GCF of 9290/448, 8730/5341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9290/448, 8730/5341 i.e 10/341824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9290/448, 8730/5341.
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 9290/448,8730/5341?
Given fractions are 9290/448,8730/5341
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 9290/448,8730/5341, numerators are 9290,8730
Denominators are 448,5341
The GCF of 9290,8730 is 10 .
LCM of 448,5341 is 341824.
The greatest common factor of 9290/448,8730/5341 = [GCF of 9290,8730]/[LCM of 448,5341]= 10/341824
Therefore, the GCF of 9290/448,8730/5341 is 10/341824.
To find the highest common factor of 9290,8730, we have to find the factors of both numbers and list the highest common factor.
The factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290
The factors of 8730 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730
The HCF of 9290,8730 is 10.
Lets's calculate GCF of 9290,8730
| 2 | 9290, 8730 |
| 5 | 4645, 4365 |
| 929, 873 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9290,8730 By Matching Biggest Common Factor Method
Now, list down the factors of 9290
:1,2,5,10,929,1858,4645,9290
Now, list down the factors of 8730
:1,2,3,5,6,9,10,15,18,30,45,90,97,194,291,485,582,873,970,1455,1746,2910,4365,8730
Greatest Common Factor
We found the factors 9290,8730 . The biggest common factor number is the GCF number.
So the greatest common factor 9290,8730 is 10.
Lets's calculate LCM of 448,5341
| 7 | 448, 5341 |
| 64, 763 |
∴ So the LCM of the given numbers is 7 x 64 x 763 = 341824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/341824
Therefore, the GCF of Fractions 9290/448,8730/5341 is 10/341824
Least Common Multiple of 448,5341 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 448,5341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,5341) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(448,5341) x common factors =7 x 1 = 7
LCM(448,5341) = ( 448 × 5341 ) / 7
LCM(448,5341) = 2392768 / 7
LCM(448,5341) = 341824
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FAQs on GCF of Fractions of 9290/448, 8730/5341
1. What is the HCF of 9290,8730?
The HCF of 9290,8730 is 10
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 9290/448, 8730/5341?
Answer: GCF of Numerators as per given numbers 9290/448, 8730/5341 is
GCF of Numerators i.e. for 9290,8730 is 10
LCM of denominators i.e. for 448,5341 is 341824.
Thus, GCF of Fractions is 10/341824.Finally, GCF of Fractions for 9290/448, 8730/5341 is 10/341824.