GCF of 3170/884, 4006/5316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3170/884, 4006/5316 i.e 2/1174836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3170/884, 4006/5316.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3170/884,4006/5316?
Given fractions are 3170/884,4006/5316
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3170/884,4006/5316, numerators are 3170,4006
Denominators are 884,5316
The GCF of 3170,4006 is 2 .
LCM of 884,5316 is 1174836.
The greatest common factor of 3170/884,4006/5316 = [GCF of 3170,4006]/[LCM of 884,5316]= 2/1174836
Therefore, the GCF of 3170/884,4006/5316 is 2/1174836.
To find the highest common factor of 3170,4006, we have to find the factors of both numbers and list the highest common factor.
The factors of 3170 are 1, 2, 5, 10, 317, 634, 1585, 3170
The factors of 4006 are 1, 2, 2003, 4006
The HCF of 3170,4006 is 2.
Lets's calculate GCF of 3170,4006
| 2 | 3170, 4006 |
| 1585, 2003 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3170,4006 By Matching Biggest Common Factor Method
Now, list down the factors of 3170
:1,2,5,10,317,634,1585,3170
Now, list down the factors of 4006
:1,2,2003,4006
Greatest Common Factor
We found the factors 3170,4006 . The biggest common factor number is the GCF number.
So the greatest common factor 3170,4006 is 2.
Lets's calculate LCM of 884,5316
| 2 | 884, 5316 |
| 2 | 442, 2658 |
| 221, 1329 |
∴ So the LCM of the given numbers is 2 x 2 x 221 x 1329 = 1174836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1174836
Therefore, the GCF of Fractions 3170/884,4006/5316 is 2/1174836
Least Common Multiple of 884,5316 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 884,5316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,5316) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(884,5316) x common factors =4 x 1 = 4
LCM(884,5316) = ( 884 × 5316 ) / 4
LCM(884,5316) = 4699344 / 4
LCM(884,5316) = 1174836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3170/884, 4006/5316
1. What is the HCF of 3170,4006?
The HCF of 3170,4006 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3170/884, 4006/5316?
Answer: GCF of Numerators as per given numbers 3170/884, 4006/5316 is
GCF of Numerators i.e. for 3170,4006 is 2
LCM of denominators i.e. for 884,5316 is 1174836.
Thus, GCF of Fractions is 2/1174836.Finally, GCF of Fractions for 3170/884, 4006/5316 is 2/1174836.