Use our free GCF of Fractions Calculator tool to compute the GCF of 826/615, 714/809 i.e 14/497535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/615, 714/809.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/615,714/809
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 826/615,714/809, numerators are 826,714
Denominators are 615,809
The GCF of 826,714 is 14 .
LCM of 615,809 is 497535.
The greatest common factor of 826/615,714/809 = [GCF of 826,714]/[LCM of 615,809]= 14/497535
Therefore, the GCF of 826/615,714/809 is 14/497535.
To find the highest common factor of 826,714, we have to find the factors of both numbers and list the highest common factor.
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
The HCF of 826,714 is 14.
Lets's calculate GCF of 826,714
2 | 826, 714 |
7 | 413, 357 |
59, 51 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Now, list down the factors of 714
:1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 826,714 . The biggest common factor number is the GCF number.
So the greatest common factor 826,714 is 14.
Lets's calculate LCM of 615,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 497535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/497535
Therefore, the GCF of Fractions 826/615,714/809 is 14/497535
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 615,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,809) x common factors =1 x 1 = 1
LCM(615,809) = ( 615 × 809 ) / 1
LCM(615,809) = 497535 / 1
LCM(615,809) = 497535
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 826,714?
The HCF of 826,714 is 14
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 826/615, 714/809?
Answer: GCF of Numerators as per given numbers 826/615, 714/809 is
GCF of Numerators i.e. for 826,714 is 14
LCM of denominators i.e. for 615,809 is 497535.
Thus, GCF of Fractions is 14/497535.Finally, GCF of Fractions for 826/615, 714/809 is 14/497535.