GCF of 9748/526, 1303/1585
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9748/526, 1303/1585 i.e 1/833710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9748/526, 1303/1585.
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 9748/526,1303/1585?
Given fractions are 9748/526,1303/1585
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 9748/526,1303/1585, numerators are 9748,1303
Denominators are 526,1585
The GCF of 9748,1303 is 1 .
LCM of 526,1585 is 833710.
The greatest common factor of 9748/526,1303/1585 = [GCF of 9748,1303]/[LCM of 526,1585]= 1/833710
Therefore, the GCF of 9748/526,1303/1585 is 1/833710.
To find the highest common factor of 9748,1303, we have to find the factors of both numbers and list the highest common factor.
The factors of 9748 are 1, 2, 4, 2437, 4874, 9748
The factors of 1303 are 1, 1303
The HCF of 9748,1303 is 1.
Lets's calculate GCF of 9748,1303
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9748,1303 By Matching Biggest Common Factor Method
Now, list down the factors of 9748
:1,2,4,2437,4874,9748
Now, list down the factors of 1303
:1,1303
Greatest Common Factor
We found the factors 9748,1303 . The biggest common factor number is the GCF number.
So the greatest common factor 9748,1303 is 1.
Lets's calculate LCM of 526,1585
Given numbers has no common factors except 1. So, there LCM is their product i.e 833710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/833710
Therefore, the GCF of Fractions 9748/526,1303/1585 is 1/833710
Least Common Multiple of 526,1585 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 526,1585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,1585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,1585) x common factors =1 x 1 = 1
LCM(526,1585) = ( 526 × 1585 ) / 1
LCM(526,1585) = 833710 / 1
LCM(526,1585) = 833710
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FAQs on GCF of Fractions of 9748/526, 1303/1585
1. What is the HCF of 9748,1303?
The HCF of 9748,1303 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 9748/526, 1303/1585?
Answer: GCF of Numerators as per given numbers 9748/526, 1303/1585 is
GCF of Numerators i.e. for 9748,1303 is 1
LCM of denominators i.e. for 526,1585 is 833710.
Thus, GCF of Fractions is 1/833710.Finally, GCF of Fractions for 9748/526, 1303/1585 is 1/833710.