GCF of 5198/345, 7675/2991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5198/345, 7675/2991 i.e 1/343965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5198/345, 7675/2991.
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 5198/345,7675/2991?
Given fractions are 5198/345,7675/2991
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 5198/345,7675/2991, numerators are 5198,7675
Denominators are 345,2991
The GCF of 5198,7675 is 1 .
LCM of 345,2991 is 343965.
The greatest common factor of 5198/345,7675/2991 = [GCF of 5198,7675]/[LCM of 345,2991]= 1/343965
Therefore, the GCF of 5198/345,7675/2991 is 1/343965.
To find the highest common factor of 5198,7675, we have to find the factors of both numbers and list the highest common factor.
The factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198
The factors of 7675 are 1, 5, 25, 307, 1535, 7675
The HCF of 5198,7675 is 1.
Lets's calculate GCF of 5198,7675
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5198,7675 By Matching Biggest Common Factor Method
Now, list down the factors of 5198
:1,2,23,46,113,226,2599,5198
Now, list down the factors of 7675
:1,5,25,307,1535,7675
Greatest Common Factor
We found the factors 5198,7675 . The biggest common factor number is the GCF number.
So the greatest common factor 5198,7675 is 1.
Lets's calculate LCM of 345,2991
| 3 | 345, 2991 |
| 115, 997 |
∴ So the LCM of the given numbers is 3 x 115 x 997 = 343965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343965
Therefore, the GCF of Fractions 5198/345,7675/2991 is 1/343965
Least Common Multiple of 345,2991 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 345,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,2991) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,2991) x common factors =3 x 1 = 3
LCM(345,2991) = ( 345 × 2991 ) / 3
LCM(345,2991) = 1031895 / 3
LCM(345,2991) = 343965
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FAQs on GCF of Fractions of 5198/345, 7675/2991
1. What is the HCF of 5198,7675?
The HCF of 5198,7675 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 5198/345, 7675/2991?
Answer: GCF of Numerators as per given numbers 5198/345, 7675/2991 is
GCF of Numerators i.e. for 5198,7675 is 1
LCM of denominators i.e. for 345,2991 is 343965.
Thus, GCF of Fractions is 1/343965.Finally, GCF of Fractions for 5198/345, 7675/2991 is 1/343965.