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 370, 690, 951, 965 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 690, 951, 965 is 1
GCD(370, 690, 951, 965) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 690, 951, 965 is 1
GCD(370, 690, 951, 965) = 1
Given Input numbers are 370, 690, 951, 965
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Greatest Common Divisior
We found the divisors of 370, 690, 951, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 690, 951, 965 is 1.
Therefore, GCD of numbers 370, 690, 951, 965 is 1
Given Input Data is 370, 690, 951, 965
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 951 is 3 x 317
Prime Factorization of 965 is 5 x 193
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(370, 690) = 25530
GCD(370, 690) = ( 370 x 690 ) / 25530
GCD(370, 690) = 255300 / 25530
GCD(370, 690) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 951) = 9510
GCD(10, 951) = ( 10 x 951 ) / 9510
GCD(10, 951) = 9510 / 9510
GCD(10, 951) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 965
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 965) = 965
GCD(1, 965) = ( 1 x 965 ) / 965
GCD(1, 965) = 965 / 965
GCD(1, 965) = 1
GCD of 370, 690, 951, 965 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 690, 951, 965?
GCD of 370, 690, 951, 965 is 1
2. Where do I get the detailed procedure to find GCD of 370, 690, 951, 965?
You can find a detailed procedure to find GCD of 370, 690, 951, 965 on our page.
3. How to find GCD of 370, 690, 951, 965 on a calculator?
You can find the GCD of 370, 690, 951, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.