GCF of 2443/432, 8114/5096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2443/432, 8114/5096 i.e 1/275184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2443/432, 8114/5096.
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 2443/432,8114/5096?
Given fractions are 2443/432,8114/5096
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 2443/432,8114/5096, numerators are 2443,8114
Denominators are 432,5096
The GCF of 2443,8114 is 1 .
LCM of 432,5096 is 275184.
The greatest common factor of 2443/432,8114/5096 = [GCF of 2443,8114]/[LCM of 432,5096]= 1/275184
Therefore, the GCF of 2443/432,8114/5096 is 1/275184.
To find the highest common factor of 2443,8114, we have to find the factors of both numbers and list the highest common factor.
The factors of 2443 are 1, 7, 349, 2443
The factors of 8114 are 1, 2, 4057, 8114
The HCF of 2443,8114 is 1.
Lets's calculate GCF of 2443,8114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2443,8114 By Matching Biggest Common Factor Method
Now, list down the factors of 2443
:1,7,349,2443
Now, list down the factors of 8114
:1,2,4057,8114
Greatest Common Factor
We found the factors 2443,8114 . The biggest common factor number is the GCF number.
So the greatest common factor 2443,8114 is 1.
Lets's calculate LCM of 432,5096
| 2 | 432, 5096 |
| 2 | 216, 2548 |
| 2 | 108, 1274 |
| 54, 637 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 54 x 637 = 275184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275184
Therefore, the GCF of Fractions 2443/432,8114/5096 is 1/275184
Least Common Multiple of 432,5096 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 432,5096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,5096) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(432,5096) x common factors =8 x 1 = 8
LCM(432,5096) = ( 432 × 5096 ) / 8
LCM(432,5096) = 2201472 / 8
LCM(432,5096) = 275184
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FAQs on GCF of Fractions of 2443/432, 8114/5096
1. What is the HCF of 2443,8114?
The HCF of 2443,8114 is 1
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 2443/432, 8114/5096?
Answer: GCF of Numerators as per given numbers 2443/432, 8114/5096 is
GCF of Numerators i.e. for 2443,8114 is 1
LCM of denominators i.e. for 432,5096 is 275184.
Thus, GCF of Fractions is 1/275184.Finally, GCF of Fractions for 2443/432, 8114/5096 is 1/275184.