GCF of 131/442, 9928/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 131/442, 9928/207 i.e 1/91494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 131/442, 9928/207.
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 131/442,9928/207?
Given fractions are 131/442,9928/207
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 131/442,9928/207, numerators are 131,9928
Denominators are 442,207
The GCF of 131,9928 is 1 .
LCM of 442,207 is 91494.
The greatest common factor of 131/442,9928/207 = [GCF of 131,9928]/[LCM of 442,207]= 1/91494
Therefore, the GCF of 131/442,9928/207 is 1/91494.
To find the highest common factor of 131,9928, we have to find the factors of both numbers and list the highest common factor.
The factors of 131 are 1, 131
The factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928
The HCF of 131,9928 is 1.
Lets's calculate GCF of 131,9928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 131,9928 By Matching Biggest Common Factor Method
Now, list down the factors of 131
:1,131
Now, list down the factors of 9928
:1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928
Greatest Common Factor
We found the factors 131,9928 . The biggest common factor number is the GCF number.
So the greatest common factor 131,9928 is 1.
Lets's calculate LCM of 442,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 91494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91494
Therefore, the GCF of Fractions 131/442,9928/207 is 1/91494
Least Common Multiple of 442,207 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 442,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,207) x common factors =1 x 1 = 1
LCM(442,207) = ( 442 × 207 ) / 1
LCM(442,207) = 91494 / 1
LCM(442,207) = 91494
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FAQs on GCF of Fractions of 131/442, 9928/207
1. What is the HCF of 131,9928?
The HCF of 131,9928 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 131/442, 9928/207?
Answer: GCF of Numerators as per given numbers 131/442, 9928/207 is
GCF of Numerators i.e. for 131,9928 is 1
LCM of denominators i.e. for 442,207 is 91494.
Thus, GCF of Fractions is 1/91494.Finally, GCF of Fractions for 131/442, 9928/207 is 1/91494.