Use our free GCF of Fractions Calculator tool to compute the GCF of 779/52, 266/515 i.e 19/26780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 779/52, 266/515.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/52,266/515
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 779/52,266/515, numerators are 779,266
Denominators are 52,515
The GCF of 779,266 is 19 .
LCM of 52,515 is 26780.
The greatest common factor of 779/52,266/515 = [GCF of 779,266]/[LCM of 52,515]= 19/26780
Therefore, the GCF of 779/52,266/515 is 19/26780.
To find the highest common factor of 779,266, we have to find the factors of both numbers and list the highest common factor.
The factors of 779 are 1, 19, 41, 779
The factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266
The HCF of 779,266 is 19.
Lets's calculate GCF of 779,266
19 | 779, 266 |
41, 14 |
∴ So the GCF of the given numbers is 19 = 19
Now, list down the factors of 779
:1,19,41,779
Now, list down the factors of 266
:1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 779,266 . The biggest common factor number is the GCF number.
So the greatest common factor 779,266 is 19.
Lets's calculate LCM of 52,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 26780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/26780
Therefore, the GCF of Fractions 779/52,266/515 is 19/26780
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 52,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,515) x common factors =1 x 1 = 1
LCM(52,515) = ( 52 × 515 ) / 1
LCM(52,515) = 26780 / 1
LCM(52,515) = 26780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 779,266?
The HCF of 779,266 is 19
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 779/52, 266/515?
Answer: GCF of Numerators as per given numbers 779/52, 266/515 is
GCF of Numerators i.e. for 779,266 is 19
LCM of denominators i.e. for 52,515 is 26780.
Thus, GCF of Fractions is 19/26780.Finally, GCF of Fractions for 779/52, 266/515 is 19/26780.