GCF of 5593/296, 5230/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5593/296, 5230/238 i.e 1/35224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5593/296, 5230/238.
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 5593/296,5230/238?
Given fractions are 5593/296,5230/238
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 5593/296,5230/238, numerators are 5593,5230
Denominators are 296,238
The GCF of 5593,5230 is 1 .
LCM of 296,238 is 35224.
The greatest common factor of 5593/296,5230/238 = [GCF of 5593,5230]/[LCM of 296,238]= 1/35224
Therefore, the GCF of 5593/296,5230/238 is 1/35224.
To find the highest common factor of 5593,5230, 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 5230 are 1, 2, 5, 10, 523, 1046, 2615, 5230
The HCF of 5593,5230 is 1.
Lets's calculate GCF of 5593,5230
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5593,5230 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 5230
:1,2,5,10,523,1046,2615,5230
Greatest Common Factor
We found the factors 5593,5230 . The biggest common factor number is the GCF number.
So the greatest common factor 5593,5230 is 1.
Lets's calculate LCM of 296,238
| 2 | 296, 238 |
| 148, 119 |
∴ So the LCM of the given numbers is 2 x 148 x 119 = 35224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35224
Therefore, the GCF of Fractions 5593/296,5230/238 is 1/35224
Least Common Multiple of 296,238 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 296,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(296,238) x common factors =2 x 1 = 2
LCM(296,238) = ( 296 × 238 ) / 2
LCM(296,238) = 70448 / 2
LCM(296,238) = 35224
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FAQs on GCF of Fractions of 5593/296, 5230/238
1. What is the HCF of 5593,5230?
The HCF of 5593,5230 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 5593/296, 5230/238?
Answer: GCF of Numerators as per given numbers 5593/296, 5230/238 is
GCF of Numerators i.e. for 5593,5230 is 1
LCM of denominators i.e. for 296,238 is 35224.
Thus, GCF of Fractions is 1/35224.Finally, GCF of Fractions for 5593/296, 5230/238 is 1/35224.