GCF of 1534/465, 3497/5472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1534/465, 3497/5472 i.e 13/848160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1534/465, 3497/5472.
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 1534/465,3497/5472?
Given fractions are 1534/465,3497/5472
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 1534/465,3497/5472, numerators are 1534,3497
Denominators are 465,5472
The GCF of 1534,3497 is 13 .
LCM of 465,5472 is 848160.
The greatest common factor of 1534/465,3497/5472 = [GCF of 1534,3497]/[LCM of 465,5472]= 13/848160
Therefore, the GCF of 1534/465,3497/5472 is 13/848160.
To find the highest common factor of 1534,3497, we have to find the factors of both numbers and list the highest common factor.
The factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534
The factors of 3497 are 1, 13, 269, 3497
The HCF of 1534,3497 is 13.
Lets's calculate GCF of 1534,3497
| 13 | 1534, 3497 |
| 118, 269 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1534,3497 By Matching Biggest Common Factor Method
Now, list down the factors of 1534
:1,2,13,26,59,118,767,1534
Now, list down the factors of 3497
:1,13,269,3497
Greatest Common Factor
We found the factors 1534,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 1534,3497 is 13.
Lets's calculate LCM of 465,5472
| 3 | 465, 5472 |
| 155, 1824 |
∴ So the LCM of the given numbers is 3 x 155 x 1824 = 848160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/848160
Therefore, the GCF of Fractions 1534/465,3497/5472 is 13/848160
Least Common Multiple of 465,5472 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 465,5472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,5472) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(465,5472) x common factors =3 x 1 = 3
LCM(465,5472) = ( 465 × 5472 ) / 3
LCM(465,5472) = 2544480 / 3
LCM(465,5472) = 848160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1534/465, 3497/5472
1. What is the HCF of 1534,3497?
The HCF of 1534,3497 is 13
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 1534/465, 3497/5472?
Answer: GCF of Numerators as per given numbers 1534/465, 3497/5472 is
GCF of Numerators i.e. for 1534,3497 is 13
LCM of denominators i.e. for 465,5472 is 848160.
Thus, GCF of Fractions is 13/848160.Finally, GCF of Fractions for 1534/465, 3497/5472 is 13/848160.