GCF of 1265/272, 5489/4914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1265/272, 5489/4914 i.e 11/668304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1265/272, 5489/4914.
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 1265/272,5489/4914?
Given fractions are 1265/272,5489/4914
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 1265/272,5489/4914, numerators are 1265,5489
Denominators are 272,4914
The GCF of 1265,5489 is 11 .
LCM of 272,4914 is 668304.
The greatest common factor of 1265/272,5489/4914 = [GCF of 1265,5489]/[LCM of 272,4914]= 11/668304
Therefore, the GCF of 1265/272,5489/4914 is 11/668304.
To find the highest common factor of 1265,5489, we have to find the factors of both numbers and list the highest common factor.
The factors of 1265 are 1, 5, 11, 23, 55, 115, 253, 1265
The factors of 5489 are 1, 11, 499, 5489
The HCF of 1265,5489 is 11.
Lets's calculate GCF of 1265,5489
| 11 | 1265, 5489 |
| 115, 499 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1265,5489 By Matching Biggest Common Factor Method
Now, list down the factors of 1265
:1,5,11,23,55,115,253,1265
Now, list down the factors of 5489
:1,11,499,5489
Greatest Common Factor
We found the factors 1265,5489 . The biggest common factor number is the GCF number.
So the greatest common factor 1265,5489 is 11.
Lets's calculate LCM of 272,4914
| 2 | 272, 4914 |
| 136, 2457 |
∴ So the LCM of the given numbers is 2 x 136 x 2457 = 668304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/668304
Therefore, the GCF of Fractions 1265/272,5489/4914 is 11/668304
Least Common Multiple of 272,4914 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 272,4914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,4914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(272,4914) x common factors =2 x 1 = 2
LCM(272,4914) = ( 272 × 4914 ) / 2
LCM(272,4914) = 1336608 / 2
LCM(272,4914) = 668304
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1265/272, 5489/4914
1. What is the HCF of 1265,5489?
The HCF of 1265,5489 is 11
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 1265/272, 5489/4914?
Answer: GCF of Numerators as per given numbers 1265/272, 5489/4914 is
GCF of Numerators i.e. for 1265,5489 is 11
LCM of denominators i.e. for 272,4914 is 668304.
Thus, GCF of Fractions is 11/668304.Finally, GCF of Fractions for 1265/272, 5489/4914 is 11/668304.