GCF of 9631/601, 8816/6502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9631/601, 8816/6502 i.e 1/3907702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9631/601, 8816/6502.
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 9631/601,8816/6502?
Given fractions are 9631/601,8816/6502
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 9631/601,8816/6502, numerators are 9631,8816
Denominators are 601,6502
The GCF of 9631,8816 is 1 .
LCM of 601,6502 is 3907702.
The greatest common factor of 9631/601,8816/6502 = [GCF of 9631,8816]/[LCM of 601,6502]= 1/3907702
Therefore, the GCF of 9631/601,8816/6502 is 1/3907702.
To find the highest common factor of 9631,8816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9631 are 1, 9631
The factors of 8816 are 1, 2, 4, 8, 16, 19, 29, 38, 58, 76, 116, 152, 232, 304, 464, 551, 1102, 2204, 4408, 8816
The HCF of 9631,8816 is 1.
Lets's calculate GCF of 9631,8816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9631,8816 By Matching Biggest Common Factor Method
Now, list down the factors of 9631
:1,9631
Now, list down the factors of 8816
:1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 9631,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 9631,8816 is 1.
Lets's calculate LCM of 601,6502
Given numbers has no common factors except 1. So, there LCM is their product i.e 3907702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3907702
Therefore, the GCF of Fractions 9631/601,8816/6502 is 1/3907702
Least Common Multiple of 601,6502 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 601,6502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,6502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,6502) x common factors =1 x 1 = 1
LCM(601,6502) = ( 601 × 6502 ) / 1
LCM(601,6502) = 3907702 / 1
LCM(601,6502) = 3907702
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FAQs on GCF of Fractions of 9631/601, 8816/6502
1. What is the HCF of 9631,8816?
The HCF of 9631,8816 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 9631/601, 8816/6502?
Answer: GCF of Numerators as per given numbers 9631/601, 8816/6502 is
GCF of Numerators i.e. for 9631,8816 is 1
LCM of denominators i.e. for 601,6502 is 3907702.
Thus, GCF of Fractions is 1/3907702.Finally, GCF of Fractions for 9631/601, 8816/6502 is 1/3907702.