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 739, 655, 69, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 739, 655, 69, 980 is 1
GCD(739, 655, 69, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 739, 655, 69, 980 is 1
GCD(739, 655, 69, 980) = 1
Given Input numbers are 739, 655, 69, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 739, 655, 69, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 655, 69, 980 is 1.
Therefore, GCD of numbers 739, 655, 69, 980 is 1
Given Input Data is 739, 655, 69, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 739 is 739
Prime Factorization of 655 is 5 x 131
Prime Factorization of 69 is 3 x 23
Prime Factorization of 980 is 2 x 2 x 5 x 7 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(739, 655) = 484045
GCD(739, 655) = ( 739 x 655 ) / 484045
GCD(739, 655) = 484045 / 484045
GCD(739, 655) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 739, 655, 69, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 739, 655, 69, 980?
GCD of 739, 655, 69, 980 is 1
2. Where do I get the detailed procedure to find GCD of 739, 655, 69, 980?
You can find a detailed procedure to find GCD of 739, 655, 69, 980 on our page.
3. How to find GCD of 739, 655, 69, 980 on a calculator?
You can find the GCD of 739, 655, 69, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.