Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/84,24/82,26/973,649/691
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7,24,26,649
Greatest Common Factor of Numerators i.e. GCF of 7,24,26,649 is 1 .
LCM of Denominators means LCM of 84,82,973,691 as per the given fractions.
LCM of 84,82,973,691 is 330792756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,24,26,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 7,24,26,649 . The biggest common factor number is the GCF number.
So the greatest common factor 7,24,26,649 is 1.
Lets's calculate LCM of 84,82,973,691
2 | 84, 82, 973, 691 |
7 | 42, 41, 973, 691 |
6, 41, 139, 691 |
∴ So the LCM of the given numbers is 2 x 7 x 6 x 41 x 139 x 691 = 330792756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330792756
Therefore, the GCF of Fractions 7/84,24/82,26/973,649/691 is 1/330792756
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 84,82,973,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,82,973,691) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(84,82,973,691) x common factors =1 x 14 = 14
LCM(84,82,973,691) = ( 84 × 82 × 973 × 691 ) / 14
LCM(84,82,973,691) = 4631098584 / 14
LCM(84,82,973,691) = 330792756
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 7/84, 24/82, 26/973, 649/691?
Answer: GCF of Numerators as per given numbers 7/84, 24/82, 26/973, 649/691 is
GCF of Numerators i.e. for 7,24,26,649 is 1
LCM of denominators i.e. for 84,82,973,691 is 330792756.
Thus, GCF of Fractions is 1/330792756.Finally, GCF of Fractions for 7/84, 24/82, 26/973, 649/691 is 1/330792756.