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, 937, 112, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 937, 112, 707 is 1
GCD(763, 937, 112, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 937, 112, 707 is 1
GCD(763, 937, 112, 707) = 1
Given Input numbers are 763, 937, 112, 707
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 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 763, 937, 112, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 937, 112, 707 is 1.
Therefore, GCD of numbers 763, 937, 112, 707 is 1
Given Input Data is 763, 937, 112, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 937 is 937
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 707 is 7 x 101
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, 937) = 714931
GCD(763, 937) = ( 763 x 937 ) / 714931
GCD(763, 937) = 714931 / 714931
GCD(763, 937) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 763, 937, 112, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 937, 112, 707?
GCD of 763, 937, 112, 707 is 1
2. Where do I get the detailed procedure to find GCD of 763, 937, 112, 707?
You can find a detailed procedure to find GCD of 763, 937, 112, 707 on our page.
3. How to find GCD of 763, 937, 112, 707 on a calculator?
You can find the GCD of 763, 937, 112, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.