GCF of 2994/284, 9295/8072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2994/284, 9295/8072 i.e 1/573112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2994/284, 9295/8072.
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 2994/284,9295/8072?
Given fractions are 2994/284,9295/8072
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 2994/284,9295/8072, numerators are 2994,9295
Denominators are 284,8072
The GCF of 2994,9295 is 1 .
LCM of 284,8072 is 573112.
The greatest common factor of 2994/284,9295/8072 = [GCF of 2994,9295]/[LCM of 284,8072]= 1/573112
Therefore, the GCF of 2994/284,9295/8072 is 1/573112.
To find the highest common factor of 2994,9295, we have to find the factors of both numbers and list the highest common factor.
The factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994
The factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295
The HCF of 2994,9295 is 1.
Lets's calculate GCF of 2994,9295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2994,9295 By Matching Biggest Common Factor Method
Now, list down the factors of 2994
:1,2,3,6,499,998,1497,2994
Now, list down the factors of 9295
:1,5,11,13,55,65,143,169,715,845,1859,9295
Greatest Common Factor
We found the factors 2994,9295 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,9295 is 1.
Lets's calculate LCM of 284,8072
| 2 | 284, 8072 |
| 2 | 142, 4036 |
| 71, 2018 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 2018 = 573112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573112
Therefore, the GCF of Fractions 2994/284,9295/8072 is 1/573112
Least Common Multiple of 284,8072 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 284,8072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,8072) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,8072) x common factors =4 x 1 = 4
LCM(284,8072) = ( 284 × 8072 ) / 4
LCM(284,8072) = 2292448 / 4
LCM(284,8072) = 573112
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FAQs on GCF of Fractions of 2994/284, 9295/8072
1. What is the HCF of 2994,9295?
The HCF of 2994,9295 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 2994/284, 9295/8072?
Answer: GCF of Numerators as per given numbers 2994/284, 9295/8072 is
GCF of Numerators i.e. for 2994,9295 is 1
LCM of denominators i.e. for 284,8072 is 573112.
Thus, GCF of Fractions is 1/573112.Finally, GCF of Fractions for 2994/284, 9295/8072 is 1/573112.