GCF of 5149/413, 6107/7446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5149/413, 6107/7446 i.e 1/3075198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5149/413, 6107/7446.
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 5149/413,6107/7446?
Given fractions are 5149/413,6107/7446
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 5149/413,6107/7446, numerators are 5149,6107
Denominators are 413,7446
The GCF of 5149,6107 is 1 .
LCM of 413,7446 is 3075198.
The greatest common factor of 5149/413,6107/7446 = [GCF of 5149,6107]/[LCM of 413,7446]= 1/3075198
Therefore, the GCF of 5149/413,6107/7446 is 1/3075198.
To find the highest common factor of 5149,6107, we have to find the factors of both numbers and list the highest common factor.
The factors of 5149 are 1, 19, 271, 5149
The factors of 6107 are 1, 31, 197, 6107
The HCF of 5149,6107 is 1.
Lets's calculate GCF of 5149,6107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5149,6107 By Matching Biggest Common Factor Method
Now, list down the factors of 5149
:1,19,271,5149
Now, list down the factors of 6107
:1,31,197,6107
Greatest Common Factor
We found the factors 5149,6107 . The biggest common factor number is the GCF number.
So the greatest common factor 5149,6107 is 1.
Lets's calculate LCM of 413,7446
Given numbers has no common factors except 1. So, there LCM is their product i.e 3075198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3075198
Therefore, the GCF of Fractions 5149/413,6107/7446 is 1/3075198
Least Common Multiple of 413,7446 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 413,7446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,7446) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,7446) x common factors =1 x 1 = 1
LCM(413,7446) = ( 413 × 7446 ) / 1
LCM(413,7446) = 3075198 / 1
LCM(413,7446) = 3075198
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FAQs on GCF of Fractions of 5149/413, 6107/7446
1. What is the HCF of 5149,6107?
The HCF of 5149,6107 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 5149/413, 6107/7446?
Answer: GCF of Numerators as per given numbers 5149/413, 6107/7446 is
GCF of Numerators i.e. for 5149,6107 is 1
LCM of denominators i.e. for 413,7446 is 3075198.
Thus, GCF of Fractions is 1/3075198.Finally, GCF of Fractions for 5149/413, 6107/7446 is 1/3075198.