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 350, 765, 35, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 765, 35, 952 is 1
GCD(350, 765, 35, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 765, 35, 952 is 1
GCD(350, 765, 35, 952) = 1
Given Input numbers are 350, 765, 35, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
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 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 350, 765, 35, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 765, 35, 952 is 1.
Therefore, GCD of numbers 350, 765, 35, 952 is 1
Given Input Data is 350, 765, 35, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 35 is 5 x 7
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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(350, 765) = 53550
GCD(350, 765) = ( 350 x 765 ) / 53550
GCD(350, 765) = 267750 / 53550
GCD(350, 765) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 35) = 35
GCD(5, 35) = ( 5 x 35 ) / 35
GCD(5, 35) = 175 / 35
GCD(5, 35) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 952) = 4760
GCD(5, 952) = ( 5 x 952 ) / 4760
GCD(5, 952) = 4760 / 4760
GCD(5, 952) = 1
GCD of 350, 765, 35, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 765, 35, 952?
GCD of 350, 765, 35, 952 is 1
2. Where do I get the detailed procedure to find GCD of 350, 765, 35, 952?
You can find a detailed procedure to find GCD of 350, 765, 35, 952 on our page.
3. How to find GCD of 350, 765, 35, 952 on a calculator?
You can find the GCD of 350, 765, 35, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.