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, 970, 760, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 970, 760, 840 is 1
GCD(77, 970, 760, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 970, 760, 840 is 1
GCD(77, 970, 760, 840) = 1
Given Input numbers are 77, 970, 760, 840
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 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
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 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 77, 970, 760, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 970, 760, 840 is 1.
Therefore, GCD of numbers 77, 970, 760, 840 is 1
Given Input Data is 77, 970, 760, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 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(77, 970) = 74690
GCD(77, 970) = ( 77 x 970 ) / 74690
GCD(77, 970) = 74690 / 74690
GCD(77, 970) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 77, 970, 760, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 970, 760, 840?
GCD of 77, 970, 760, 840 is 1
2. Where do I get the detailed procedure to find GCD of 77, 970, 760, 840?
You can find a detailed procedure to find GCD of 77, 970, 760, 840 on our page.
3. How to find GCD of 77, 970, 760, 840 on a calculator?
You can find the GCD of 77, 970, 760, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.