GCF of 4519/267, 1945/6816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4519/267, 1945/6816 i.e 1/606624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4519/267, 1945/6816.
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 4519/267,1945/6816?
Given fractions are 4519/267,1945/6816
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 4519/267,1945/6816, numerators are 4519,1945
Denominators are 267,6816
The GCF of 4519,1945 is 1 .
LCM of 267,6816 is 606624.
The greatest common factor of 4519/267,1945/6816 = [GCF of 4519,1945]/[LCM of 267,6816]= 1/606624
Therefore, the GCF of 4519/267,1945/6816 is 1/606624.
To find the highest common factor of 4519,1945, we have to find the factors of both numbers and list the highest common factor.
The factors of 4519 are 1, 4519
The factors of 1945 are 1, 5, 389, 1945
The HCF of 4519,1945 is 1.
Lets's calculate GCF of 4519,1945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4519,1945 By Matching Biggest Common Factor Method
Now, list down the factors of 4519
:1,4519
Now, list down the factors of 1945
:1,5,389,1945
Greatest Common Factor
We found the factors 4519,1945 . The biggest common factor number is the GCF number.
So the greatest common factor 4519,1945 is 1.
Lets's calculate LCM of 267,6816
| 3 | 267, 6816 |
| 89, 2272 |
∴ So the LCM of the given numbers is 3 x 89 x 2272 = 606624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606624
Therefore, the GCF of Fractions 4519/267,1945/6816 is 1/606624
Least Common Multiple of 267,6816 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 267,6816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,6816) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,6816) x common factors =3 x 1 = 3
LCM(267,6816) = ( 267 × 6816 ) / 3
LCM(267,6816) = 1819872 / 3
LCM(267,6816) = 606624
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FAQs on GCF of Fractions of 4519/267, 1945/6816
1. What is the HCF of 4519,1945?
The HCF of 4519,1945 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 4519/267, 1945/6816?
Answer: GCF of Numerators as per given numbers 4519/267, 1945/6816 is
GCF of Numerators i.e. for 4519,1945 is 1
LCM of denominators i.e. for 267,6816 is 606624.
Thus, GCF of Fractions is 1/606624.Finally, GCF of Fractions for 4519/267, 1945/6816 is 1/606624.