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 526, 140, 96, 646 i.e. 2 largest integer that divides all the numbers equally.
GCD of 526, 140, 96, 646 is 2
GCD(526, 140, 96, 646) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 526, 140, 96, 646 is 2
GCD(526, 140, 96, 646) = 2
Given Input numbers are 526, 140, 96, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 526, 140, 96, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 140, 96, 646 is 2.
Therefore, GCD of numbers 526, 140, 96, 646 is 2
Given Input Data is 526, 140, 96, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 526 is 2 x 263
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 646 is 2 x 17 x 19
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(526, 140) = 36820
GCD(526, 140) = ( 526 x 140 ) / 36820
GCD(526, 140) = 73640 / 36820
GCD(526, 140) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 96) = 96
GCD(2, 96) = ( 2 x 96 ) / 96
GCD(2, 96) = 192 / 96
GCD(2, 96) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
GCD(2, 646) = 1292 / 646
GCD(2, 646) = 2
GCD of 526, 140, 96, 646 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 526, 140, 96, 646?
GCD of 526, 140, 96, 646 is 2
2. Where do I get the detailed procedure to find GCD of 526, 140, 96, 646?
You can find a detailed procedure to find GCD of 526, 140, 96, 646 on our page.
3. How to find GCD of 526, 140, 96, 646 on a calculator?
You can find the GCD of 526, 140, 96, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.