GCF of 7924/518, 3832/7408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7924/518, 3832/7408 i.e 4/1918672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7924/518, 3832/7408.
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 7924/518,3832/7408?
Given fractions are 7924/518,3832/7408
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 7924/518,3832/7408, numerators are 7924,3832
Denominators are 518,7408
The GCF of 7924,3832 is 4 .
LCM of 518,7408 is 1918672.
The greatest common factor of 7924/518,3832/7408 = [GCF of 7924,3832]/[LCM of 518,7408]= 4/1918672
Therefore, the GCF of 7924/518,3832/7408 is 4/1918672.
To find the highest common factor of 7924,3832, 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 3832 are 1, 2, 4, 8, 479, 958, 1916, 3832
The HCF of 7924,3832 is 4.
Lets's calculate GCF of 7924,3832
| 2 | 7924, 3832 |
| 2 | 3962, 1916 |
| 1981, 958 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7924,3832 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 3832
:1,2,4,8,479,958,1916,3832
Greatest Common Factor
We found the factors 7924,3832 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,3832 is 4.
Lets's calculate LCM of 518,7408
| 2 | 518, 7408 |
| 259, 3704 |
∴ So the LCM of the given numbers is 2 x 259 x 3704 = 1918672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1918672
Therefore, the GCF of Fractions 7924/518,3832/7408 is 4/1918672
Least Common Multiple of 518,7408 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 518,7408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,7408) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,7408) x common factors =2 x 1 = 2
LCM(518,7408) = ( 518 × 7408 ) / 2
LCM(518,7408) = 3837344 / 2
LCM(518,7408) = 1918672
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FAQs on GCF of Fractions of 7924/518, 3832/7408
1. What is the HCF of 7924,3832?
The HCF of 7924,3832 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 7924/518, 3832/7408?
Answer: GCF of Numerators as per given numbers 7924/518, 3832/7408 is
GCF of Numerators i.e. for 7924,3832 is 4
LCM of denominators i.e. for 518,7408 is 1918672.
Thus, GCF of Fractions is 4/1918672.Finally, GCF of Fractions for 7924/518, 3832/7408 is 4/1918672.