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 763, 654, 70, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 654, 70, 767 is 1
GCD(763, 654, 70, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 654, 70, 767 is 1
GCD(763, 654, 70, 767) = 1
Given Input numbers are 763, 654, 70, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 763, 654, 70, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 654, 70, 767 is 1.
Therefore, GCD of numbers 763, 654, 70, 767 is 1
Given Input Data is 763, 654, 70, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 767 is 13 x 59
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(763, 654) = 4578
GCD(763, 654) = ( 763 x 654 ) / 4578
GCD(763, 654) = 499002 / 4578
GCD(763, 654) = 109
Step2:
Here we consider the GCD from the above i.e. 109 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(109, 70) = 7630
GCD(109, 70) = ( 109 x 70 ) / 7630
GCD(109, 70) = 7630 / 7630
GCD(109, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 763, 654, 70, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 654, 70, 767?
GCD of 763, 654, 70, 767 is 1
2. Where do I get the detailed procedure to find GCD of 763, 654, 70, 767?
You can find a detailed procedure to find GCD of 763, 654, 70, 767 on our page.
3. How to find GCD of 763, 654, 70, 767 on a calculator?
You can find the GCD of 763, 654, 70, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.