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 760, 770, 60, 857 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 770, 60, 857 is 1
GCD(760, 770, 60, 857) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 770, 60, 857 is 1
GCD(760, 770, 60, 857) = 1
Given Input numbers are 760, 770, 60, 857
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
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 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Greatest Common Divisior
We found the divisors of 760, 770, 60, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 770, 60, 857 is 1.
Therefore, GCD of numbers 760, 770, 60, 857 is 1
Given Input Data is 760, 770, 60, 857
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 857 is 857
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(760, 770) = 58520
GCD(760, 770) = ( 760 x 770 ) / 58520
GCD(760, 770) = 585200 / 58520
GCD(760, 770) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 60) = 60
GCD(10, 60) = ( 10 x 60 ) / 60
GCD(10, 60) = 600 / 60
GCD(10, 60) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 857
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 857) = 8570
GCD(10, 857) = ( 10 x 857 ) / 8570
GCD(10, 857) = 8570 / 8570
GCD(10, 857) = 1
GCD of 760, 770, 60, 857 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 770, 60, 857?
GCD of 760, 770, 60, 857 is 1
2. Where do I get the detailed procedure to find GCD of 760, 770, 60, 857?
You can find a detailed procedure to find GCD of 760, 770, 60, 857 on our page.
3. How to find GCD of 760, 770, 60, 857 on a calculator?
You can find the GCD of 760, 770, 60, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.