GCF of 4295/982, 4468/2434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4295/982, 4468/2434 i.e 1/1195094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4295/982, 4468/2434.
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 4295/982,4468/2434?
Given fractions are 4295/982,4468/2434
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 4295/982,4468/2434, numerators are 4295,4468
Denominators are 982,2434
The GCF of 4295,4468 is 1 .
LCM of 982,2434 is 1195094.
The greatest common factor of 4295/982,4468/2434 = [GCF of 4295,4468]/[LCM of 982,2434]= 1/1195094
Therefore, the GCF of 4295/982,4468/2434 is 1/1195094.
To find the highest common factor of 4295,4468, we have to find the factors of both numbers and list the highest common factor.
The factors of 4295 are 1, 5, 859, 4295
The factors of 4468 are 1, 2, 4, 1117, 2234, 4468
The HCF of 4295,4468 is 1.
Lets's calculate GCF of 4295,4468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4295,4468 By Matching Biggest Common Factor Method
Now, list down the factors of 4295
:1,5,859,4295
Now, list down the factors of 4468
:1,2,4,1117,2234,4468
Greatest Common Factor
We found the factors 4295,4468 . The biggest common factor number is the GCF number.
So the greatest common factor 4295,4468 is 1.
Lets's calculate LCM of 982,2434
| 2 | 982, 2434 |
| 491, 1217 |
∴ So the LCM of the given numbers is 2 x 491 x 1217 = 1195094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1195094
Therefore, the GCF of Fractions 4295/982,4468/2434 is 1/1195094
Least Common Multiple of 982,2434 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 982,2434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,2434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,2434) x common factors =2 x 1 = 2
LCM(982,2434) = ( 982 × 2434 ) / 2
LCM(982,2434) = 2390188 / 2
LCM(982,2434) = 1195094
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FAQs on GCF of Fractions of 4295/982, 4468/2434
1. What is the HCF of 4295,4468?
The HCF of 4295,4468 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 4295/982, 4468/2434?
Answer: GCF of Numerators as per given numbers 4295/982, 4468/2434 is
GCF of Numerators i.e. for 4295,4468 is 1
LCM of denominators i.e. for 982,2434 is 1195094.
Thus, GCF of Fractions is 1/1195094.Finally, GCF of Fractions for 4295/982, 4468/2434 is 1/1195094.