GCF of 9448/132, 9320/4635
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9448/132, 9320/4635 i.e 8/203940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9448/132, 9320/4635.
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 9448/132,9320/4635?
Given fractions are 9448/132,9320/4635
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 9448/132,9320/4635, numerators are 9448,9320
Denominators are 132,4635
The GCF of 9448,9320 is 8 .
LCM of 132,4635 is 203940.
The greatest common factor of 9448/132,9320/4635 = [GCF of 9448,9320]/[LCM of 132,4635]= 8/203940
Therefore, the GCF of 9448/132,9320/4635 is 8/203940.
To find the highest common factor of 9448,9320, we have to find the factors of both numbers and list the highest common factor.
The factors of 9448 are 1, 2, 4, 8, 1181, 2362, 4724, 9448
The factors of 9320 are 1, 2, 4, 5, 8, 10, 20, 40, 233, 466, 932, 1165, 1864, 2330, 4660, 9320
The HCF of 9448,9320 is 8.
Lets's calculate GCF of 9448,9320
| 2 | 9448, 9320 |
| 2 | 4724, 4660 |
| 2 | 2362, 2330 |
| 1181, 1165 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9448,9320 By Matching Biggest Common Factor Method
Now, list down the factors of 9448
:1,2,4,8,1181,2362,4724,9448
Now, list down the factors of 9320
:1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320
Greatest Common Factor
We found the factors 9448,9320 . The biggest common factor number is the GCF number.
So the greatest common factor 9448,9320 is 8.
Lets's calculate LCM of 132,4635
| 3 | 132, 4635 |
| 44, 1545 |
∴ So the LCM of the given numbers is 3 x 44 x 1545 = 203940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/203940
Therefore, the GCF of Fractions 9448/132,9320/4635 is 8/203940
Least Common Multiple of 132,4635 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 132,4635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,4635) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(132,4635) x common factors =3 x 1 = 3
LCM(132,4635) = ( 132 × 4635 ) / 3
LCM(132,4635) = 611820 / 3
LCM(132,4635) = 203940
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FAQs on GCF of Fractions of 9448/132, 9320/4635
1. What is the HCF of 9448,9320?
The HCF of 9448,9320 is 8
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 9448/132, 9320/4635?
Answer: GCF of Numerators as per given numbers 9448/132, 9320/4635 is
GCF of Numerators i.e. for 9448,9320 is 8
LCM of denominators i.e. for 132,4635 is 203940.
Thus, GCF of Fractions is 8/203940.Finally, GCF of Fractions for 9448/132, 9320/4635 is 8/203940.