GCF of 1533/612, 9464/8148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1533/612, 9464/8148 i.e 7/415548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1533/612, 9464/8148.
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 1533/612,9464/8148?
Given fractions are 1533/612,9464/8148
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 1533/612,9464/8148, numerators are 1533,9464
Denominators are 612,8148
The GCF of 1533,9464 is 7 .
LCM of 612,8148 is 415548.
The greatest common factor of 1533/612,9464/8148 = [GCF of 1533,9464]/[LCM of 612,8148]= 7/415548
Therefore, the GCF of 1533/612,9464/8148 is 7/415548.
To find the highest common factor of 1533,9464, we have to find the factors of both numbers and list the highest common factor.
The factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533
The factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The HCF of 1533,9464 is 7.
Lets's calculate GCF of 1533,9464
| 7 | 1533, 9464 |
| 219, 1352 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1533,9464 By Matching Biggest Common Factor Method
Now, list down the factors of 1533
:1,3,7,21,73,219,511,1533
Now, list down the factors of 9464
:1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Greatest Common Factor
We found the factors 1533,9464 . The biggest common factor number is the GCF number.
So the greatest common factor 1533,9464 is 7.
Lets's calculate LCM of 612,8148
| 2 | 612, 8148 |
| 2 | 306, 4074 |
| 3 | 153, 2037 |
| 51, 679 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 679 = 415548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/415548
Therefore, the GCF of Fractions 1533/612,9464/8148 is 7/415548
Least Common Multiple of 612,8148 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 612,8148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,8148) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(612,8148) x common factors =12 x 1 = 12
LCM(612,8148) = ( 612 × 8148 ) / 12
LCM(612,8148) = 4986576 / 12
LCM(612,8148) = 415548
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FAQs on GCF of Fractions of 1533/612, 9464/8148
1. What is the HCF of 1533,9464?
The HCF of 1533,9464 is 7
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 1533/612, 9464/8148?
Answer: GCF of Numerators as per given numbers 1533/612, 9464/8148 is
GCF of Numerators i.e. for 1533,9464 is 7
LCM of denominators i.e. for 612,8148 is 415548.
Thus, GCF of Fractions is 7/415548.Finally, GCF of Fractions for 1533/612, 9464/8148 is 7/415548.