GCF of 4056/721, 8450/5271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4056/721, 8450/5271 i.e 338/542913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4056/721, 8450/5271.
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 4056/721,8450/5271?
Given fractions are 4056/721,8450/5271
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 4056/721,8450/5271, numerators are 4056,8450
Denominators are 721,5271
The GCF of 4056,8450 is 338 .
LCM of 721,5271 is 542913.
The greatest common factor of 4056/721,8450/5271 = [GCF of 4056,8450]/[LCM of 721,5271]= 338/542913
Therefore, the GCF of 4056/721,8450/5271 is 338/542913.
To find the highest common factor of 4056,8450, we have to find the factors of both numbers and list the highest common factor.
The factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The HCF of 4056,8450 is 338.
Lets's calculate GCF of 4056,8450
| 2 | 4056, 8450 |
| 13 | 2028, 4225 |
| 13 | 156, 325 |
| 12, 25 |
∴ So the GCF of the given numbers is 2 x 13 x 13 = 338
Greatest Common Factor of 4056,8450 By Matching Biggest Common Factor Method
Now, list down the factors of 4056
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Greatest Common Factor
We found the factors 4056,8450 . The biggest common factor number is the GCF number.
So the greatest common factor 4056,8450 is 338.
Lets's calculate LCM of 721,5271
| 7 | 721, 5271 |
| 103, 753 |
∴ So the LCM of the given numbers is 7 x 103 x 753 = 542913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 338/542913
Therefore, the GCF of Fractions 4056/721,8450/5271 is 338/542913
Least Common Multiple of 721,5271 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 721,5271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,5271) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(721,5271) x common factors =7 x 1 = 7
LCM(721,5271) = ( 721 × 5271 ) / 7
LCM(721,5271) = 3800391 / 7
LCM(721,5271) = 542913
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4056/721, 8450/5271
1. What is the HCF of 4056,8450?
The HCF of 4056,8450 is 338
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 4056/721, 8450/5271?
Answer: GCF of Numerators as per given numbers 4056/721, 8450/5271 is
GCF of Numerators i.e. for 4056,8450 is 338
LCM of denominators i.e. for 721,5271 is 542913.
Thus, GCF of Fractions is 338/542913.Finally, GCF of Fractions for 4056/721, 8450/5271 is 338/542913.