GCF of 6716/378, 1298/2167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6716/378, 1298/2167 i.e 2/819126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6716/378, 1298/2167.
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 6716/378,1298/2167?
Given fractions are 6716/378,1298/2167
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 6716/378,1298/2167, numerators are 6716,1298
Denominators are 378,2167
The GCF of 6716,1298 is 2 .
LCM of 378,2167 is 819126.
The greatest common factor of 6716/378,1298/2167 = [GCF of 6716,1298]/[LCM of 378,2167]= 2/819126
Therefore, the GCF of 6716/378,1298/2167 is 2/819126.
To find the highest common factor of 6716,1298, we have to find the factors of both numbers and list the highest common factor.
The factors of 6716 are 1, 2, 4, 23, 46, 73, 92, 146, 292, 1679, 3358, 6716
The factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298
The HCF of 6716,1298 is 2.
Lets's calculate GCF of 6716,1298
| 2 | 6716, 1298 |
| 3358, 649 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6716,1298 By Matching Biggest Common Factor Method
Now, list down the factors of 6716
:1,2,4,23,46,73,92,146,292,1679,3358,6716
Now, list down the factors of 1298
:1,2,11,22,59,118,649,1298
Greatest Common Factor
We found the factors 6716,1298 . The biggest common factor number is the GCF number.
So the greatest common factor 6716,1298 is 2.
Lets's calculate LCM of 378,2167
Given numbers has no common factors except 1. So, there LCM is their product i.e 819126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/819126
Therefore, the GCF of Fractions 6716/378,1298/2167 is 2/819126
Least Common Multiple of 378,2167 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 378,2167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,2167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,2167) x common factors =1 x 1 = 1
LCM(378,2167) = ( 378 × 2167 ) / 1
LCM(378,2167) = 819126 / 1
LCM(378,2167) = 819126
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FAQs on GCF of Fractions of 6716/378, 1298/2167
1. What is the HCF of 6716,1298?
The HCF of 6716,1298 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 6716/378, 1298/2167?
Answer: GCF of Numerators as per given numbers 6716/378, 1298/2167 is
GCF of Numerators i.e. for 6716,1298 is 2
LCM of denominators i.e. for 378,2167 is 819126.
Thus, GCF of Fractions is 2/819126.Finally, GCF of Fractions for 6716/378, 1298/2167 is 2/819126.