Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9754/333,6924/8676
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 9754,6924
Greatest Common Factor of Numerators i.e. GCF of 9754,6924 is 2 .
LCM of Denominators means LCM of 333,8676 as per the given fractions.
LCM of 333,8676 is 321012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9754,6924
2 | 9754, 6924 |
4877, 3462 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9754
List of positive integer factors of 9754 that divides 9754 without a remainder.
1,2,4877,9754
Factors of 6924
List of positive integer factors of 6924 that divides 6924 without a remainder.
1,2,3,4,6,12,577,1154,1731,2308,3462,6924
Greatest Common Factor
We found the factors 9754,6924 . The biggest common factor number is the GCF number.
So the greatest common factor 9754,6924 is 2.
Lets's calculate LCM of 333,8676
3 | 333, 8676 |
3 | 111, 2892 |
37, 964 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 964 = 321012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321012
Therefore, the GCF of Fractions 9754/333,6924/8676 is 2/321012
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 333,8676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,8676) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(333,8676) x common factors =9 x 1 = 9
LCM(333,8676) = ( 333 × 8676 ) / 9
LCM(333,8676) = 2889108 / 9
LCM(333,8676) = 321012
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 9754/333, 6924/8676?
Answer: GCF of Numerators as per given numbers 9754/333, 6924/8676 is
GCF of Numerators i.e. for 9754,6924 is 2
LCM of denominators i.e. for 333,8676 is 321012.
Thus, GCF of Fractions is 2/321012.Finally, GCF of Fractions for 9754/333, 6924/8676 is 2/321012.