GCF of 4731/616, 4113/786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4731/616, 4113/786 i.e 3/242088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4731/616, 4113/786.
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 4731/616,4113/786?
Given fractions are 4731/616,4113/786
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 4731/616,4113/786, numerators are 4731,4113
Denominators are 616,786
The GCF of 4731,4113 is 3 .
LCM of 616,786 is 242088.
The greatest common factor of 4731/616,4113/786 = [GCF of 4731,4113]/[LCM of 616,786]= 3/242088
Therefore, the GCF of 4731/616,4113/786 is 3/242088.
To find the highest common factor of 4731,4113, we have to find the factors of both numbers and list the highest common factor.
The factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731
The factors of 4113 are 1, 3, 9, 457, 1371, 4113
The HCF of 4731,4113 is 3.
Lets's calculate GCF of 4731,4113
| 3 | 4731, 4113 |
| 1577, 1371 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4731,4113 By Matching Biggest Common Factor Method
Now, list down the factors of 4731
:1,3,19,57,83,249,1577,4731
Now, list down the factors of 4113
:1,3,9,457,1371,4113
Greatest Common Factor
We found the factors 4731,4113 . The biggest common factor number is the GCF number.
So the greatest common factor 4731,4113 is 3.
Lets's calculate LCM of 616,786
| 2 | 616, 786 |
| 308, 393 |
∴ So the LCM of the given numbers is 2 x 308 x 393 = 242088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/242088
Therefore, the GCF of Fractions 4731/616,4113/786 is 3/242088
Least Common Multiple of 616,786 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 616,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,786) x common factors =2 x 1 = 2
LCM(616,786) = ( 616 × 786 ) / 2
LCM(616,786) = 484176 / 2
LCM(616,786) = 242088
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4731/616, 4113/786
1. What is the HCF of 4731,4113?
The HCF of 4731,4113 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 4731/616, 4113/786?
Answer: GCF of Numerators as per given numbers 4731/616, 4113/786 is
GCF of Numerators i.e. for 4731,4113 is 3
LCM of denominators i.e. for 616,786 is 242088.
Thus, GCF of Fractions is 3/242088.Finally, GCF of Fractions for 4731/616, 4113/786 is 3/242088.