GCF of 777/153, 7916/267
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 777/153, 7916/267 i.e 1/13617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/153, 7916/267.
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 777/153,7916/267?
Given fractions are 777/153,7916/267
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 777/153,7916/267, numerators are 777,7916
Denominators are 153,267
The GCF of 777,7916 is 1 .
LCM of 153,267 is 13617.
The greatest common factor of 777/153,7916/267 = [GCF of 777,7916]/[LCM of 153,267]= 1/13617
Therefore, the GCF of 777/153,7916/267 is 1/13617.
To find the highest common factor of 777,7916, we have to find the factors of both numbers and list the highest common factor.
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The factors of 7916 are 1, 2, 4, 1979, 3958, 7916
The HCF of 777,7916 is 1.
Lets's calculate GCF of 777,7916
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 777,7916 By Matching Biggest Common Factor Method
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Now, list down the factors of 7916
:1,2,4,1979,3958,7916
Greatest Common Factor
We found the factors 777,7916 . The biggest common factor number is the GCF number.
So the greatest common factor 777,7916 is 1.
Lets's calculate LCM of 153,267
| 3 | 153, 267 |
| 51, 89 |
∴ So the LCM of the given numbers is 3 x 51 x 89 = 13617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13617
Therefore, the GCF of Fractions 777/153,7916/267 is 1/13617
Least Common Multiple of 153,267 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 153,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,267) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,267) x common factors =3 x 1 = 3
LCM(153,267) = ( 153 × 267 ) / 3
LCM(153,267) = 40851 / 3
LCM(153,267) = 13617
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 777/153, 7916/267
1. What is the HCF of 777,7916?
The HCF of 777,7916 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 777/153, 7916/267?
Answer: GCF of Numerators as per given numbers 777/153, 7916/267 is
GCF of Numerators i.e. for 777,7916 is 1
LCM of denominators i.e. for 153,267 is 13617.
Thus, GCF of Fractions is 1/13617.Finally, GCF of Fractions for 777/153, 7916/267 is 1/13617.