GCF of 5334/492, 4509/1824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5334/492, 4509/1824 i.e 3/74784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5334/492, 4509/1824.
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 5334/492,4509/1824?
Given fractions are 5334/492,4509/1824
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 5334/492,4509/1824, numerators are 5334,4509
Denominators are 492,1824
The GCF of 5334,4509 is 3 .
LCM of 492,1824 is 74784.
The greatest common factor of 5334/492,4509/1824 = [GCF of 5334,4509]/[LCM of 492,1824]= 3/74784
Therefore, the GCF of 5334/492,4509/1824 is 3/74784.
To find the highest common factor of 5334,4509, we have to find the factors of both numbers and list the highest common factor.
The factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334
The factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509
The HCF of 5334,4509 is 3.
Lets's calculate GCF of 5334,4509
| 3 | 5334, 4509 |
| 1778, 1503 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5334,4509 By Matching Biggest Common Factor Method
Now, list down the factors of 5334
:1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334
Now, list down the factors of 4509
:1,3,9,27,167,501,1503,4509
Greatest Common Factor
We found the factors 5334,4509 . The biggest common factor number is the GCF number.
So the greatest common factor 5334,4509 is 3.
Lets's calculate LCM of 492,1824
| 2 | 492, 1824 |
| 2 | 246, 912 |
| 3 | 123, 456 |
| 41, 152 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 152 = 74784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/74784
Therefore, the GCF of Fractions 5334/492,4509/1824 is 3/74784
Least Common Multiple of 492,1824 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 492,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,1824) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(492,1824) x common factors =12 x 1 = 12
LCM(492,1824) = ( 492 × 1824 ) / 12
LCM(492,1824) = 897408 / 12
LCM(492,1824) = 74784
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FAQs on GCF of Fractions of 5334/492, 4509/1824
1. What is the HCF of 5334,4509?
The HCF of 5334,4509 is 3
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 5334/492, 4509/1824?
Answer: GCF of Numerators as per given numbers 5334/492, 4509/1824 is
GCF of Numerators i.e. for 5334,4509 is 3
LCM of denominators i.e. for 492,1824 is 74784.
Thus, GCF of Fractions is 3/74784.Finally, GCF of Fractions for 5334/492, 4509/1824 is 3/74784.