GCF of 7924/127, 9596/1916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7924/127, 9596/1916 i.e 4/243332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7924/127, 9596/1916.
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 7924/127,9596/1916?
Given fractions are 7924/127,9596/1916
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 7924/127,9596/1916, numerators are 7924,9596
Denominators are 127,1916
The GCF of 7924,9596 is 4 .
LCM of 127,1916 is 243332.
The greatest common factor of 7924/127,9596/1916 = [GCF of 7924,9596]/[LCM of 127,1916]= 4/243332
Therefore, the GCF of 7924/127,9596/1916 is 4/243332.
To find the highest common factor of 7924,9596, 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 9596 are 1, 2, 4, 2399, 4798, 9596
The HCF of 7924,9596 is 4.
Lets's calculate GCF of 7924,9596
| 2 | 7924, 9596 |
| 2 | 3962, 4798 |
| 1981, 2399 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7924,9596 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 9596
:1,2,4,2399,4798,9596
Greatest Common Factor
We found the factors 7924,9596 . The biggest common factor number is the GCF number.
So the greatest common factor 7924,9596 is 4.
Lets's calculate LCM of 127,1916
Given numbers has no common factors except 1. So, there LCM is their product i.e 243332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/243332
Therefore, the GCF of Fractions 7924/127,9596/1916 is 4/243332
Least Common Multiple of 127,1916 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 127,1916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,1916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,1916) x common factors =1 x 1 = 1
LCM(127,1916) = ( 127 × 1916 ) / 1
LCM(127,1916) = 243332 / 1
LCM(127,1916) = 243332
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FAQs on GCF of Fractions of 7924/127, 9596/1916
1. What is the HCF of 7924,9596?
The HCF of 7924,9596 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 7924/127, 9596/1916?
Answer: GCF of Numerators as per given numbers 7924/127, 9596/1916 is
GCF of Numerators i.e. for 7924,9596 is 4
LCM of denominators i.e. for 127,1916 is 243332.
Thus, GCF of Fractions is 4/243332.Finally, GCF of Fractions for 7924/127, 9596/1916 is 4/243332.