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 59, 624, 206, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 624, 206, 770 is 1
GCD(59, 624, 206, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 624, 206, 770 is 1
GCD(59, 624, 206, 770) = 1
Given Input numbers are 59, 624, 206, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 59, 624, 206, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 624, 206, 770 is 1.
Therefore, GCD of numbers 59, 624, 206, 770 is 1
Given Input Data is 59, 624, 206, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 206 is 2 x 103
Prime Factorization of 770 is 2 x 5 x 7 x 11
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(59, 624) = 36816
GCD(59, 624) = ( 59 x 624 ) / 36816
GCD(59, 624) = 36816 / 36816
GCD(59, 624) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 59, 624, 206, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 624, 206, 770?
GCD of 59, 624, 206, 770 is 1
2. Where do I get the detailed procedure to find GCD of 59, 624, 206, 770?
You can find a detailed procedure to find GCD of 59, 624, 206, 770 on our page.
3. How to find GCD of 59, 624, 206, 770 on a calculator?
You can find the GCD of 59, 624, 206, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.