GCF of 9340/464, 8183/1397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9340/464, 8183/1397 i.e 1/648208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9340/464, 8183/1397.
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 9340/464,8183/1397?
Given fractions are 9340/464,8183/1397
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 9340/464,8183/1397, numerators are 9340,8183
Denominators are 464,1397
The GCF of 9340,8183 is 1 .
LCM of 464,1397 is 648208.
The greatest common factor of 9340/464,8183/1397 = [GCF of 9340,8183]/[LCM of 464,1397]= 1/648208
Therefore, the GCF of 9340/464,8183/1397 is 1/648208.
To find the highest common factor of 9340,8183, we have to find the factors of both numbers and list the highest common factor.
The factors of 9340 are 1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340
The factors of 8183 are 1, 7, 49, 167, 1169, 8183
The HCF of 9340,8183 is 1.
Lets's calculate GCF of 9340,8183
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9340,8183 By Matching Biggest Common Factor Method
Now, list down the factors of 9340
:1,2,4,5,10,20,467,934,1868,2335,4670,9340
Now, list down the factors of 8183
:1,7,49,167,1169,8183
Greatest Common Factor
We found the factors 9340,8183 . The biggest common factor number is the GCF number.
So the greatest common factor 9340,8183 is 1.
Lets's calculate LCM of 464,1397
Given numbers has no common factors except 1. So, there LCM is their product i.e 648208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648208
Therefore, the GCF of Fractions 9340/464,8183/1397 is 1/648208
Least Common Multiple of 464,1397 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 464,1397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,1397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,1397) x common factors =1 x 1 = 1
LCM(464,1397) = ( 464 × 1397 ) / 1
LCM(464,1397) = 648208 / 1
LCM(464,1397) = 648208
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FAQs on GCF of Fractions of 9340/464, 8183/1397
1. What is the HCF of 9340,8183?
The HCF of 9340,8183 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 9340/464, 8183/1397?
Answer: GCF of Numerators as per given numbers 9340/464, 8183/1397 is
GCF of Numerators i.e. for 9340,8183 is 1
LCM of denominators i.e. for 464,1397 is 648208.
Thus, GCF of Fractions is 1/648208.Finally, GCF of Fractions for 9340/464, 8183/1397 is 1/648208.