GCF of 4718/721, 7911/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4718/721, 7911/140 i.e 1/14420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4718/721, 7911/140.
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 4718/721,7911/140?
Given fractions are 4718/721,7911/140
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 4718/721,7911/140, numerators are 4718,7911
Denominators are 721,140
The GCF of 4718,7911 is 1 .
LCM of 721,140 is 14420.
The greatest common factor of 4718/721,7911/140 = [GCF of 4718,7911]/[LCM of 721,140]= 1/14420
Therefore, the GCF of 4718/721,7911/140 is 1/14420.
To find the highest common factor of 4718,7911, we have to find the factors of both numbers and list the highest common factor.
The factors of 4718 are 1, 2, 7, 14, 337, 674, 2359, 4718
The factors of 7911 are 1, 3, 9, 27, 293, 879, 2637, 7911
The HCF of 4718,7911 is 1.
Lets's calculate GCF of 4718,7911
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4718,7911 By Matching Biggest Common Factor Method
Now, list down the factors of 4718
:1,2,7,14,337,674,2359,4718
Now, list down the factors of 7911
:1,3,9,27,293,879,2637,7911
Greatest Common Factor
We found the factors 4718,7911 . The biggest common factor number is the GCF number.
So the greatest common factor 4718,7911 is 1.
Lets's calculate LCM of 721,140
| 7 | 721, 140 |
| 103, 20 |
∴ So the LCM of the given numbers is 7 x 103 x 20 = 14420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14420
Therefore, the GCF of Fractions 4718/721,7911/140 is 1/14420
Least Common Multiple of 721,140 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 721,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,140) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(721,140) x common factors =7 x 1 = 7
LCM(721,140) = ( 721 × 140 ) / 7
LCM(721,140) = 100940 / 7
LCM(721,140) = 14420
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FAQs on GCF of Fractions of 4718/721, 7911/140
1. What is the HCF of 4718,7911?
The HCF of 4718,7911 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 4718/721, 7911/140?
Answer: GCF of Numerators as per given numbers 4718/721, 7911/140 is
GCF of Numerators i.e. for 4718,7911 is 1
LCM of denominators i.e. for 721,140 is 14420.
Thus, GCF of Fractions is 1/14420.Finally, GCF of Fractions for 4718/721, 7911/140 is 1/14420.