 802) = 276690
GCD(690, 802) = ( 690 x 802 ) / 276690
GCD(690, 802) = 553380 / 276690
GCD(690, 802) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 778) = 778
GCD(2, 778) = ( 2 x 778 ) / 778
GCD(2, 778) = 1556 / 778
GCD(2, 778) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 121
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
GCD(2, 121) = 242 / 242
GCD(2, 121) = 1
GCD of 690, 802, 778, 121 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 802, 778, 121?
GCD of 690, 802, 778, 121 is 1
2. Where do I get the detailed procedure to find GCD of 690, 802, 778, 121?
You can find a detailed procedure to find GCD of 690, 802, 778, 121 on our page.
3. How to find GCD of 690, 802, 778, 121 on a calculator?
You can find the GCD of 690, 802, 778, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.