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 87, 423, 846, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 423, 846, 620 is 1
GCD(87, 423, 846, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 423, 846, 620 is 1
GCD(87, 423, 846, 620) = 1
Given Input numbers are 87, 423, 846, 620
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 87, 423, 846, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 423, 846, 620 is 1.
Therefore, GCD of numbers 87, 423, 846, 620 is 1
Given Input Data is 87, 423, 846, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 620 is 2 x 2 x 5 x 31
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(87, 423) = 12267
GCD(87, 423) = ( 87 x 423 ) / 12267
GCD(87, 423) = 36801 / 12267
GCD(87, 423) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 846) = 846
GCD(3, 846) = ( 3 x 846 ) / 846
GCD(3, 846) = 2538 / 846
GCD(3, 846) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 620) = 1860
GCD(3, 620) = ( 3 x 620 ) / 1860
GCD(3, 620) = 1860 / 1860
GCD(3, 620) = 1
GCD of 87, 423, 846, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 423, 846, 620?
GCD of 87, 423, 846, 620 is 1
2. Where do I get the detailed procedure to find GCD of 87, 423, 846, 620?
You can find a detailed procedure to find GCD of 87, 423, 846, 620 on our page.
3. How to find GCD of 87, 423, 846, 620 on a calculator?
You can find the GCD of 87, 423, 846, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.