GCF of 4648/932, 9582/9552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4648/932, 9582/9552 i.e 2/2225616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4648/932, 9582/9552.
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 4648/932,9582/9552?
Given fractions are 4648/932,9582/9552
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 4648/932,9582/9552, numerators are 4648,9582
Denominators are 932,9552
The GCF of 4648,9582 is 2 .
LCM of 932,9552 is 2225616.
The greatest common factor of 4648/932,9582/9552 = [GCF of 4648,9582]/[LCM of 932,9552]= 2/2225616
Therefore, the GCF of 4648/932,9582/9552 is 2/2225616.
To find the highest common factor of 4648,9582, we have to find the factors of both numbers and list the highest common factor.
The factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648
The factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582
The HCF of 4648,9582 is 2.
Lets's calculate GCF of 4648,9582
| 2 | 4648, 9582 |
| 2324, 4791 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4648,9582 By Matching Biggest Common Factor Method
Now, list down the factors of 4648
:1,2,4,7,8,14,28,56,83,166,332,581,664,1162,2324,4648
Now, list down the factors of 9582
:1,2,3,6,1597,3194,4791,9582
Greatest Common Factor
We found the factors 4648,9582 . The biggest common factor number is the GCF number.
So the greatest common factor 4648,9582 is 2.
Lets's calculate LCM of 932,9552
| 2 | 932, 9552 |
| 2 | 466, 4776 |
| 233, 2388 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 2388 = 2225616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2225616
Therefore, the GCF of Fractions 4648/932,9582/9552 is 2/2225616
Least Common Multiple of 932,9552 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 932,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,9552) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(932,9552) x common factors =4 x 1 = 4
LCM(932,9552) = ( 932 × 9552 ) / 4
LCM(932,9552) = 8902464 / 4
LCM(932,9552) = 2225616
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FAQs on GCF of Fractions of 4648/932, 9582/9552
1. What is the HCF of 4648,9582?
The HCF of 4648,9582 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 4648/932, 9582/9552?
Answer: GCF of Numerators as per given numbers 4648/932, 9582/9552 is
GCF of Numerators i.e. for 4648,9582 is 2
LCM of denominators i.e. for 932,9552 is 2225616.
Thus, GCF of Fractions is 2/2225616.Finally, GCF of Fractions for 4648/932, 9582/9552 is 2/2225616.