GCF of 4747/424, 7461/1418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4747/424, 7461/1418 i.e 1/300616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4747/424, 7461/1418.
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 4747/424,7461/1418?
Given fractions are 4747/424,7461/1418
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 4747/424,7461/1418, numerators are 4747,7461
Denominators are 424,1418
The GCF of 4747,7461 is 1 .
LCM of 424,1418 is 300616.
The greatest common factor of 4747/424,7461/1418 = [GCF of 4747,7461]/[LCM of 424,1418]= 1/300616
Therefore, the GCF of 4747/424,7461/1418 is 1/300616.
To find the highest common factor of 4747,7461, we have to find the factors of both numbers and list the highest common factor.
The factors of 4747 are 1, 47, 101, 4747
The factors of 7461 are 1, 3, 9, 829, 2487, 7461
The HCF of 4747,7461 is 1.
Lets's calculate GCF of 4747,7461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4747,7461 By Matching Biggest Common Factor Method
Now, list down the factors of 4747
:1,47,101,4747
Now, list down the factors of 7461
:1,3,9,829,2487,7461
Greatest Common Factor
We found the factors 4747,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 4747,7461 is 1.
Lets's calculate LCM of 424,1418
| 2 | 424, 1418 |
| 212, 709 |
∴ So the LCM of the given numbers is 2 x 212 x 709 = 300616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300616
Therefore, the GCF of Fractions 4747/424,7461/1418 is 1/300616
Least Common Multiple of 424,1418 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 424,1418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,1418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,1418) x common factors =2 x 1 = 2
LCM(424,1418) = ( 424 × 1418 ) / 2
LCM(424,1418) = 601232 / 2
LCM(424,1418) = 300616
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4747/424, 7461/1418
1. What is the HCF of 4747,7461?
The HCF of 4747,7461 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 4747/424, 7461/1418?
Answer: GCF of Numerators as per given numbers 4747/424, 7461/1418 is
GCF of Numerators i.e. for 4747,7461 is 1
LCM of denominators i.e. for 424,1418 is 300616.
Thus, GCF of Fractions is 1/300616.Finally, GCF of Fractions for 4747/424, 7461/1418 is 1/300616.