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 340, 846, 546, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 846, 546, 635 is 1
GCD(340, 846, 546, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 846, 546, 635 is 1
GCD(340, 846, 546, 635) = 1
Given Input numbers are 340, 846, 546, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 340, 846, 546, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 846, 546, 635 is 1.
Therefore, GCD of numbers 340, 846, 546, 635 is 1
Given Input Data is 340, 846, 546, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 635 is 5 x 127
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(340, 846) = 143820
GCD(340, 846) = ( 340 x 846 ) / 143820
GCD(340, 846) = 287640 / 143820
GCD(340, 846) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 546) = 546
GCD(2, 546) = ( 2 x 546 ) / 546
GCD(2, 546) = 1092 / 546
GCD(2, 546) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 635) = 1270
GCD(2, 635) = ( 2 x 635 ) / 1270
GCD(2, 635) = 1270 / 1270
GCD(2, 635) = 1
GCD of 340, 846, 546, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 846, 546, 635?
GCD of 340, 846, 546, 635 is 1
2. Where do I get the detailed procedure to find GCD of 340, 846, 546, 635?
You can find a detailed procedure to find GCD of 340, 846, 546, 635 on our page.
3. How to find GCD of 340, 846, 546, 635 on a calculator?
You can find the GCD of 340, 846, 546, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.