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, 690, 77, 246 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 690, 77, 246 is 1
GCD(545, 690, 77, 246) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 690, 77, 246 is 1
GCD(545, 690, 77, 246) = 1
Given Input numbers are 545, 690, 77, 246
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 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Greatest Common Divisior
We found the divisors of 545, 690, 77, 246 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 690, 77, 246 is 1.
Therefore, GCD of numbers 545, 690, 77, 246 is 1
Given Input Data is 545, 690, 77, 246
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 77 is 7 x 11
Prime Factorization of 246 is 2 x 3 x 41
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, 690) = 75210
GCD(545, 690) = ( 545 x 690 ) / 75210
GCD(545, 690) = 376050 / 75210
GCD(545, 690) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 77) = 385
GCD(5, 77) = ( 5 x 77 ) / 385
GCD(5, 77) = 385 / 385
GCD(5, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 246
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 246) = 246
GCD(1, 246) = ( 1 x 246 ) / 246
GCD(1, 246) = 246 / 246
GCD(1, 246) = 1
GCD of 545, 690, 77, 246 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 690, 77, 246?
GCD of 545, 690, 77, 246 is 1
2. Where do I get the detailed procedure to find GCD of 545, 690, 77, 246?
You can find a detailed procedure to find GCD of 545, 690, 77, 246 on our page.
3. How to find GCD of 545, 690, 77, 246 on a calculator?
You can find the GCD of 545, 690, 77, 246 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.