GCF of 4749/612, 7147/591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4749/612, 7147/591 i.e 1/120564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4749/612, 7147/591.
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 4749/612,7147/591?
Given fractions are 4749/612,7147/591
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 4749/612,7147/591, numerators are 4749,7147
Denominators are 612,591
The GCF of 4749,7147 is 1 .
LCM of 612,591 is 120564.
The greatest common factor of 4749/612,7147/591 = [GCF of 4749,7147]/[LCM of 612,591]= 1/120564
Therefore, the GCF of 4749/612,7147/591 is 1/120564.
To find the highest common factor of 4749,7147, we have to find the factors of both numbers and list the highest common factor.
The factors of 4749 are 1, 3, 1583, 4749
The factors of 7147 are 1, 7, 1021, 7147
The HCF of 4749,7147 is 1.
Lets's calculate GCF of 4749,7147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4749,7147 By Matching Biggest Common Factor Method
Now, list down the factors of 4749
:1,3,1583,4749
Now, list down the factors of 7147
:1,7,1021,7147
Greatest Common Factor
We found the factors 4749,7147 . The biggest common factor number is the GCF number.
So the greatest common factor 4749,7147 is 1.
Lets's calculate LCM of 612,591
| 3 | 612, 591 |
| 204, 197 |
∴ So the LCM of the given numbers is 3 x 204 x 197 = 120564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120564
Therefore, the GCF of Fractions 4749/612,7147/591 is 1/120564
Least Common Multiple of 612,591 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 612,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(612,591) x common factors =3 x 1 = 3
LCM(612,591) = ( 612 × 591 ) / 3
LCM(612,591) = 361692 / 3
LCM(612,591) = 120564
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FAQs on GCF of Fractions of 4749/612, 7147/591
1. What is the HCF of 4749,7147?
The HCF of 4749,7147 is 1
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 4749/612, 7147/591?
Answer: GCF of Numerators as per given numbers 4749/612, 7147/591 is
GCF of Numerators i.e. for 4749,7147 is 1
LCM of denominators i.e. for 612,591 is 120564.
Thus, GCF of Fractions is 1/120564.Finally, GCF of Fractions for 4749/612, 7147/591 is 1/120564.