GCF of 291/262, 315/128
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 291/262, 315/128 i.e 3/16768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 291/262, 315/128.
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 291/262,315/128?
Given fractions are 291/262,315/128
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 291/262,315/128, numerators are 291,315
Denominators are 262,128
The GCF of 291,315 is 3 .
LCM of 262,128 is 16768.
The greatest common factor of 291/262,315/128 = [GCF of 291,315]/[LCM of 262,128]= 3/16768
Therefore, the GCF of 291/262,315/128 is 3/16768.
To find the highest common factor of 291,315, we have to find the factors of both numbers and list the highest common factor.
The factors of 291 are 1, 3, 97, 291
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The HCF of 291,315 is 3.
Lets's calculate GCF of 291,315
| 3 | 291, 315 |
| 97, 105 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 291,315 By Matching Biggest Common Factor Method
Now, list down the factors of 291
:1,3,97,291
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 291,315 . The biggest common factor number is the GCF number.
So the greatest common factor 291,315 is 3.
Lets's calculate LCM of 262,128
| 2 | 262, 128 |
| 131, 64 |
∴ So the LCM of the given numbers is 2 x 131 x 64 = 16768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16768
Therefore, the GCF of Fractions 291/262,315/128 is 3/16768
Least Common Multiple of 262,128 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 262,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,128) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(262,128) x common factors =2 x 1 = 2
LCM(262,128) = ( 262 × 128 ) / 2
LCM(262,128) = 33536 / 2
LCM(262,128) = 16768
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 291/262, 315/128
1. What is the HCF of 291,315?
The HCF of 291,315 is 3
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 291/262, 315/128?
Answer: GCF of Numerators as per given numbers 291/262, 315/128 is
GCF of Numerators i.e. for 291,315 is 3
LCM of denominators i.e. for 262,128 is 16768.
Thus, GCF of Fractions is 3/16768.Finally, GCF of Fractions for 291/262, 315/128 is 3/16768.