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 238, 276, 670, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 276, 670, 737 is 1
GCD(238, 276, 670, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 276, 670, 737 is 1
GCD(238, 276, 670, 737) = 1
Given Input numbers are 238, 276, 670, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
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 238, 276, 670, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 276, 670, 737 is 1.
Therefore, GCD of numbers 238, 276, 670, 737 is 1
Given Input Data is 238, 276, 670, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 670 is 2 x 5 x 67
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(238, 276) = 32844
GCD(238, 276) = ( 238 x 276 ) / 32844
GCD(238, 276) = 65688 / 32844
GCD(238, 276) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
GCD(2, 670) = 1340 / 670
GCD(2, 670) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
GCD of 238, 276, 670, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 276, 670, 737?
GCD of 238, 276, 670, 737 is 1
2. Where do I get the detailed procedure to find GCD of 238, 276, 670, 737?
You can find a detailed procedure to find GCD of 238, 276, 670, 737 on our page.
3. How to find GCD of 238, 276, 670, 737 on a calculator?
You can find the GCD of 238, 276, 670, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.