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 985, 748, 675, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 985, 748, 675, 624 is 1
GCD(985, 748, 675, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 985, 748, 675, 624 is 1
GCD(985, 748, 675, 624) = 1
Given Input numbers are 985, 748, 675, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 985, 748, 675, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 748, 675, 624 is 1.
Therefore, GCD of numbers 985, 748, 675, 624 is 1
Given Input Data is 985, 748, 675, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 985 is 5 x 197
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(985, 748) = 736780
GCD(985, 748) = ( 985 x 748 ) / 736780
GCD(985, 748) = 736780 / 736780
GCD(985, 748) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 985, 748, 675, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 985, 748, 675, 624?
GCD of 985, 748, 675, 624 is 1
2. Where do I get the detailed procedure to find GCD of 985, 748, 675, 624?
You can find a detailed procedure to find GCD of 985, 748, 675, 624 on our page.
3. How to find GCD of 985, 748, 675, 624 on a calculator?
You can find the GCD of 985, 748, 675, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.