GCF of 9475/120, 4686/1223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9475/120, 4686/1223 i.e 1/146760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9475/120, 4686/1223.
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 9475/120,4686/1223?
Given fractions are 9475/120,4686/1223
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 9475/120,4686/1223, numerators are 9475,4686
Denominators are 120,1223
The GCF of 9475,4686 is 1 .
LCM of 120,1223 is 146760.
The greatest common factor of 9475/120,4686/1223 = [GCF of 9475,4686]/[LCM of 120,1223]= 1/146760
Therefore, the GCF of 9475/120,4686/1223 is 1/146760.
To find the highest common factor of 9475,4686, we have to find the factors of both numbers and list the highest common factor.
The factors of 9475 are 1, 5, 25, 379, 1895, 9475
The factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686
The HCF of 9475,4686 is 1.
Lets's calculate GCF of 9475,4686
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9475,4686 By Matching Biggest Common Factor Method
Now, list down the factors of 9475
:1,5,25,379,1895,9475
Now, list down the factors of 4686
:1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686
Greatest Common Factor
We found the factors 9475,4686 . The biggest common factor number is the GCF number.
So the greatest common factor 9475,4686 is 1.
Lets's calculate LCM of 120,1223
Given numbers has no common factors except 1. So, there LCM is their product i.e 146760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146760
Therefore, the GCF of Fractions 9475/120,4686/1223 is 1/146760
Least Common Multiple of 120,1223 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 120,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,1223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(120,1223) x common factors =1 x 1 = 1
LCM(120,1223) = ( 120 × 1223 ) / 1
LCM(120,1223) = 146760 / 1
LCM(120,1223) = 146760
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FAQs on GCF of Fractions of 9475/120, 4686/1223
1. What is the HCF of 9475,4686?
The HCF of 9475,4686 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 9475/120, 4686/1223?
Answer: GCF of Numerators as per given numbers 9475/120, 4686/1223 is
GCF of Numerators i.e. for 9475,4686 is 1
LCM of denominators i.e. for 120,1223 is 146760.
Thus, GCF of Fractions is 1/146760.Finally, GCF of Fractions for 9475/120, 4686/1223 is 1/146760.