GCF of 7090/498, 4448/4764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7090/498, 4448/4764 i.e 2/395412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7090/498, 4448/4764.
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 7090/498,4448/4764?
Given fractions are 7090/498,4448/4764
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 7090/498,4448/4764, numerators are 7090,4448
Denominators are 498,4764
The GCF of 7090,4448 is 2 .
LCM of 498,4764 is 395412.
The greatest common factor of 7090/498,4448/4764 = [GCF of 7090,4448]/[LCM of 498,4764]= 2/395412
Therefore, the GCF of 7090/498,4448/4764 is 2/395412.
To find the highest common factor of 7090,4448, we have to find the factors of both numbers and list the highest common factor.
The factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090
The factors of 4448 are 1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448
The HCF of 7090,4448 is 2.
Lets's calculate GCF of 7090,4448
| 2 | 7090, 4448 |
| 3545, 2224 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7090,4448 By Matching Biggest Common Factor Method
Now, list down the factors of 7090
:1,2,5,10,709,1418,3545,7090
Now, list down the factors of 4448
:1,2,4,8,16,32,139,278,556,1112,2224,4448
Greatest Common Factor
We found the factors 7090,4448 . The biggest common factor number is the GCF number.
So the greatest common factor 7090,4448 is 2.
Lets's calculate LCM of 498,4764
| 2 | 498, 4764 |
| 3 | 249, 2382 |
| 83, 794 |
∴ So the LCM of the given numbers is 2 x 3 x 83 x 794 = 395412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/395412
Therefore, the GCF of Fractions 7090/498,4448/4764 is 2/395412
Least Common Multiple of 498,4764 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 498,4764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,4764) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(498,4764) x common factors =6 x 1 = 6
LCM(498,4764) = ( 498 × 4764 ) / 6
LCM(498,4764) = 2372472 / 6
LCM(498,4764) = 395412
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FAQs on GCF of Fractions of 7090/498, 4448/4764
1. What is the HCF of 7090,4448?
The HCF of 7090,4448 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 7090/498, 4448/4764?
Answer: GCF of Numerators as per given numbers 7090/498, 4448/4764 is
GCF of Numerators i.e. for 7090,4448 is 2
LCM of denominators i.e. for 498,4764 is 395412.
Thus, GCF of Fractions is 2/395412.Finally, GCF of Fractions for 7090/498, 4448/4764 is 2/395412.