GCD of 140, 567, 302 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 140, 567, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 567, 302 is 1
GCD(140, 567, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 567, 302 is 1
GCD(140, 567, 302) = 1
GCDof 140,567,302 is 1
Given Input numbers are 140, 567, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 140, 567, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 567, 302 is 1.
Therefore, GCD of numbers 140, 567, 302 is 1
Given Input Data is 140, 567, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 302 is 2 x 151
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 140, 567, 302 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(140, 567) = 11340
GCD(140, 567) = ( 140 x 567 ) / 11340
GCD(140, 567) = 79380 / 11340
GCD(140, 567) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 302) = 2114
GCD(7, 302) = ( 7 x 302 ) / 2114
GCD(7, 302) = 2114 / 2114
GCD(7, 302) = 1
GCD of 140, 567, 302 is 1
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FAQs on GCD of numbers 140, 567, 302
1. What is the GCD of 140, 567, 302?
GCD of 140, 567, 302 is 1
2. Where do I get the detailed procedure to find GCD of 140, 567, 302?
You can find a detailed procedure to find GCD of 140, 567, 302 on our page.
3. How to find GCD of 140, 567, 302 on a calculator?
You can find the GCD of 140, 567, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.