GCF of 7393/114, 1924/4248
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7393/114, 1924/4248 i.e 1/80712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7393/114, 1924/4248.
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 7393/114,1924/4248?
Given fractions are 7393/114,1924/4248
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 7393/114,1924/4248, numerators are 7393,1924
Denominators are 114,4248
The GCF of 7393,1924 is 1 .
LCM of 114,4248 is 80712.
The greatest common factor of 7393/114,1924/4248 = [GCF of 7393,1924]/[LCM of 114,4248]= 1/80712
Therefore, the GCF of 7393/114,1924/4248 is 1/80712.
To find the highest common factor of 7393,1924, we have to find the factors of both numbers and list the highest common factor.
The factors of 7393 are 1, 7393
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The HCF of 7393,1924 is 1.
Lets's calculate GCF of 7393,1924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7393,1924 By Matching Biggest Common Factor Method
Now, list down the factors of 7393
:1,7393
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Greatest Common Factor
We found the factors 7393,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 7393,1924 is 1.
Lets's calculate LCM of 114,4248
| 2 | 114, 4248 |
| 3 | 57, 2124 |
| 19, 708 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 708 = 80712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80712
Therefore, the GCF of Fractions 7393/114,1924/4248 is 1/80712
Least Common Multiple of 114,4248 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 114,4248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,4248) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(114,4248) x common factors =6 x 1 = 6
LCM(114,4248) = ( 114 × 4248 ) / 6
LCM(114,4248) = 484272 / 6
LCM(114,4248) = 80712
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FAQs on GCF of Fractions of 7393/114, 1924/4248
1. What is the HCF of 7393,1924?
The HCF of 7393,1924 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 7393/114, 1924/4248?
Answer: GCF of Numerators as per given numbers 7393/114, 1924/4248 is
GCF of Numerators i.e. for 7393,1924 is 1
LCM of denominators i.e. for 114,4248 is 80712.
Thus, GCF of Fractions is 1/80712.Finally, GCF of Fractions for 7393/114, 1924/4248 is 1/80712.