GCF of 5298/980, 7167/6191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5298/980, 7167/6191 i.e 3/6067180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5298/980, 7167/6191.
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 5298/980,7167/6191?
Given fractions are 5298/980,7167/6191
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 5298/980,7167/6191, numerators are 5298,7167
Denominators are 980,6191
The GCF of 5298,7167 is 3 .
LCM of 980,6191 is 6067180.
The greatest common factor of 5298/980,7167/6191 = [GCF of 5298,7167]/[LCM of 980,6191]= 3/6067180
Therefore, the GCF of 5298/980,7167/6191 is 3/6067180.
To find the highest common factor of 5298,7167, we have to find the factors of both numbers and list the highest common factor.
The factors of 5298 are 1, 2, 3, 6, 883, 1766, 2649, 5298
The factors of 7167 are 1, 3, 2389, 7167
The HCF of 5298,7167 is 3.
Lets's calculate GCF of 5298,7167
| 3 | 5298, 7167 |
| 1766, 2389 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5298,7167 By Matching Biggest Common Factor Method
Now, list down the factors of 5298
:1,2,3,6,883,1766,2649,5298
Now, list down the factors of 7167
:1,3,2389,7167
Greatest Common Factor
We found the factors 5298,7167 . The biggest common factor number is the GCF number.
So the greatest common factor 5298,7167 is 3.
Lets's calculate LCM of 980,6191
Given numbers has no common factors except 1. So, there LCM is their product i.e 6067180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6067180
Therefore, the GCF of Fractions 5298/980,7167/6191 is 3/6067180
Least Common Multiple of 980,6191 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 980,6191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,6191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(980,6191) x common factors =1 x 1 = 1
LCM(980,6191) = ( 980 × 6191 ) / 1
LCM(980,6191) = 6067180 / 1
LCM(980,6191) = 6067180
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FAQs on GCF of Fractions of 5298/980, 7167/6191
1. What is the HCF of 5298,7167?
The HCF of 5298,7167 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 5298/980, 7167/6191?
Answer: GCF of Numerators as per given numbers 5298/980, 7167/6191 is
GCF of Numerators i.e. for 5298,7167 is 3
LCM of denominators i.e. for 980,6191 is 6067180.
Thus, GCF of Fractions is 3/6067180.Finally, GCF of Fractions for 5298/980, 7167/6191 is 3/6067180.