GCF of 6198/758, 5314/7045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6198/758, 5314/7045 i.e 2/5340110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6198/758, 5314/7045.
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 6198/758,5314/7045?
Given fractions are 6198/758,5314/7045
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 6198/758,5314/7045, numerators are 6198,5314
Denominators are 758,7045
The GCF of 6198,5314 is 2 .
LCM of 758,7045 is 5340110.
The greatest common factor of 6198/758,5314/7045 = [GCF of 6198,5314]/[LCM of 758,7045]= 2/5340110
Therefore, the GCF of 6198/758,5314/7045 is 2/5340110.
To find the highest common factor of 6198,5314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6198 are 1, 2, 3, 6, 1033, 2066, 3099, 6198
The factors of 5314 are 1, 2, 2657, 5314
The HCF of 6198,5314 is 2.
Lets's calculate GCF of 6198,5314
| 2 | 6198, 5314 |
| 3099, 2657 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6198,5314 By Matching Biggest Common Factor Method
Now, list down the factors of 6198
:1,2,3,6,1033,2066,3099,6198
Now, list down the factors of 5314
:1,2,2657,5314
Greatest Common Factor
We found the factors 6198,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 6198,5314 is 2.
Lets's calculate LCM of 758,7045
Given numbers has no common factors except 1. So, there LCM is their product i.e 5340110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5340110
Therefore, the GCF of Fractions 6198/758,5314/7045 is 2/5340110
Least Common Multiple of 758,7045 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 758,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,7045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,7045) x common factors =1 x 1 = 1
LCM(758,7045) = ( 758 × 7045 ) / 1
LCM(758,7045) = 5340110 / 1
LCM(758,7045) = 5340110
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FAQs on GCF of Fractions of 6198/758, 5314/7045
1. What is the HCF of 6198,5314?
The HCF of 6198,5314 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 6198/758, 5314/7045?
Answer: GCF of Numerators as per given numbers 6198/758, 5314/7045 is
GCF of Numerators i.e. for 6198,5314 is 2
LCM of denominators i.e. for 758,7045 is 5340110.
Thus, GCF of Fractions is 2/5340110.Finally, GCF of Fractions for 6198/758, 5314/7045 is 2/5340110.