GCF of 4845/785, 9141/9357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4845/785, 9141/9357 i.e 3/7345245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4845/785, 9141/9357.
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 4845/785,9141/9357?
Given fractions are 4845/785,9141/9357
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 4845/785,9141/9357, numerators are 4845,9141
Denominators are 785,9357
The GCF of 4845,9141 is 3 .
LCM of 785,9357 is 7345245.
The greatest common factor of 4845/785,9141/9357 = [GCF of 4845,9141]/[LCM of 785,9357]= 3/7345245
Therefore, the GCF of 4845/785,9141/9357 is 3/7345245.
To find the highest common factor of 4845,9141, we have to find the factors of both numbers and list the highest common factor.
The factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845
The factors of 9141 are 1, 3, 11, 33, 277, 831, 3047, 9141
The HCF of 4845,9141 is 3.
Lets's calculate GCF of 4845,9141
| 3 | 4845, 9141 |
| 1615, 3047 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4845,9141 By Matching Biggest Common Factor Method
Now, list down the factors of 4845
:1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845
Now, list down the factors of 9141
:1,3,11,33,277,831,3047,9141
Greatest Common Factor
We found the factors 4845,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 4845,9141 is 3.
Lets's calculate LCM of 785,9357
Given numbers has no common factors except 1. So, there LCM is their product i.e 7345245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7345245
Therefore, the GCF of Fractions 4845/785,9141/9357 is 3/7345245
Least Common Multiple of 785,9357 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 785,9357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,9357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,9357) x common factors =1 x 1 = 1
LCM(785,9357) = ( 785 × 9357 ) / 1
LCM(785,9357) = 7345245 / 1
LCM(785,9357) = 7345245
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FAQs on GCF of Fractions of 4845/785, 9141/9357
1. What is the HCF of 4845,9141?
The HCF of 4845,9141 is 3
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 4845/785, 9141/9357?
Answer: GCF of Numerators as per given numbers 4845/785, 9141/9357 is
GCF of Numerators i.e. for 4845,9141 is 3
LCM of denominators i.e. for 785,9357 is 7345245.
Thus, GCF of Fractions is 3/7345245.Finally, GCF of Fractions for 4845/785, 9141/9357 is 3/7345245.