GCF of 9689/428, 7171/359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9689/428, 7171/359 i.e 1/153652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9689/428, 7171/359.
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 9689/428,7171/359?
Given fractions are 9689/428,7171/359
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 9689/428,7171/359, numerators are 9689,7171
Denominators are 428,359
The GCF of 9689,7171 is 1 .
LCM of 428,359 is 153652.
The greatest common factor of 9689/428,7171/359 = [GCF of 9689,7171]/[LCM of 428,359]= 1/153652
Therefore, the GCF of 9689/428,7171/359 is 1/153652.
To find the highest common factor of 9689,7171, we have to find the factors of both numbers and list the highest common factor.
The factors of 9689 are 1, 9689
The factors of 7171 are 1, 71, 101, 7171
The HCF of 9689,7171 is 1.
Lets's calculate GCF of 9689,7171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9689,7171 By Matching Biggest Common Factor Method
Now, list down the factors of 9689
:1,9689
Now, list down the factors of 7171
:1,71,101,7171
Greatest Common Factor
We found the factors 9689,7171 . The biggest common factor number is the GCF number.
So the greatest common factor 9689,7171 is 1.
Lets's calculate LCM of 428,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 153652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153652
Therefore, the GCF of Fractions 9689/428,7171/359 is 1/153652
Least Common Multiple of 428,359 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 428,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,359) x common factors =1 x 1 = 1
LCM(428,359) = ( 428 × 359 ) / 1
LCM(428,359) = 153652 / 1
LCM(428,359) = 153652
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FAQs on GCF of Fractions of 9689/428, 7171/359
1. What is the HCF of 9689,7171?
The HCF of 9689,7171 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 9689/428, 7171/359?
Answer: GCF of Numerators as per given numbers 9689/428, 7171/359 is
GCF of Numerators i.e. for 9689,7171 is 1
LCM of denominators i.e. for 428,359 is 153652.
Thus, GCF of Fractions is 1/153652.Finally, GCF of Fractions for 9689/428, 7171/359 is 1/153652.