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 892, 695, 47, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 892, 695, 47, 707 is 1
GCD(892, 695, 47, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 892, 695, 47, 707 is 1
GCD(892, 695, 47, 707) = 1
Given Input numbers are 892, 695, 47, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
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 892, 695, 47, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 695, 47, 707 is 1.
Therefore, GCD of numbers 892, 695, 47, 707 is 1
Given Input Data is 892, 695, 47, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 695 is 5 x 139
Prime Factorization of 47 is 47
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(892, 695) = 619940
GCD(892, 695) = ( 892 x 695 ) / 619940
GCD(892, 695) = 619940 / 619940
GCD(892, 695) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 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 892, 695, 47, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 892, 695, 47, 707?
GCD of 892, 695, 47, 707 is 1
2. Where do I get the detailed procedure to find GCD of 892, 695, 47, 707?
You can find a detailed procedure to find GCD of 892, 695, 47, 707 on our page.
3. How to find GCD of 892, 695, 47, 707 on a calculator?
You can find the GCD of 892, 695, 47, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.