GCD of 49, 35, 84 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 49, 35, 84 i.e. 7 largest integer that divides all the numbers equally.
GCD of 49, 35, 84 is 7
GCD(49, 35, 84) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 35, 84 is 7
GCD(49, 35, 84) = 7
GCDof 49,35,84 is 7
Given Input numbers are 49, 35, 84
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Greatest Common Divisior
We found the divisors of 49, 35, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 35, 84 is 7.
Therefore, GCD of numbers 49, 35, 84 is 7
Given Input Data is 49, 35, 84
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 35 is 5 x 7
Prime Factorization of 84 is 2 x 2 x 3 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 49, 35, 84 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(49, 35) = 245
GCD(49, 35) = ( 49 x 35 ) / 245
GCD(49, 35) = 1715 / 245
GCD(49, 35) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 84) = 84
GCD(7, 84) = ( 7 x 84 ) / 84
GCD(7, 84) = 588 / 84
GCD(7, 84) = 7
GCD of 49, 35, 84 is 7
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FAQs on GCD of numbers 49, 35, 84
1. What is the GCD of 49, 35, 84?
GCD of 49, 35, 84 is 7
2. Where do I get the detailed procedure to find GCD of 49, 35, 84?
You can find a detailed procedure to find GCD of 49, 35, 84 on our page.
3. How to find GCD of 49, 35, 84 on a calculator?
You can find the GCD of 49, 35, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.