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, 280, 278, 907 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 280, 278, 907 is 1
GCD(87, 280, 278, 907) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 280, 278, 907 is 1
GCD(87, 280, 278, 907) = 1
Given Input numbers are 87, 280, 278, 907
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 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Greatest Common Divisior
We found the divisors of 87, 280, 278, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 280, 278, 907 is 1.
Therefore, GCD of numbers 87, 280, 278, 907 is 1
Given Input Data is 87, 280, 278, 907
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 278 is 2 x 139
Prime Factorization of 907 is 907
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, 280) = 24360
GCD(87, 280) = ( 87 x 280 ) / 24360
GCD(87, 280) = 24360 / 24360
GCD(87, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 907
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
GCD(1, 907) = 907 / 907
GCD(1, 907) = 1
GCD of 87, 280, 278, 907 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 280, 278, 907?
GCD of 87, 280, 278, 907 is 1
2. Where do I get the detailed procedure to find GCD of 87, 280, 278, 907?
You can find a detailed procedure to find GCD of 87, 280, 278, 907 on our page.
3. How to find GCD of 87, 280, 278, 907 on a calculator?
You can find the GCD of 87, 280, 278, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.