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, 224, 240, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 224, 240, 737 is 1
GCD(248, 224, 240, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 224, 240, 737 is 1
GCD(248, 224, 240, 737) = 1
Given Input numbers are 248, 224, 240, 737
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 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 248, 224, 240, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 224, 240, 737 is 1.
Therefore, GCD of numbers 248, 224, 240, 737 is 1
Given Input Data is 248, 224, 240, 737
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 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 737 is 11 x 67
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, 224) = 6944
GCD(248, 224) = ( 248 x 224 ) / 6944
GCD(248, 224) = 55552 / 6944
GCD(248, 224) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 240) = 240
GCD(8, 240) = ( 8 x 240 ) / 240
GCD(8, 240) = 1920 / 240
GCD(8, 240) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 737) = 5896
GCD(8, 737) = ( 8 x 737 ) / 5896
GCD(8, 737) = 5896 / 5896
GCD(8, 737) = 1
GCD of 248, 224, 240, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 224, 240, 737?
GCD of 248, 224, 240, 737 is 1
2. Where do I get the detailed procedure to find GCD of 248, 224, 240, 737?
You can find a detailed procedure to find GCD of 248, 224, 240, 737 on our page.
3. How to find GCD of 248, 224, 240, 737 on a calculator?
You can find the GCD of 248, 224, 240, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.