GCD of 245, 952, 142 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 245, 952, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 245, 952, 142 is 1
GCD(245, 952, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 245, 952, 142 is 1
GCD(245, 952, 142) = 1
GCDof 245,952,142 is 1
Given Input numbers are 245, 952, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 245, 952, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 952, 142 is 1.
Therefore, GCD of numbers 245, 952, 142 is 1
Given Input Data is 245, 952, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 142 is 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 245, 952, 142 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(245, 952) = 33320
GCD(245, 952) = ( 245 x 952 ) / 33320
GCD(245, 952) = 233240 / 33320
GCD(245, 952) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 142) = 994
GCD(7, 142) = ( 7 x 142 ) / 994
GCD(7, 142) = 994 / 994
GCD(7, 142) = 1
GCD of 245, 952, 142 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 245, 952, 142
1. What is the GCD of 245, 952, 142?
GCD of 245, 952, 142 is 1
2. Where do I get the detailed procedure to find GCD of 245, 952, 142?
You can find a detailed procedure to find GCD of 245, 952, 142 on our page.
3. How to find GCD of 245, 952, 142 on a calculator?
You can find the GCD of 245, 952, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
