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, 340, 616, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 340, 616, 425 is 1
GCD(87, 340, 616, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 340, 616, 425 is 1
GCD(87, 340, 616, 425) = 1
Given Input numbers are 87, 340, 616, 425
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 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 87, 340, 616, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 340, 616, 425 is 1.
Therefore, GCD of numbers 87, 340, 616, 425 is 1
Given Input Data is 87, 340, 616, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 425 is 5 x 5 x 17
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, 340) = 29580
GCD(87, 340) = ( 87 x 340 ) / 29580
GCD(87, 340) = 29580 / 29580
GCD(87, 340) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 87, 340, 616, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 340, 616, 425?
GCD of 87, 340, 616, 425 is 1
2. Where do I get the detailed procedure to find GCD of 87, 340, 616, 425?
You can find a detailed procedure to find GCD of 87, 340, 616, 425 on our page.
3. How to find GCD of 87, 340, 616, 425 on a calculator?
You can find the GCD of 87, 340, 616, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.