GCF of 4701/382, 4737/4749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4701/382, 4737/4749 i.e 3/1814118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4701/382, 4737/4749.
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 4701/382,4737/4749?
Given fractions are 4701/382,4737/4749
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 4701/382,4737/4749, numerators are 4701,4737
Denominators are 382,4749
The GCF of 4701,4737 is 3 .
LCM of 382,4749 is 1814118.
The greatest common factor of 4701/382,4737/4749 = [GCF of 4701,4737]/[LCM of 382,4749]= 3/1814118
Therefore, the GCF of 4701/382,4737/4749 is 3/1814118.
To find the highest common factor of 4701,4737, we have to find the factors of both numbers and list the highest common factor.
The factors of 4701 are 1, 3, 1567, 4701
The factors of 4737 are 1, 3, 1579, 4737
The HCF of 4701,4737 is 3.
Lets's calculate GCF of 4701,4737
| 3 | 4701, 4737 |
| 1567, 1579 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4701,4737 By Matching Biggest Common Factor Method
Now, list down the factors of 4701
:1,3,1567,4701
Now, list down the factors of 4737
:1,3,1579,4737
Greatest Common Factor
We found the factors 4701,4737 . The biggest common factor number is the GCF number.
So the greatest common factor 4701,4737 is 3.
Lets's calculate LCM of 382,4749
Given numbers has no common factors except 1. So, there LCM is their product i.e 1814118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1814118
Therefore, the GCF of Fractions 4701/382,4737/4749 is 3/1814118
Least Common Multiple of 382,4749 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 382,4749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,4749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,4749) x common factors =1 x 1 = 1
LCM(382,4749) = ( 382 × 4749 ) / 1
LCM(382,4749) = 1814118 / 1
LCM(382,4749) = 1814118
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4701/382, 4737/4749
1. What is the HCF of 4701,4737?
The HCF of 4701,4737 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 4701/382, 4737/4749?
Answer: GCF of Numerators as per given numbers 4701/382, 4737/4749 is
GCF of Numerators i.e. for 4701,4737 is 3
LCM of denominators i.e. for 382,4749 is 1814118.
Thus, GCF of Fractions is 3/1814118.Finally, GCF of Fractions for 4701/382, 4737/4749 is 3/1814118.