GCF of 5087/159, 1273/4343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5087/159, 1273/4343 i.e 1/690537 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5087/159, 1273/4343.
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 5087/159,1273/4343?
Given fractions are 5087/159,1273/4343
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 5087/159,1273/4343, numerators are 5087,1273
Denominators are 159,4343
The GCF of 5087,1273 is 1 .
LCM of 159,4343 is 690537.
The greatest common factor of 5087/159,1273/4343 = [GCF of 5087,1273]/[LCM of 159,4343]= 1/690537
Therefore, the GCF of 5087/159,1273/4343 is 1/690537.
To find the highest common factor of 5087,1273, we have to find the factors of both numbers and list the highest common factor.
The factors of 5087 are 1, 5087
The factors of 1273 are 1, 19, 67, 1273
The HCF of 5087,1273 is 1.
Lets's calculate GCF of 5087,1273
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5087,1273 By Matching Biggest Common Factor Method
Now, list down the factors of 5087
:1,5087
Now, list down the factors of 1273
:1,19,67,1273
Greatest Common Factor
We found the factors 5087,1273 . The biggest common factor number is the GCF number.
So the greatest common factor 5087,1273 is 1.
Lets's calculate LCM of 159,4343
Given numbers has no common factors except 1. So, there LCM is their product i.e 690537
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/690537
Therefore, the GCF of Fractions 5087/159,1273/4343 is 1/690537
Least Common Multiple of 159,4343 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 159,4343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,4343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,4343) x common factors =1 x 1 = 1
LCM(159,4343) = ( 159 × 4343 ) / 1
LCM(159,4343) = 690537 / 1
LCM(159,4343) = 690537
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FAQs on GCF of Fractions of 5087/159, 1273/4343
1. What is the HCF of 5087,1273?
The HCF of 5087,1273 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 5087/159, 1273/4343?
Answer: GCF of Numerators as per given numbers 5087/159, 1273/4343 is
GCF of Numerators i.e. for 5087,1273 is 1
LCM of denominators i.e. for 159,4343 is 690537.
Thus, GCF of Fractions is 1/690537.Finally, GCF of Fractions for 5087/159, 1273/4343 is 1/690537.