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 975, 736, 765, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 736, 765, 670 is 1
GCD(975, 736, 765, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 736, 765, 670 is 1
GCD(975, 736, 765, 670) = 1
Given Input numbers are 975, 736, 765, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
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 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 975, 736, 765, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 736, 765, 670 is 1.
Therefore, GCD of numbers 975, 736, 765, 670 is 1
Given Input Data is 975, 736, 765, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 670 is 2 x 5 x 67
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(975, 736) = 717600
GCD(975, 736) = ( 975 x 736 ) / 717600
GCD(975, 736) = 717600 / 717600
GCD(975, 736) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 975, 736, 765, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 736, 765, 670?
GCD of 975, 736, 765, 670 is 1
2. Where do I get the detailed procedure to find GCD of 975, 736, 765, 670?
You can find a detailed procedure to find GCD of 975, 736, 765, 670 on our page.
3. How to find GCD of 975, 736, 765, 670 on a calculator?
You can find the GCD of 975, 736, 765, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.