GCF of 9748/322, 9701/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9748/322, 9701/597 i.e 1/192234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9748/322, 9701/597.
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 9748/322,9701/597?
Given fractions are 9748/322,9701/597
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 9748/322,9701/597, numerators are 9748,9701
Denominators are 322,597
The GCF of 9748,9701 is 1 .
LCM of 322,597 is 192234.
The greatest common factor of 9748/322,9701/597 = [GCF of 9748,9701]/[LCM of 322,597]= 1/192234
Therefore, the GCF of 9748/322,9701/597 is 1/192234.
To find the highest common factor of 9748,9701, 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 9701 are 1, 89, 109, 9701
The HCF of 9748,9701 is 1.
Lets's calculate GCF of 9748,9701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9748,9701 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 9701
:1,89,109,9701
Greatest Common Factor
We found the factors 9748,9701 . The biggest common factor number is the GCF number.
So the greatest common factor 9748,9701 is 1.
Lets's calculate LCM of 322,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 192234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192234
Therefore, the GCF of Fractions 9748/322,9701/597 is 1/192234
Least Common Multiple of 322,597 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 322,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,597) x common factors =1 x 1 = 1
LCM(322,597) = ( 322 × 597 ) / 1
LCM(322,597) = 192234 / 1
LCM(322,597) = 192234
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FAQs on GCF of Fractions of 9748/322, 9701/597
1. What is the HCF of 9748,9701?
The HCF of 9748,9701 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 9748/322, 9701/597?
Answer: GCF of Numerators as per given numbers 9748/322, 9701/597 is
GCF of Numerators i.e. for 9748,9701 is 1
LCM of denominators i.e. for 322,597 is 192234.
Thus, GCF of Fractions is 1/192234.Finally, GCF of Fractions for 9748/322, 9701/597 is 1/192234.