GCF of 1348/565, 4275/113
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1348/565, 4275/113 i.e 1/565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1348/565, 4275/113.
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 1348/565,4275/113?
Given fractions are 1348/565,4275/113
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 1348/565,4275/113, numerators are 1348,4275
Denominators are 565,113
The GCF of 1348,4275 is 1 .
LCM of 565,113 is 565.
The greatest common factor of 1348/565,4275/113 = [GCF of 1348,4275]/[LCM of 565,113]= 1/565
Therefore, the GCF of 1348/565,4275/113 is 1/565.
To find the highest common factor of 1348,4275, we have to find the factors of both numbers and list the highest common factor.
The factors of 1348 are 1, 2, 4, 337, 674, 1348
The factors of 4275 are 1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 475, 855, 1425, 4275
The HCF of 1348,4275 is 1.
Lets's calculate GCF of 1348,4275
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1348,4275 By Matching Biggest Common Factor Method
Now, list down the factors of 1348
:1,2,4,337,674,1348
Now, list down the factors of 4275
:1,3,5,9,15,19,25,45,57,75,95,171,225,285,475,855,1425,4275
Greatest Common Factor
We found the factors 1348,4275 . The biggest common factor number is the GCF number.
So the greatest common factor 1348,4275 is 1.
Lets's calculate LCM of 565,113
| 113 | 565, 113 |
| 5, 1 |
∴ So the LCM of the given numbers is 113 x 5 x 1 = 565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565
Therefore, the GCF of Fractions 1348/565,4275/113 is 1/565
Least Common Multiple of 565,113 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 565,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,113) = 113
common factors(in case of two or more numbers have common factors) = 1
GCF(565,113) x common factors =113 x 1 = 113
LCM(565,113) = ( 565 × 113 ) / 113
LCM(565,113) = 63845 / 113
LCM(565,113) = 565
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FAQs on GCF of Fractions of 1348/565, 4275/113
1. What is the HCF of 1348,4275?
The HCF of 1348,4275 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 1348/565, 4275/113?
Answer: GCF of Numerators as per given numbers 1348/565, 4275/113 is
GCF of Numerators i.e. for 1348,4275 is 1
LCM of denominators i.e. for 565,113 is 565.
Thus, GCF of Fractions is 1/565.Finally, GCF of Fractions for 1348/565, 4275/113 is 1/565.