GCF of 7924/843, 8056/2838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7924/843, 8056/2838 i.e 4/797478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7924/843, 8056/2838.
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 7924/843,8056/2838?
Given fractions are 7924/843,8056/2838
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 7924/843,8056/2838, numerators are 7924,8056
Denominators are 843,2838
The GCF of 7924,8056 is 4 .
LCM of 843,2838 is 797478.
The greatest common factor of 7924/843,8056/2838 = [GCF of 7924,8056]/[LCM of 843,2838]= 4/797478
Therefore, the GCF of 7924/843,8056/2838 is 4/797478.
To find the highest common factor of 7924,8056, we have to find the factors of both numbers and list the highest common factor.
The factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924
The factors of 8056 are 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056
The HCF of 7924,8056 is 4.
Lets's calculate GCF of 7924,8056
| 2 | 7924, 8056 |
| 2 | 3962, 4028 |
| 1981, 2014 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7924,8056 By Matching Biggest Common Factor Method
Now, list down the factors of 7924
:1,2,4,7,14,28,283,566,1132,1981,3962,7924
Now, list down the factors of 8056
:1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056
Greatest Common Factor
We found the factors 7924,8056 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,8056 is 4.
Lets's calculate LCM of 843,2838
| 3 | 843, 2838 |
| 281, 946 |
∴ So the LCM of the given numbers is 3 x 281 x 946 = 797478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/797478
Therefore, the GCF of Fractions 7924/843,8056/2838 is 4/797478
Least Common Multiple of 843,2838 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 843,2838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,2838) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(843,2838) x common factors =3 x 1 = 3
LCM(843,2838) = ( 843 × 2838 ) / 3
LCM(843,2838) = 2392434 / 3
LCM(843,2838) = 797478
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FAQs on GCF of Fractions of 7924/843, 8056/2838
1. What is the HCF of 7924,8056?
The HCF of 7924,8056 is 4
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 7924/843, 8056/2838?
Answer: GCF of Numerators as per given numbers 7924/843, 8056/2838 is
GCF of Numerators i.e. for 7924,8056 is 4
LCM of denominators i.e. for 843,2838 is 797478.
Thus, GCF of Fractions is 4/797478.Finally, GCF of Fractions for 7924/843, 8056/2838 is 4/797478.