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 107, 734, 62, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 107, 734, 62, 675 is 1
GCD(107, 734, 62, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 107, 734, 62, 675 is 1
GCD(107, 734, 62, 675) = 1
Given Input numbers are 107, 734, 62, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
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
Greatest Common Divisior
We found the divisors of 107, 734, 62, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 734, 62, 675 is 1.
Therefore, GCD of numbers 107, 734, 62, 675 is 1
Given Input Data is 107, 734, 62, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 107 is 107
Prime Factorization of 734 is 2 x 367
Prime Factorization of 62 is 2 x 31
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(107, 734) = 78538
GCD(107, 734) = ( 107 x 734 ) / 78538
GCD(107, 734) = 78538 / 78538
GCD(107, 734) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 62) = 62
GCD(1, 62) = ( 1 x 62 ) / 62
GCD(1, 62) = 62 / 62
GCD(1, 62) = 1
Step3:
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
GCD of 107, 734, 62, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 107, 734, 62, 675?
GCD of 107, 734, 62, 675 is 1
2. Where do I get the detailed procedure to find GCD of 107, 734, 62, 675?
You can find a detailed procedure to find GCD of 107, 734, 62, 675 on our page.
3. How to find GCD of 107, 734, 62, 675 on a calculator?
You can find the GCD of 107, 734, 62, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.