GCF of 9485/317, 8662/244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9485/317, 8662/244 i.e 1/77348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9485/317, 8662/244.
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 9485/317,8662/244?
Given fractions are 9485/317,8662/244
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 9485/317,8662/244, numerators are 9485,8662
Denominators are 317,244
The GCF of 9485,8662 is 1 .
LCM of 317,244 is 77348.
The greatest common factor of 9485/317,8662/244 = [GCF of 9485,8662]/[LCM of 317,244]= 1/77348
Therefore, the GCF of 9485/317,8662/244 is 1/77348.
To find the highest common factor of 9485,8662, we have to find the factors of both numbers and list the highest common factor.
The factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485
The factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662
The HCF of 9485,8662 is 1.
Lets's calculate GCF of 9485,8662
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9485,8662 By Matching Biggest Common Factor Method
Now, list down the factors of 9485
:1,5,7,35,271,1355,1897,9485
Now, list down the factors of 8662
:1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 9485,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 9485,8662 is 1.
Lets's calculate LCM of 317,244
Given numbers has no common factors except 1. So, there LCM is their product i.e 77348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77348
Therefore, the GCF of Fractions 9485/317,8662/244 is 1/77348
Least Common Multiple of 317,244 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 317,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,244) x common factors =1 x 1 = 1
LCM(317,244) = ( 317 × 244 ) / 1
LCM(317,244) = 77348 / 1
LCM(317,244) = 77348
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FAQs on GCF of Fractions of 9485/317, 8662/244
1. What is the HCF of 9485,8662?
The HCF of 9485,8662 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 9485/317, 8662/244?
Answer: GCF of Numerators as per given numbers 9485/317, 8662/244 is
GCF of Numerators i.e. for 9485,8662 is 1
LCM of denominators i.e. for 317,244 is 77348.
Thus, GCF of Fractions is 1/77348.Finally, GCF of Fractions for 9485/317, 8662/244 is 1/77348.