GCF of 6035/198, 5463/6982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6035/198, 5463/6982 i.e 1/691218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6035/198, 5463/6982.
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 6035/198,5463/6982?
Given fractions are 6035/198,5463/6982
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 6035/198,5463/6982, numerators are 6035,5463
Denominators are 198,6982
The GCF of 6035,5463 is 1 .
LCM of 198,6982 is 691218.
The greatest common factor of 6035/198,5463/6982 = [GCF of 6035,5463]/[LCM of 198,6982]= 1/691218
Therefore, the GCF of 6035/198,5463/6982 is 1/691218.
To find the highest common factor of 6035,5463, we have to find the factors of both numbers and list the highest common factor.
The factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035
The factors of 5463 are 1, 3, 9, 607, 1821, 5463
The HCF of 6035,5463 is 1.
Lets's calculate GCF of 6035,5463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6035,5463 By Matching Biggest Common Factor Method
Now, list down the factors of 6035
:1,5,17,71,85,355,1207,6035
Now, list down the factors of 5463
:1,3,9,607,1821,5463
Greatest Common Factor
We found the factors 6035,5463 . The biggest common factor number is the GCF number.
So the greatest common factor 6035,5463 is 1.
Lets's calculate LCM of 198,6982
| 2 | 198, 6982 |
| 99, 3491 |
∴ So the LCM of the given numbers is 2 x 99 x 3491 = 691218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/691218
Therefore, the GCF of Fractions 6035/198,5463/6982 is 1/691218
Least Common Multiple of 198,6982 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 198,6982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,6982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,6982) x common factors =2 x 1 = 2
LCM(198,6982) = ( 198 × 6982 ) / 2
LCM(198,6982) = 1382436 / 2
LCM(198,6982) = 691218
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FAQs on GCF of Fractions of 6035/198, 5463/6982
1. What is the HCF of 6035,5463?
The HCF of 6035,5463 is 1
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 6035/198, 5463/6982?
Answer: GCF of Numerators as per given numbers 6035/198, 5463/6982 is
GCF of Numerators i.e. for 6035,5463 is 1
LCM of denominators i.e. for 198,6982 is 691218.
Thus, GCF of Fractions is 1/691218.Finally, GCF of Fractions for 6035/198, 5463/6982 is 1/691218.