GCF of 9879/450, 4514/5032
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9879/450, 4514/5032 i.e 37/1132200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9879/450, 4514/5032.
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 9879/450,4514/5032?
Given fractions are 9879/450,4514/5032
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 9879/450,4514/5032, numerators are 9879,4514
Denominators are 450,5032
The GCF of 9879,4514 is 37 .
LCM of 450,5032 is 1132200.
The greatest common factor of 9879/450,4514/5032 = [GCF of 9879,4514]/[LCM of 450,5032]= 37/1132200
Therefore, the GCF of 9879/450,4514/5032 is 37/1132200.
To find the highest common factor of 9879,4514, we have to find the factors of both numbers and list the highest common factor.
The factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879
The factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514
The HCF of 9879,4514 is 37.
Lets's calculate GCF of 9879,4514
| 37 | 9879, 4514 |
| 267, 122 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 9879,4514 By Matching Biggest Common Factor Method
Now, list down the factors of 9879
:1,3,37,89,111,267,3293,9879
Now, list down the factors of 4514
:1,2,37,61,74,122,2257,4514
Greatest Common Factor
We found the factors 9879,4514 . The biggest common factor number is the GCF number.
So the greatest common factor 9879,4514 is 37.
Lets's calculate LCM of 450,5032
| 2 | 450, 5032 |
| 225, 2516 |
∴ So the LCM of the given numbers is 2 x 225 x 2516 = 1132200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/1132200
Therefore, the GCF of Fractions 9879/450,4514/5032 is 37/1132200
Least Common Multiple of 450,5032 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 450,5032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,5032) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(450,5032) x common factors =2 x 1 = 2
LCM(450,5032) = ( 450 × 5032 ) / 2
LCM(450,5032) = 2264400 / 2
LCM(450,5032) = 1132200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9879/450, 4514/5032
1. What is the HCF of 9879,4514?
The HCF of 9879,4514 is 37
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 9879/450, 4514/5032?
Answer: GCF of Numerators as per given numbers 9879/450, 4514/5032 is
GCF of Numerators i.e. for 9879,4514 is 37
LCM of denominators i.e. for 450,5032 is 1132200.
Thus, GCF of Fractions is 37/1132200.Finally, GCF of Fractions for 9879/450, 4514/5032 is 37/1132200.