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 545, 310, 86, 670 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 310, 86, 670 is 1
GCD(545, 310, 86, 670) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 310, 86, 670 is 1
GCD(545, 310, 86, 670) = 1
Given Input numbers are 545, 310, 86, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 545, 310, 86, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 310, 86, 670 is 1.
Therefore, GCD of numbers 545, 310, 86, 670 is 1
Given Input Data is 545, 310, 86, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 86 is 2 x 43
Prime Factorization of 670 is 2 x 5 x 67
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(545, 310) = 33790
GCD(545, 310) = ( 545 x 310 ) / 33790
GCD(545, 310) = 168950 / 33790
GCD(545, 310) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 86) = 430
GCD(5, 86) = ( 5 x 86 ) / 430
GCD(5, 86) = 430 / 430
GCD(5, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 670) = 670
GCD(1, 670) = ( 1 x 670 ) / 670
GCD(1, 670) = 670 / 670
GCD(1, 670) = 1
GCD of 545, 310, 86, 670 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 310, 86, 670?
GCD of 545, 310, 86, 670 is 1
2. Where do I get the detailed procedure to find GCD of 545, 310, 86, 670?
You can find a detailed procedure to find GCD of 545, 310, 86, 670 on our page.
3. How to find GCD of 545, 310, 86, 670 on a calculator?
You can find the GCD of 545, 310, 86, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.