Use our free GCF of Fractions Calculator tool to compute the GCF of 13/682, 711/419, 146/490 i.e 1/70010710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/682, 711/419, 146/490.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/682,711/419,146/490
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 13/682,711/419,146/490, numerators are 13,711,146
Denominators are 682,419,490
The GCF of 13,711,146 is 1 .
LCM of 682,419,490 is 70010710.
The greatest common factor of 13/682,711/419,146/490 = [GCF of 13,711,146]/[LCM of 682,419,490]= 1/70010710
Therefore, the GCF of 13/682,711/419,146/490 is 1/70010710.
To find the highest common factor of 13,711,146, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 711 are 1, 3, 9, 79, 237, 711
The factors of 146 are 1, 2, 73, 146
The HCF of 13,711,146 is 1.
Lets's calculate GCF of 13,711,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 711
:1,3,9,79,237,711
Now, list down the factors of 146
:1,2,73,146
Greatest Common Factor
We found the factors 13,711,146 . The biggest common factor number is the GCF number.
So the greatest common factor 13,711,146 is 1.
Lets's calculate LCM of 682,419,490
2 | 682, 419, 490 |
341, 419, 245 |
∴ So the LCM of the given numbers is 2 x 341 x 419 x 245 = 70010710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70010710
Therefore, the GCF of Fractions 13/682,711/419,146/490 is 1/70010710
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 682,419,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,419,490) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(682,419,490) x common factors =1 x 2 = 2
LCM(682,419,490) = ( 682 × 419 × 490 ) / 2
LCM(682,419,490) = 140021420 / 2
LCM(682,419,490) = 70010710
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,711,146?
The HCF of 13,711,146 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 13/682, 711/419, 146/490?
Answer: GCF of Numerators as per given numbers 13/682, 711/419, 146/490 is
GCF of Numerators i.e. for 13,711,146 is 1
LCM of denominators i.e. for 682,419,490 is 70010710.
Thus, GCF of Fractions is 1/70010710.Finally, GCF of Fractions for 13/682, 711/419, 146/490 is 1/70010710.