GCF of 9654/135, 1663/9596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9654/135, 1663/9596 i.e 1/1295460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9654/135, 1663/9596.
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 9654/135,1663/9596?
Given fractions are 9654/135,1663/9596
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 9654/135,1663/9596, numerators are 9654,1663
Denominators are 135,9596
The GCF of 9654,1663 is 1 .
LCM of 135,9596 is 1295460.
The greatest common factor of 9654/135,1663/9596 = [GCF of 9654,1663]/[LCM of 135,9596]= 1/1295460
Therefore, the GCF of 9654/135,1663/9596 is 1/1295460.
To find the highest common factor of 9654,1663, we have to find the factors of both numbers and list the highest common factor.
The factors of 9654 are 1, 2, 3, 6, 1609, 3218, 4827, 9654
The factors of 1663 are 1, 1663
The HCF of 9654,1663 is 1.
Lets's calculate GCF of 9654,1663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9654,1663 By Matching Biggest Common Factor Method
Now, list down the factors of 9654
:1,2,3,6,1609,3218,4827,9654
Now, list down the factors of 1663
:1,1663
Greatest Common Factor
We found the factors 9654,1663 . The biggest common factor number is the GCF number.
So the greatest common factor 9654,1663 is 1.
Lets's calculate LCM of 135,9596
Given numbers has no common factors except 1. So, there LCM is their product i.e 1295460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1295460
Therefore, the GCF of Fractions 9654/135,1663/9596 is 1/1295460
Least Common Multiple of 135,9596 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 135,9596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,9596) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,9596) x common factors =1 x 1 = 1
LCM(135,9596) = ( 135 × 9596 ) / 1
LCM(135,9596) = 1295460 / 1
LCM(135,9596) = 1295460
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FAQs on GCF of Fractions of 9654/135, 1663/9596
1. What is the HCF of 9654,1663?
The HCF of 9654,1663 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 9654/135, 1663/9596?
Answer: GCF of Numerators as per given numbers 9654/135, 1663/9596 is
GCF of Numerators i.e. for 9654,1663 is 1
LCM of denominators i.e. for 135,9596 is 1295460.
Thus, GCF of Fractions is 1/1295460.Finally, GCF of Fractions for 9654/135, 1663/9596 is 1/1295460.