GCD of 275, 420, 952 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 275, 420, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 420, 952 is 1
GCD(275, 420, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 420, 952 is 1
GCD(275, 420, 952) = 1
GCDof 275,420,952 is 1
Given Input numbers are 275, 420, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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
Greatest Common Divisior
We found the divisors of 275, 420, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 420, 952 is 1.
Therefore, GCD of numbers 275, 420, 952 is 1
Given Input Data is 275, 420, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 275, 420, 952 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(275, 420) = 23100
GCD(275, 420) = ( 275 x 420 ) / 23100
GCD(275, 420) = 115500 / 23100
GCD(275, 420) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 952) = 4760
GCD(5, 952) = ( 5 x 952 ) / 4760
GCD(5, 952) = 4760 / 4760
GCD(5, 952) = 1
GCD of 275, 420, 952 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 275, 420, 952
1. What is the GCD of 275, 420, 952?
GCD of 275, 420, 952 is 1
2. Where do I get the detailed procedure to find GCD of 275, 420, 952?
You can find a detailed procedure to find GCD of 275, 420, 952 on our page.
3. How to find GCD of 275, 420, 952 on a calculator?
You can find the GCD of 275, 420, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.