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 375, 357, 66, 435 i.e. 3 largest integer that divides all the numbers equally.
GCD of 375, 357, 66, 435 is 3
GCD(375, 357, 66, 435) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 357, 66, 435 is 3
GCD(375, 357, 66, 435) = 3
Given Input numbers are 375, 357, 66, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 375, 357, 66, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 357, 66, 435 is 3.
Therefore, GCD of numbers 375, 357, 66, 435 is 3
Given Input Data is 375, 357, 66, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 435 is 3 x 5 x 29
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(375, 357) = 44625
GCD(375, 357) = ( 375 x 357 ) / 44625
GCD(375, 357) = 133875 / 44625
GCD(375, 357) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 435) = 435
GCD(3, 435) = ( 3 x 435 ) / 435
GCD(3, 435) = 1305 / 435
GCD(3, 435) = 3
GCD of 375, 357, 66, 435 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 357, 66, 435?
GCD of 375, 357, 66, 435 is 3
2. Where do I get the detailed procedure to find GCD of 375, 357, 66, 435?
You can find a detailed procedure to find GCD of 375, 357, 66, 435 on our page.
3. How to find GCD of 375, 357, 66, 435 on a calculator?
You can find the GCD of 375, 357, 66, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.