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 77, 610, 277, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 610, 277, 742 is 1
GCD(77, 610, 277, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 610, 277, 742 is 1
GCD(77, 610, 277, 742) = 1
Given Input numbers are 77, 610, 277, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 77, 610, 277, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 610, 277, 742 is 1.
Therefore, GCD of numbers 77, 610, 277, 742 is 1
Given Input Data is 77, 610, 277, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 277 is 277
Prime Factorization of 742 is 2 x 7 x 53
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(77, 610) = 46970
GCD(77, 610) = ( 77 x 610 ) / 46970
GCD(77, 610) = 46970 / 46970
GCD(77, 610) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 77, 610, 277, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 610, 277, 742?
GCD of 77, 610, 277, 742 is 1
2. Where do I get the detailed procedure to find GCD of 77, 610, 277, 742?
You can find a detailed procedure to find GCD of 77, 610, 277, 742 on our page.
3. How to find GCD of 77, 610, 277, 742 on a calculator?
You can find the GCD of 77, 610, 277, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.