GCF of 4436/519, 4244/9651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4436/519, 4244/9651 i.e 4/1669623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4436/519, 4244/9651.
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 4436/519,4244/9651?
Given fractions are 4436/519,4244/9651
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 4436/519,4244/9651, numerators are 4436,4244
Denominators are 519,9651
The GCF of 4436,4244 is 4 .
LCM of 519,9651 is 1669623.
The greatest common factor of 4436/519,4244/9651 = [GCF of 4436,4244]/[LCM of 519,9651]= 4/1669623
Therefore, the GCF of 4436/519,4244/9651 is 4/1669623.
To find the highest common factor of 4436,4244, we have to find the factors of both numbers and list the highest common factor.
The factors of 4436 are 1, 2, 4, 1109, 2218, 4436
The factors of 4244 are 1, 2, 4, 1061, 2122, 4244
The HCF of 4436,4244 is 4.
Lets's calculate GCF of 4436,4244
| 2 | 4436, 4244 |
| 2 | 2218, 2122 |
| 1109, 1061 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4436,4244 By Matching Biggest Common Factor Method
Now, list down the factors of 4436
:1,2,4,1109,2218,4436
Now, list down the factors of 4244
:1,2,4,1061,2122,4244
Greatest Common Factor
We found the factors 4436,4244 . The biggest common factor number is the GCF number.
So the greatest common factor 4436,4244 is 4.
Lets's calculate LCM of 519,9651
| 3 | 519, 9651 |
| 173, 3217 |
∴ So the LCM of the given numbers is 3 x 173 x 3217 = 1669623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1669623
Therefore, the GCF of Fractions 4436/519,4244/9651 is 4/1669623
Least Common Multiple of 519,9651 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 519,9651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,9651) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,9651) x common factors =3 x 1 = 3
LCM(519,9651) = ( 519 × 9651 ) / 3
LCM(519,9651) = 5008869 / 3
LCM(519,9651) = 1669623
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4436/519, 4244/9651
1. What is the HCF of 4436,4244?
The HCF of 4436,4244 is 4
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 4436/519, 4244/9651?
Answer: GCF of Numerators as per given numbers 4436/519, 4244/9651 is
GCF of Numerators i.e. for 4436,4244 is 4
LCM of denominators i.e. for 519,9651 is 1669623.
Thus, GCF of Fractions is 4/1669623.Finally, GCF of Fractions for 4436/519, 4244/9651 is 4/1669623.