GCF of 5991/910, 4737/1549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5991/910, 4737/1549 i.e 3/1409590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5991/910, 4737/1549.
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 5991/910,4737/1549?
Given fractions are 5991/910,4737/1549
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 5991/910,4737/1549, numerators are 5991,4737
Denominators are 910,1549
The GCF of 5991,4737 is 3 .
LCM of 910,1549 is 1409590.
The greatest common factor of 5991/910,4737/1549 = [GCF of 5991,4737]/[LCM of 910,1549]= 3/1409590
Therefore, the GCF of 5991/910,4737/1549 is 3/1409590.
To find the highest common factor of 5991,4737, we have to find the factors of both numbers and list the highest common factor.
The factors of 5991 are 1, 3, 1997, 5991
The factors of 4737 are 1, 3, 1579, 4737
The HCF of 5991,4737 is 3.
Lets's calculate GCF of 5991,4737
| 3 | 5991, 4737 |
| 1997, 1579 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5991,4737 By Matching Biggest Common Factor Method
Now, list down the factors of 5991
:1,3,1997,5991
Now, list down the factors of 4737
:1,3,1579,4737
Greatest Common Factor
We found the factors 5991,4737 . The biggest common factor number is the GCF number.
So the greatest common factor 5991,4737 is 3.
Lets's calculate LCM of 910,1549
Given numbers has no common factors except 1. So, there LCM is their product i.e 1409590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1409590
Therefore, the GCF of Fractions 5991/910,4737/1549 is 3/1409590
Least Common Multiple of 910,1549 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 910,1549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,1549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,1549) x common factors =1 x 1 = 1
LCM(910,1549) = ( 910 × 1549 ) / 1
LCM(910,1549) = 1409590 / 1
LCM(910,1549) = 1409590
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FAQs on GCF of Fractions of 5991/910, 4737/1549
1. What is the HCF of 5991,4737?
The HCF of 5991,4737 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 5991/910, 4737/1549?
Answer: GCF of Numerators as per given numbers 5991/910, 4737/1549 is
GCF of Numerators i.e. for 5991,4737 is 3
LCM of denominators i.e. for 910,1549 is 1409590.
Thus, GCF of Fractions is 3/1409590.Finally, GCF of Fractions for 5991/910, 4737/1549 is 3/1409590.