GCF of 5593/138, 7647/2308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5593/138, 7647/2308 i.e 1/159252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5593/138, 7647/2308.
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 5593/138,7647/2308?
Given fractions are 5593/138,7647/2308
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 5593/138,7647/2308, numerators are 5593,7647
Denominators are 138,2308
The GCF of 5593,7647 is 1 .
LCM of 138,2308 is 159252.
The greatest common factor of 5593/138,7647/2308 = [GCF of 5593,7647]/[LCM of 138,2308]= 1/159252
Therefore, the GCF of 5593/138,7647/2308 is 1/159252.
To find the highest common factor of 5593,7647, we have to find the factors of both numbers and list the highest common factor.
The factors of 5593 are 1, 7, 17, 47, 119, 329, 799, 5593
The factors of 7647 are 1, 3, 2549, 7647
The HCF of 5593,7647 is 1.
Lets's calculate GCF of 5593,7647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5593,7647 By Matching Biggest Common Factor Method
Now, list down the factors of 5593
:1,7,17,47,119,329,799,5593
Now, list down the factors of 7647
:1,3,2549,7647
Greatest Common Factor
We found the factors 5593,7647 . The biggest common factor number is the GCF number.
So the greatest common factor 5593,7647 is 1.
Lets's calculate LCM of 138,2308
| 2 | 138, 2308 |
| 69, 1154 |
∴ So the LCM of the given numbers is 2 x 69 x 1154 = 159252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159252
Therefore, the GCF of Fractions 5593/138,7647/2308 is 1/159252
Least Common Multiple of 138,2308 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 138,2308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,2308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,2308) x common factors =2 x 1 = 2
LCM(138,2308) = ( 138 × 2308 ) / 2
LCM(138,2308) = 318504 / 2
LCM(138,2308) = 159252
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FAQs on GCF of Fractions of 5593/138, 7647/2308
1. What is the HCF of 5593,7647?
The HCF of 5593,7647 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 5593/138, 7647/2308?
Answer: GCF of Numerators as per given numbers 5593/138, 7647/2308 is
GCF of Numerators i.e. for 5593,7647 is 1
LCM of denominators i.e. for 138,2308 is 159252.
Thus, GCF of Fractions is 1/159252.Finally, GCF of Fractions for 5593/138, 7647/2308 is 1/159252.