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 345, 357, 62, 781 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 357, 62, 781 is 1
GCD(345, 357, 62, 781) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 357, 62, 781 is 1
GCD(345, 357, 62, 781) = 1
Given Input numbers are 345, 357, 62, 781
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
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 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Greatest Common Divisior
We found the divisors of 345, 357, 62, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 357, 62, 781 is 1.
Therefore, GCD of numbers 345, 357, 62, 781 is 1
Given Input Data is 345, 357, 62, 781
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 62 is 2 x 31
Prime Factorization of 781 is 11 x 71
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(345, 357) = 41055
GCD(345, 357) = ( 345 x 357 ) / 41055
GCD(345, 357) = 123165 / 41055
GCD(345, 357) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 62) = 186
GCD(3, 62) = ( 3 x 62 ) / 186
GCD(3, 62) = 186 / 186
GCD(3, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 781) = 781
GCD(1, 781) = ( 1 x 781 ) / 781
GCD(1, 781) = 781 / 781
GCD(1, 781) = 1
GCD of 345, 357, 62, 781 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 357, 62, 781?
GCD of 345, 357, 62, 781 is 1
2. Where do I get the detailed procedure to find GCD of 345, 357, 62, 781?
You can find a detailed procedure to find GCD of 345, 357, 62, 781 on our page.
3. How to find GCD of 345, 357, 62, 781 on a calculator?
You can find the GCD of 345, 357, 62, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.