GCF of 6296/949, 8314/5071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6296/949, 8314/5071 i.e 2/4812379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6296/949, 8314/5071.
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 6296/949,8314/5071?
Given fractions are 6296/949,8314/5071
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 6296/949,8314/5071, numerators are 6296,8314
Denominators are 949,5071
The GCF of 6296,8314 is 2 .
LCM of 949,5071 is 4812379.
The greatest common factor of 6296/949,8314/5071 = [GCF of 6296,8314]/[LCM of 949,5071]= 2/4812379
Therefore, the GCF of 6296/949,8314/5071 is 2/4812379.
To find the highest common factor of 6296,8314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6296 are 1, 2, 4, 8, 787, 1574, 3148, 6296
The factors of 8314 are 1, 2, 4157, 8314
The HCF of 6296,8314 is 2.
Lets's calculate GCF of 6296,8314
| 2 | 6296, 8314 |
| 3148, 4157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6296,8314 By Matching Biggest Common Factor Method
Now, list down the factors of 6296
:1,2,4,8,787,1574,3148,6296
Now, list down the factors of 8314
:1,2,4157,8314
Greatest Common Factor
We found the factors 6296,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 6296,8314 is 2.
Lets's calculate LCM of 949,5071
Given numbers has no common factors except 1. So, there LCM is their product i.e 4812379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4812379
Therefore, the GCF of Fractions 6296/949,8314/5071 is 2/4812379
Least Common Multiple of 949,5071 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 949,5071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,5071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,5071) x common factors =1 x 1 = 1
LCM(949,5071) = ( 949 × 5071 ) / 1
LCM(949,5071) = 4812379 / 1
LCM(949,5071) = 4812379
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FAQs on GCF of Fractions of 6296/949, 8314/5071
1. What is the HCF of 6296,8314?
The HCF of 6296,8314 is 2
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 6296/949, 8314/5071?
Answer: GCF of Numerators as per given numbers 6296/949, 8314/5071 is
GCF of Numerators i.e. for 6296,8314 is 2
LCM of denominators i.e. for 949,5071 is 4812379.
Thus, GCF of Fractions is 2/4812379.Finally, GCF of Fractions for 6296/949, 8314/5071 is 2/4812379.