GCD of 237, 360, 948 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 237, 360, 948 i.e. 3 largest integer that divides all the numbers equally.
GCD of 237, 360, 948 is 3
GCD(237, 360, 948) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 360, 948 is 3
GCD(237, 360, 948) = 3
GCDof 237,360,948 is 3
Given Input numbers are 237, 360, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 237, 360, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 360, 948 is 3.
Therefore, GCD of numbers 237, 360, 948 is 3
Given Input Data is 237, 360, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 948 is 2 x 2 x 3 x 79
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 237, 360, 948 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(237, 360) = 28440
GCD(237, 360) = ( 237 x 360 ) / 28440
GCD(237, 360) = 85320 / 28440
GCD(237, 360) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 948) = 948
GCD(3, 948) = ( 3 x 948 ) / 948
GCD(3, 948) = 2844 / 948
GCD(3, 948) = 3
GCD of 237, 360, 948 is 3
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FAQs on GCD of numbers 237, 360, 948
1. What is the GCD of 237, 360, 948?
GCD of 237, 360, 948 is 3
2. Where do I get the detailed procedure to find GCD of 237, 360, 948?
You can find a detailed procedure to find GCD of 237, 360, 948 on our page.
3. How to find GCD of 237, 360, 948 on a calculator?
You can find the GCD of 237, 360, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.