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 969, 690, 55, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 690, 55, 240 is 1
GCD(969, 690, 55, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 690, 55, 240 is 1
GCD(969, 690, 55, 240) = 1
Given Input numbers are 969, 690, 55, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
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 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 969, 690, 55, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 690, 55, 240 is 1.
Therefore, GCD of numbers 969, 690, 55, 240 is 1
Given Input Data is 969, 690, 55, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 55 is 5 x 11
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(969, 690) = 222870
GCD(969, 690) = ( 969 x 690 ) / 222870
GCD(969, 690) = 668610 / 222870
GCD(969, 690) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 55) = 165
GCD(3, 55) = ( 3 x 55 ) / 165
GCD(3, 55) = 165 / 165
GCD(3, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 969, 690, 55, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 690, 55, 240?
GCD of 969, 690, 55, 240 is 1
2. Where do I get the detailed procedure to find GCD of 969, 690, 55, 240?
You can find a detailed procedure to find GCD of 969, 690, 55, 240 on our page.
3. How to find GCD of 969, 690, 55, 240 on a calculator?
You can find the GCD of 969, 690, 55, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.