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 248, 920, 766, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 920, 766, 959 is 1
GCD(248, 920, 766, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 920, 766, 959 is 1
GCD(248, 920, 766, 959) = 1
Given Input numbers are 248, 920, 766, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 248, 920, 766, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 920, 766, 959 is 1.
Therefore, GCD of numbers 248, 920, 766, 959 is 1
Given Input Data is 248, 920, 766, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 766 is 2 x 383
Prime Factorization of 959 is 7 x 137
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(248, 920) = 28520
GCD(248, 920) = ( 248 x 920 ) / 28520
GCD(248, 920) = 228160 / 28520
GCD(248, 920) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 766) = 3064
GCD(8, 766) = ( 8 x 766 ) / 3064
GCD(8, 766) = 6128 / 3064
GCD(8, 766) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 959) = 1918
GCD(2, 959) = ( 2 x 959 ) / 1918
GCD(2, 959) = 1918 / 1918
GCD(2, 959) = 1
GCD of 248, 920, 766, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 920, 766, 959?
GCD of 248, 920, 766, 959 is 1
2. Where do I get the detailed procedure to find GCD of 248, 920, 766, 959?
You can find a detailed procedure to find GCD of 248, 920, 766, 959 on our page.
3. How to find GCD of 248, 920, 766, 959 on a calculator?
You can find the GCD of 248, 920, 766, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.