GCF of 673/275, 114/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 673/275, 114/517 i.e 1/12925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/275, 114/517.
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 673/275,114/517?
Given fractions are 673/275,114/517
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 673/275,114/517, numerators are 673,114
Denominators are 275,517
The GCF of 673,114 is 1 .
LCM of 275,517 is 12925.
The greatest common factor of 673/275,114/517 = [GCF of 673,114]/[LCM of 275,517]= 1/12925
Therefore, the GCF of 673/275,114/517 is 1/12925.
To find the highest common factor of 673,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 673 are 1, 673
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 673,114 is 1.
Lets's calculate GCF of 673,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 673,114 By Matching Biggest Common Factor Method
Now, list down the factors of 673
:1,673
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 673,114 . The biggest common factor number is the GCF number.
So the greatest common factor 673,114 is 1.
Lets's calculate LCM of 275,517
| 11 | 275, 517 |
| 25, 47 |
∴ So the LCM of the given numbers is 11 x 25 x 47 = 12925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12925
Therefore, the GCF of Fractions 673/275,114/517 is 1/12925
Least Common Multiple of 275,517 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 275,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,517) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(275,517) x common factors =11 x 1 = 11
LCM(275,517) = ( 275 × 517 ) / 11
LCM(275,517) = 142175 / 11
LCM(275,517) = 12925
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FAQs on GCF of Fractions of 673/275, 114/517
1. What is the HCF of 673,114?
The HCF of 673,114 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 673/275, 114/517?
Answer: GCF of Numerators as per given numbers 673/275, 114/517 is
GCF of Numerators i.e. for 673,114 is 1
LCM of denominators i.e. for 275,517 is 12925.
Thus, GCF of Fractions is 1/12925.Finally, GCF of Fractions for 673/275, 114/517 is 1/12925.