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 770, 625, 26, 497 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 625, 26, 497 is 1
GCD(770, 625, 26, 497) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 625, 26, 497 is 1
GCD(770, 625, 26, 497) = 1
Given Input numbers are 770, 625, 26, 497
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Greatest Common Divisior
We found the divisors of 770, 625, 26, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 625, 26, 497 is 1.
Therefore, GCD of numbers 770, 625, 26, 497 is 1
Given Input Data is 770, 625, 26, 497
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 26 is 2 x 13
Prime Factorization of 497 is 7 x 71
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(770, 625) = 96250
GCD(770, 625) = ( 770 x 625 ) / 96250
GCD(770, 625) = 481250 / 96250
GCD(770, 625) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 26) = 130
GCD(5, 26) = ( 5 x 26 ) / 130
GCD(5, 26) = 130 / 130
GCD(5, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 497
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 497) = 497
GCD(1, 497) = ( 1 x 497 ) / 497
GCD(1, 497) = 497 / 497
GCD(1, 497) = 1
GCD of 770, 625, 26, 497 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 625, 26, 497?
GCD of 770, 625, 26, 497 is 1
2. Where do I get the detailed procedure to find GCD of 770, 625, 26, 497?
You can find a detailed procedure to find GCD of 770, 625, 26, 497 on our page.
3. How to find GCD of 770, 625, 26, 497 on a calculator?
You can find the GCD of 770, 625, 26, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.