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 262, 564, 62, 290 i.e. 2 largest integer that divides all the numbers equally.
GCD of 262, 564, 62, 290 is 2
GCD(262, 564, 62, 290) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 564, 62, 290 is 2
GCD(262, 564, 62, 290) = 2
Given Input numbers are 262, 564, 62, 290
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Greatest Common Divisior
We found the divisors of 262, 564, 62, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 564, 62, 290 is 2.
Therefore, GCD of numbers 262, 564, 62, 290 is 2
Given Input Data is 262, 564, 62, 290
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 62 is 2 x 31
Prime Factorization of 290 is 2 x 5 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(262, 564) = 73884
GCD(262, 564) = ( 262 x 564 ) / 73884
GCD(262, 564) = 147768 / 73884
GCD(262, 564) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 62) = 62
GCD(2, 62) = ( 2 x 62 ) / 62
GCD(2, 62) = 124 / 62
GCD(2, 62) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 290
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 290) = 290
GCD(2, 290) = ( 2 x 290 ) / 290
GCD(2, 290) = 580 / 290
GCD(2, 290) = 2
GCD of 262, 564, 62, 290 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 564, 62, 290?
GCD of 262, 564, 62, 290 is 2
2. Where do I get the detailed procedure to find GCD of 262, 564, 62, 290?
You can find a detailed procedure to find GCD of 262, 564, 62, 290 on our page.
3. How to find GCD of 262, 564, 62, 290 on a calculator?
You can find the GCD of 262, 564, 62, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.