GCD of 984, 348, 35 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 984, 348, 35 i.e. 1 largest integer that divides all the numbers equally.
GCD of 984, 348, 35 is 1
GCD(984, 348, 35) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 984, 348, 35 is 1
GCD(984, 348, 35) = 1
GCDof 984,348,35 is 1
Given Input numbers are 984, 348, 35
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Greatest Common Divisior
We found the divisors of 984, 348, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 348, 35 is 1.
Therefore, GCD of numbers 984, 348, 35 is 1
Given Input Data is 984, 348, 35
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 35 is 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 984, 348, 35 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(984, 348) = 28536
GCD(984, 348) = ( 984 x 348 ) / 28536
GCD(984, 348) = 342432 / 28536
GCD(984, 348) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 35) = 420
GCD(12, 35) = ( 12 x 35 ) / 420
GCD(12, 35) = 420 / 420
GCD(12, 35) = 1
GCD of 984, 348, 35 is 1
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FAQs on GCD of numbers 984, 348, 35
1. What is the GCD of 984, 348, 35?
GCD of 984, 348, 35 is 1
2. Where do I get the detailed procedure to find GCD of 984, 348, 35?
You can find a detailed procedure to find GCD of 984, 348, 35 on our page.
3. How to find GCD of 984, 348, 35 on a calculator?
You can find the GCD of 984, 348, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.