GCF of 2447/270, 5454/4304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2447/270, 5454/4304 i.e 1/581040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2447/270, 5454/4304.
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 2447/270,5454/4304?
Given fractions are 2447/270,5454/4304
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 2447/270,5454/4304, numerators are 2447,5454
Denominators are 270,4304
The GCF of 2447,5454 is 1 .
LCM of 270,4304 is 581040.
The greatest common factor of 2447/270,5454/4304 = [GCF of 2447,5454]/[LCM of 270,4304]= 1/581040
Therefore, the GCF of 2447/270,5454/4304 is 1/581040.
To find the highest common factor of 2447,5454, we have to find the factors of both numbers and list the highest common factor.
The factors of 2447 are 1, 2447
The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454
The HCF of 2447,5454 is 1.
Lets's calculate GCF of 2447,5454
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2447,5454 By Matching Biggest Common Factor Method
Now, list down the factors of 2447
:1,2447
Now, list down the factors of 5454
:1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Greatest Common Factor
We found the factors 2447,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 2447,5454 is 1.
Lets's calculate LCM of 270,4304
| 2 | 270, 4304 |
| 135, 2152 |
∴ So the LCM of the given numbers is 2 x 135 x 2152 = 581040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581040
Therefore, the GCF of Fractions 2447/270,5454/4304 is 1/581040
Least Common Multiple of 270,4304 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 270,4304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,4304) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,4304) x common factors =2 x 1 = 2
LCM(270,4304) = ( 270 × 4304 ) / 2
LCM(270,4304) = 1162080 / 2
LCM(270,4304) = 581040
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FAQs on GCF of Fractions of 2447/270, 5454/4304
1. What is the HCF of 2447,5454?
The HCF of 2447,5454 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 2447/270, 5454/4304?
Answer: GCF of Numerators as per given numbers 2447/270, 5454/4304 is
GCF of Numerators i.e. for 2447,5454 is 1
LCM of denominators i.e. for 270,4304 is 581040.
Thus, GCF of Fractions is 1/581040.Finally, GCF of Fractions for 2447/270, 5454/4304 is 1/581040.