GCF of 4926/903, 9588/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4926/903, 9588/159 i.e 6/47859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4926/903, 9588/159.
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 4926/903,9588/159?
Given fractions are 4926/903,9588/159
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 4926/903,9588/159, numerators are 4926,9588
Denominators are 903,159
The GCF of 4926,9588 is 6 .
LCM of 903,159 is 47859.
The greatest common factor of 4926/903,9588/159 = [GCF of 4926,9588]/[LCM of 903,159]= 6/47859
Therefore, the GCF of 4926/903,9588/159 is 6/47859.
To find the highest common factor of 4926,9588, we have to find the factors of both numbers and list the highest common factor.
The factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926
The factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
The HCF of 4926,9588 is 6.
Lets's calculate GCF of 4926,9588
| 2 | 4926, 9588 |
| 3 | 2463, 4794 |
| 821, 1598 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4926,9588 By Matching Biggest Common Factor Method
Now, list down the factors of 4926
:1,2,3,6,821,1642,2463,4926
Now, list down the factors of 9588
:1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Greatest Common Factor
We found the factors 4926,9588 . The biggest common factor number is the GCF number.
So the greatest common factor 4926,9588 is 6.
Lets's calculate LCM of 903,159
| 3 | 903, 159 |
| 301, 53 |
∴ So the LCM of the given numbers is 3 x 301 x 53 = 47859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/47859
Therefore, the GCF of Fractions 4926/903,9588/159 is 6/47859
Least Common Multiple of 903,159 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 903,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,159) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,159) x common factors =3 x 1 = 3
LCM(903,159) = ( 903 × 159 ) / 3
LCM(903,159) = 143577 / 3
LCM(903,159) = 47859
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FAQs on GCF of Fractions of 4926/903, 9588/159
1. What is the HCF of 4926,9588?
The HCF of 4926,9588 is 6
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 4926/903, 9588/159?
Answer: GCF of Numerators as per given numbers 4926/903, 9588/159 is
GCF of Numerators i.e. for 4926,9588 is 6
LCM of denominators i.e. for 903,159 is 47859.
Thus, GCF of Fractions is 6/47859.Finally, GCF of Fractions for 4926/903, 9588/159 is 6/47859.