GCF of 7793/986, 2304/5966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7793/986, 2304/5966 i.e 1/2941238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7793/986, 2304/5966.
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 7793/986,2304/5966?
Given fractions are 7793/986,2304/5966
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 7793/986,2304/5966, numerators are 7793,2304
Denominators are 986,5966
The GCF of 7793,2304 is 1 .
LCM of 986,5966 is 2941238.
The greatest common factor of 7793/986,2304/5966 = [GCF of 7793,2304]/[LCM of 986,5966]= 1/2941238
Therefore, the GCF of 7793/986,2304/5966 is 1/2941238.
To find the highest common factor of 7793,2304, we have to find the factors of both numbers and list the highest common factor.
The factors of 7793 are 1, 7793
The factors of 2304 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 576, 768, 1152, 2304
The HCF of 7793,2304 is 1.
Lets's calculate GCF of 7793,2304
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7793,2304 By Matching Biggest Common Factor Method
Now, list down the factors of 7793
:1,7793
Now, list down the factors of 2304
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,576,768,1152,2304
Greatest Common Factor
We found the factors 7793,2304 . The biggest common factor number is the GCF number.
So the greatest common factor 7793,2304 is 1.
Lets's calculate LCM of 986,5966
| 2 | 986, 5966 |
| 493, 2983 |
∴ So the LCM of the given numbers is 2 x 493 x 2983 = 2941238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2941238
Therefore, the GCF of Fractions 7793/986,2304/5966 is 1/2941238
Least Common Multiple of 986,5966 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 986,5966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,5966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,5966) x common factors =2 x 1 = 2
LCM(986,5966) = ( 986 × 5966 ) / 2
LCM(986,5966) = 5882476 / 2
LCM(986,5966) = 2941238
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FAQs on GCF of Fractions of 7793/986, 2304/5966
1. What is the HCF of 7793,2304?
The HCF of 7793,2304 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 7793/986, 2304/5966?
Answer: GCF of Numerators as per given numbers 7793/986, 2304/5966 is
GCF of Numerators i.e. for 7793,2304 is 1
LCM of denominators i.e. for 986,5966 is 2941238.
Thus, GCF of Fractions is 1/2941238.Finally, GCF of Fractions for 7793/986, 2304/5966 is 1/2941238.