GCF of 4847/102, 9228/3082
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4847/102, 9228/3082 i.e 1/157182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4847/102, 9228/3082.
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 4847/102,9228/3082?
Given fractions are 4847/102,9228/3082
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 4847/102,9228/3082, numerators are 4847,9228
Denominators are 102,3082
The GCF of 4847,9228 is 1 .
LCM of 102,3082 is 157182.
The greatest common factor of 4847/102,9228/3082 = [GCF of 4847,9228]/[LCM of 102,3082]= 1/157182
Therefore, the GCF of 4847/102,9228/3082 is 1/157182.
To find the highest common factor of 4847,9228, we have to find the factors of both numbers and list the highest common factor.
The factors of 4847 are 1, 37, 131, 4847
The factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228
The HCF of 4847,9228 is 1.
Lets's calculate GCF of 4847,9228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4847,9228 By Matching Biggest Common Factor Method
Now, list down the factors of 4847
:1,37,131,4847
Now, list down the factors of 9228
:1,2,3,4,6,12,769,1538,2307,3076,4614,9228
Greatest Common Factor
We found the factors 4847,9228 . The biggest common factor number is the GCF number.
So the greatest common factor 4847,9228 is 1.
Lets's calculate LCM of 102,3082
| 2 | 102, 3082 |
| 51, 1541 |
∴ So the LCM of the given numbers is 2 x 51 x 1541 = 157182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157182
Therefore, the GCF of Fractions 4847/102,9228/3082 is 1/157182
Least Common Multiple of 102,3082 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 102,3082 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,3082) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,3082) x common factors =2 x 1 = 2
LCM(102,3082) = ( 102 × 3082 ) / 2
LCM(102,3082) = 314364 / 2
LCM(102,3082) = 157182
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FAQs on GCF of Fractions of 4847/102, 9228/3082
1. What is the HCF of 4847,9228?
The HCF of 4847,9228 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 4847/102, 9228/3082?
Answer: GCF of Numerators as per given numbers 4847/102, 9228/3082 is
GCF of Numerators i.e. for 4847,9228 is 1
LCM of denominators i.e. for 102,3082 is 157182.
Thus, GCF of Fractions is 1/157182.Finally, GCF of Fractions for 4847/102, 9228/3082 is 1/157182.