GCF of 4653/478, 2484/5648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4653/478, 2484/5648 i.e 9/1349872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4653/478, 2484/5648.
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 4653/478,2484/5648?
Given fractions are 4653/478,2484/5648
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 4653/478,2484/5648, numerators are 4653,2484
Denominators are 478,5648
The GCF of 4653,2484 is 9 .
LCM of 478,5648 is 1349872.
The greatest common factor of 4653/478,2484/5648 = [GCF of 4653,2484]/[LCM of 478,5648]= 9/1349872
Therefore, the GCF of 4653/478,2484/5648 is 9/1349872.
To find the highest common factor of 4653,2484, we have to find the factors of both numbers and list the highest common factor.
The factors of 4653 are 1, 3, 9, 11, 33, 47, 99, 141, 423, 517, 1551, 4653
The factors of 2484 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 27, 36, 46, 54, 69, 92, 108, 138, 207, 276, 414, 621, 828, 1242, 2484
The HCF of 4653,2484 is 9.
Lets's calculate GCF of 4653,2484
| 3 | 4653, 2484 |
| 3 | 1551, 828 |
| 517, 276 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4653,2484 By Matching Biggest Common Factor Method
Now, list down the factors of 4653
:1,3,9,11,33,47,99,141,423,517,1551,4653
Now, list down the factors of 2484
:1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484
Greatest Common Factor
We found the factors 4653,2484 . The biggest common factor number is the GCF number.
So the greatest common factor 4653,2484 is 9.
Lets's calculate LCM of 478,5648
| 2 | 478, 5648 |
| 239, 2824 |
∴ So the LCM of the given numbers is 2 x 239 x 2824 = 1349872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1349872
Therefore, the GCF of Fractions 4653/478,2484/5648 is 9/1349872
Least Common Multiple of 478,5648 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 478,5648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,5648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,5648) x common factors =2 x 1 = 2
LCM(478,5648) = ( 478 × 5648 ) / 2
LCM(478,5648) = 2699744 / 2
LCM(478,5648) = 1349872
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FAQs on GCF of Fractions of 4653/478, 2484/5648
1. What is the HCF of 4653,2484?
The HCF of 4653,2484 is 9
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 4653/478, 2484/5648?
Answer: GCF of Numerators as per given numbers 4653/478, 2484/5648 is
GCF of Numerators i.e. for 4653,2484 is 9
LCM of denominators i.e. for 478,5648 is 1349872.
Thus, GCF of Fractions is 9/1349872.Finally, GCF of Fractions for 4653/478, 2484/5648 is 9/1349872.