Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 126/783,6758/8990
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 126,6758
Greatest Common Factor of Numerators i.e. GCF of 126,6758 is 2 .
LCM of Denominators means LCM of 783,8990 as per the given fractions.
LCM of 783,8990 is 242730 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 126,6758
2 | 126, 6758 |
63, 3379 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 6758
List of positive integer factors of 6758 that divides 6758 without a remainder.
1,2,31,62,109,218,3379,6758
Greatest Common Factor
We found the factors 126,6758 . The biggest common factor number is the GCF number.
So the greatest common factor 126,6758 is 2.
Lets's calculate LCM of 783,8990
29 | 783, 8990 |
27, 310 |
∴ So the LCM of the given numbers is 29 x 27 x 310 = 242730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/242730
Therefore, the GCF of Fractions 126/783,6758/8990 is 2/242730
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 783,8990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,8990) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(783,8990) x common factors =29 x 1 = 29
LCM(783,8990) = ( 783 × 8990 ) / 29
LCM(783,8990) = 7039170 / 29
LCM(783,8990) = 242730
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 126/783, 6758/8990?
Answer: GCF of Numerators as per given numbers 126/783, 6758/8990 is
GCF of Numerators i.e. for 126,6758 is 2
LCM of denominators i.e. for 783,8990 is 242730.
Thus, GCF of Fractions is 2/242730.Finally, GCF of Fractions for 126/783, 6758/8990 is 2/242730.