GCF of 5468/232, 9478/3060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5468/232, 9478/3060 i.e 2/177480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5468/232, 9478/3060.
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 5468/232,9478/3060?
Given fractions are 5468/232,9478/3060
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 5468/232,9478/3060, numerators are 5468,9478
Denominators are 232,3060
The GCF of 5468,9478 is 2 .
LCM of 232,3060 is 177480.
The greatest common factor of 5468/232,9478/3060 = [GCF of 5468,9478]/[LCM of 232,3060]= 2/177480
Therefore, the GCF of 5468/232,9478/3060 is 2/177480.
To find the highest common factor of 5468,9478, we have to find the factors of both numbers and list the highest common factor.
The factors of 5468 are 1, 2, 4, 1367, 2734, 5468
The factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478
The HCF of 5468,9478 is 2.
Lets's calculate GCF of 5468,9478
| 2 | 5468, 9478 |
| 2734, 4739 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5468,9478 By Matching Biggest Common Factor Method
Now, list down the factors of 5468
:1,2,4,1367,2734,5468
Now, list down the factors of 9478
:1,2,7,14,677,1354,4739,9478
Greatest Common Factor
We found the factors 5468,9478 . The biggest common factor number is the GCF number.
So the greatest common factor 5468,9478 is 2.
Lets's calculate LCM of 232,3060
| 2 | 232, 3060 |
| 2 | 116, 1530 |
| 58, 765 |
∴ So the LCM of the given numbers is 2 x 2 x 58 x 765 = 177480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/177480
Therefore, the GCF of Fractions 5468/232,9478/3060 is 2/177480
Least Common Multiple of 232,3060 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 232,3060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,3060) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(232,3060) x common factors =4 x 1 = 4
LCM(232,3060) = ( 232 × 3060 ) / 4
LCM(232,3060) = 709920 / 4
LCM(232,3060) = 177480
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FAQs on GCF of Fractions of 5468/232, 9478/3060
1. What is the HCF of 5468,9478?
The HCF of 5468,9478 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 5468/232, 9478/3060?
Answer: GCF of Numerators as per given numbers 5468/232, 9478/3060 is
GCF of Numerators i.e. for 5468,9478 is 2
LCM of denominators i.e. for 232,3060 is 177480.
Thus, GCF of Fractions is 2/177480.Finally, GCF of Fractions for 5468/232, 9478/3060 is 2/177480.