GCD of 703, 376, 66 Calculator
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 703, 376, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 703, 376, 66 is 1
GCD(703, 376, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 703, 376, 66 is 1
GCD(703, 376, 66) = 1
GCDof 703,376,66 is 1
Given Input numbers are 703, 376, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 703, 376, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 376, 66 is 1.
Therefore, GCD of numbers 703, 376, 66 is 1
Given Input Data is 703, 376, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 703 is 19 x 37
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 66 is 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 703, 376, 66 using LCM Formula
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(703, 376) = 264328
GCD(703, 376) = ( 703 x 376 ) / 264328
GCD(703, 376) = 264328 / 264328
GCD(703, 376) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 703, 376, 66 is 1
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FAQs on GCD of numbers 703, 376, 66
1. What is the GCD of 703, 376, 66?
GCD of 703, 376, 66 is 1
2. Where do I get the detailed procedure to find GCD of 703, 376, 66?
You can find a detailed procedure to find GCD of 703, 376, 66 on our page.
3. How to find GCD of 703, 376, 66 on a calculator?
You can find the GCD of 703, 376, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.