Use our free GCF of Fractions Calculator tool to compute the GCF of 776/26, 485/530 i.e 97/6890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/26, 485/530.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/26,485/530
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 776/26,485/530, numerators are 776,485
Denominators are 26,530
The GCF of 776,485 is 97 .
LCM of 26,530 is 6890.
The greatest common factor of 776/26,485/530 = [GCF of 776,485]/[LCM of 26,530]= 97/6890
Therefore, the GCF of 776/26,485/530 is 97/6890.
To find the highest common factor of 776,485, we have to find the factors of both numbers and list the highest common factor.
The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776
The factors of 485 are 1, 5, 97, 485
The HCF of 776,485 is 97.
Lets's calculate GCF of 776,485
97 | 776, 485 |
8, 5 |
∴ So the GCF of the given numbers is 97 = 97
Now, list down the factors of 776
:1,2,4,8,97,194,388,776
Now, list down the factors of 485
:1,5,97,485
Greatest Common Factor
We found the factors 776,485 . The biggest common factor number is the GCF number.
So the greatest common factor 776,485 is 97.
Lets's calculate LCM of 26,530
2 | 26, 530 |
13, 265 |
∴ So the LCM of the given numbers is 2 x 13 x 265 = 6890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/6890
Therefore, the GCF of Fractions 776/26,485/530 is 97/6890
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 26,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,530) x common factors =2 x 1 = 2
LCM(26,530) = ( 26 × 530 ) / 2
LCM(26,530) = 13780 / 2
LCM(26,530) = 6890
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 776,485?
The HCF of 776,485 is 97
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 776/26, 485/530?
Answer: GCF of Numerators as per given numbers 776/26, 485/530 is
GCF of Numerators i.e. for 776,485 is 97
LCM of denominators i.e. for 26,530 is 6890.
Thus, GCF of Fractions is 97/6890.Finally, GCF of Fractions for 776/26, 485/530 is 97/6890.