GCF of 2438/565, 8752/3915
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2438/565, 8752/3915 i.e 2/442395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2438/565, 8752/3915.
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 2438/565,8752/3915?
Given fractions are 2438/565,8752/3915
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 2438/565,8752/3915, numerators are 2438,8752
Denominators are 565,3915
The GCF of 2438,8752 is 2 .
LCM of 565,3915 is 442395.
The greatest common factor of 2438/565,8752/3915 = [GCF of 2438,8752]/[LCM of 565,3915]= 2/442395
Therefore, the GCF of 2438/565,8752/3915 is 2/442395.
To find the highest common factor of 2438,8752, we have to find the factors of both numbers and list the highest common factor.
The factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438
The factors of 8752 are 1, 2, 4, 8, 16, 547, 1094, 2188, 4376, 8752
The HCF of 2438,8752 is 2.
Lets's calculate GCF of 2438,8752
| 2 | 2438, 8752 |
| 1219, 4376 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2438,8752 By Matching Biggest Common Factor Method
Now, list down the factors of 2438
:1,2,23,46,53,106,1219,2438
Now, list down the factors of 8752
:1,2,4,8,16,547,1094,2188,4376,8752
Greatest Common Factor
We found the factors 2438,8752 . The biggest common factor number is the GCF number.
So the greatest common factor 2438,8752 is 2.
Lets's calculate LCM of 565,3915
| 5 | 565, 3915 |
| 113, 783 |
∴ So the LCM of the given numbers is 5 x 113 x 783 = 442395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/442395
Therefore, the GCF of Fractions 2438/565,8752/3915 is 2/442395
Least Common Multiple of 565,3915 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 565,3915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,3915) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,3915) x common factors =5 x 1 = 5
LCM(565,3915) = ( 565 × 3915 ) / 5
LCM(565,3915) = 2211975 / 5
LCM(565,3915) = 442395
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FAQs on GCF of Fractions of 2438/565, 8752/3915
1. What is the HCF of 2438,8752?
The HCF of 2438,8752 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 2438/565, 8752/3915?
Answer: GCF of Numerators as per given numbers 2438/565, 8752/3915 is
GCF of Numerators i.e. for 2438,8752 is 2
LCM of denominators i.e. for 565,3915 is 442395.
Thus, GCF of Fractions is 2/442395.Finally, GCF of Fractions for 2438/565, 8752/3915 is 2/442395.