GCF of 7215/278, 6277/5893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7215/278, 6277/5893 i.e 1/1638254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7215/278, 6277/5893.
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 7215/278,6277/5893?
Given fractions are 7215/278,6277/5893
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 7215/278,6277/5893, numerators are 7215,6277
Denominators are 278,5893
The GCF of 7215,6277 is 1 .
LCM of 278,5893 is 1638254.
The greatest common factor of 7215/278,6277/5893 = [GCF of 7215,6277]/[LCM of 278,5893]= 1/1638254
Therefore, the GCF of 7215/278,6277/5893 is 1/1638254.
To find the highest common factor of 7215,6277, we have to find the factors of both numbers and list the highest common factor.
The factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215
The factors of 6277 are 1, 6277
The HCF of 7215,6277 is 1.
Lets's calculate GCF of 7215,6277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7215,6277 By Matching Biggest Common Factor Method
Now, list down the factors of 7215
:1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Now, list down the factors of 6277
:1,6277
Greatest Common Factor
We found the factors 7215,6277 . The biggest common factor number is the GCF number.
So the greatest common factor 7215,6277 is 1.
Lets's calculate LCM of 278,5893
Given numbers has no common factors except 1. So, there LCM is their product i.e 1638254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1638254
Therefore, the GCF of Fractions 7215/278,6277/5893 is 1/1638254
Least Common Multiple of 278,5893 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 278,5893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,5893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,5893) x common factors =1 x 1 = 1
LCM(278,5893) = ( 278 × 5893 ) / 1
LCM(278,5893) = 1638254 / 1
LCM(278,5893) = 1638254
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7215/278, 6277/5893
1. What is the HCF of 7215,6277?
The HCF of 7215,6277 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 7215/278, 6277/5893?
Answer: GCF of Numerators as per given numbers 7215/278, 6277/5893 is
GCF of Numerators i.e. for 7215,6277 is 1
LCM of denominators i.e. for 278,5893 is 1638254.
Thus, GCF of Fractions is 1/1638254.Finally, GCF of Fractions for 7215/278, 6277/5893 is 1/1638254.