GCF of 6755/270, 3647/215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6755/270, 3647/215 i.e 7/11610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6755/270, 3647/215.
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 6755/270,3647/215?
Given fractions are 6755/270,3647/215
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 6755/270,3647/215, numerators are 6755,3647
Denominators are 270,215
The GCF of 6755,3647 is 7 .
LCM of 270,215 is 11610.
The greatest common factor of 6755/270,3647/215 = [GCF of 6755,3647]/[LCM of 270,215]= 7/11610
Therefore, the GCF of 6755/270,3647/215 is 7/11610.
To find the highest common factor of 6755,3647, we have to find the factors of both numbers and list the highest common factor.
The factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755
The factors of 3647 are 1, 7, 521, 3647
The HCF of 6755,3647 is 7.
Lets's calculate GCF of 6755,3647
| 7 | 6755, 3647 |
| 965, 521 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6755,3647 By Matching Biggest Common Factor Method
Now, list down the factors of 6755
:1,5,7,35,193,965,1351,6755
Now, list down the factors of 3647
:1,7,521,3647
Greatest Common Factor
We found the factors 6755,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 6755,3647 is 7.
Lets's calculate LCM of 270,215
| 5 | 270, 215 |
| 54, 43 |
∴ So the LCM of the given numbers is 5 x 54 x 43 = 11610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/11610
Therefore, the GCF of Fractions 6755/270,3647/215 is 7/11610
Least Common Multiple of 270,215 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 270,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(270,215) x common factors =5 x 1 = 5
LCM(270,215) = ( 270 × 215 ) / 5
LCM(270,215) = 58050 / 5
LCM(270,215) = 11610
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6755/270, 3647/215
1. What is the HCF of 6755,3647?
The HCF of 6755,3647 is 7
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 6755/270, 3647/215?
Answer: GCF of Numerators as per given numbers 6755/270, 3647/215 is
GCF of Numerators i.e. for 6755,3647 is 7
LCM of denominators i.e. for 270,215 is 11610.
Thus, GCF of Fractions is 7/11610.Finally, GCF of Fractions for 6755/270, 3647/215 is 7/11610.