GCF of 7994/293, 8582/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7994/293, 8582/151 i.e 14/44243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7994/293, 8582/151.
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 7994/293,8582/151?
Given fractions are 7994/293,8582/151
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 7994/293,8582/151, numerators are 7994,8582
Denominators are 293,151
The GCF of 7994,8582 is 14 .
LCM of 293,151 is 44243.
The greatest common factor of 7994/293,8582/151 = [GCF of 7994,8582]/[LCM of 293,151]= 14/44243
Therefore, the GCF of 7994/293,8582/151 is 14/44243.
To find the highest common factor of 7994,8582, we have to find the factors of both numbers and list the highest common factor.
The factors of 7994 are 1, 2, 7, 14, 571, 1142, 3997, 7994
The factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582
The HCF of 7994,8582 is 14.
Lets's calculate GCF of 7994,8582
| 2 | 7994, 8582 |
| 7 | 3997, 4291 |
| 571, 613 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7994,8582 By Matching Biggest Common Factor Method
Now, list down the factors of 7994
:1,2,7,14,571,1142,3997,7994
Now, list down the factors of 8582
:1,2,7,14,613,1226,4291,8582
Greatest Common Factor
We found the factors 7994,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 7994,8582 is 14.
Lets's calculate LCM of 293,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 44243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/44243
Therefore, the GCF of Fractions 7994/293,8582/151 is 14/44243
Least Common Multiple of 293,151 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 293,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,151) x common factors =1 x 1 = 1
LCM(293,151) = ( 293 × 151 ) / 1
LCM(293,151) = 44243 / 1
LCM(293,151) = 44243
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FAQs on GCF of Fractions of 7994/293, 8582/151
1. What is the HCF of 7994,8582?
The HCF of 7994,8582 is 14
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 7994/293, 8582/151?
Answer: GCF of Numerators as per given numbers 7994/293, 8582/151 is
GCF of Numerators i.e. for 7994,8582 is 14
LCM of denominators i.e. for 293,151 is 44243.
Thus, GCF of Fractions is 14/44243.Finally, GCF of Fractions for 7994/293, 8582/151 is 14/44243.