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 87, 736, 908, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 736, 908, 707 is 1
GCD(87, 736, 908, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 736, 908, 707 is 1
GCD(87, 736, 908, 707) = 1
Given Input numbers are 87, 736, 908, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
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 87, 736, 908, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 736, 908, 707 is 1.
Therefore, GCD of numbers 87, 736, 908, 707 is 1
Given Input Data is 87, 736, 908, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 908 is 2 x 2 x 227
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(87, 736) = 64032
GCD(87, 736) = ( 87 x 736 ) / 64032
GCD(87, 736) = 64032 / 64032
GCD(87, 736) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 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 87, 736, 908, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 736, 908, 707?
GCD of 87, 736, 908, 707 is 1
2. Where do I get the detailed procedure to find GCD of 87, 736, 908, 707?
You can find a detailed procedure to find GCD of 87, 736, 908, 707 on our page.
3. How to find GCD of 87, 736, 908, 707 on a calculator?
You can find the GCD of 87, 736, 908, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.