GCD of 750, 237, 278 Calculator
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 750, 237, 278 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 237, 278 is 1
GCD(750, 237, 278) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 237, 278 is 1
GCD(750, 237, 278) = 1
GCDof 750,237,278 is 1
Given Input numbers are 750, 237, 278
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Greatest Common Divisior
We found the divisors of 750, 237, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 237, 278 is 1.
Therefore, GCD of numbers 750, 237, 278 is 1
Given Input Data is 750, 237, 278
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 237 is 3 x 79
Prime Factorization of 278 is 2 x 139
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 750, 237, 278 using LCM Formula
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(750, 237) = 59250
GCD(750, 237) = ( 750 x 237 ) / 59250
GCD(750, 237) = 177750 / 59250
GCD(750, 237) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 278) = 834
GCD(3, 278) = ( 3 x 278 ) / 834
GCD(3, 278) = 834 / 834
GCD(3, 278) = 1
GCD of 750, 237, 278 is 1
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FAQs on GCD of numbers 750, 237, 278
1. What is the GCD of 750, 237, 278?
GCD of 750, 237, 278 is 1
2. Where do I get the detailed procedure to find GCD of 750, 237, 278?
You can find a detailed procedure to find GCD of 750, 237, 278 on our page.
3. How to find GCD of 750, 237, 278 on a calculator?
You can find the GCD of 750, 237, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.