Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9843/608,6267/7796
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 9843,6267
Greatest Common Factor of Numerators i.e. GCF of 9843,6267 is 3 .
LCM of Denominators means LCM of 608,7796 as per the given fractions.
LCM of 608,7796 is 1184992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9843,6267
3 | 9843, 6267 |
3281, 2089 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9843
List of positive integer factors of 9843 that divides 9843 without a remainder.
1,3,17,51,193,579,3281,9843
Factors of 6267
List of positive integer factors of 6267 that divides 6267 without a remainder.
1,3,2089,6267
Greatest Common Factor
We found the factors 9843,6267 . The biggest common factor number is the GCF number.
So the greatest common factor 9843,6267 is 3.
Lets's calculate LCM of 608,7796
2 | 608, 7796 |
2 | 304, 3898 |
152, 1949 |
∴ So the LCM of the given numbers is 2 x 2 x 152 x 1949 = 1184992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1184992
Therefore, the GCF of Fractions 9843/608,6267/7796 is 3/1184992
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 608,7796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,7796) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(608,7796) x common factors =4 x 1 = 4
LCM(608,7796) = ( 608 × 7796 ) / 4
LCM(608,7796) = 4739968 / 4
LCM(608,7796) = 1184992
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 9843/608, 6267/7796?
Answer: GCF of Numerators as per given numbers 9843/608, 6267/7796 is
GCF of Numerators i.e. for 9843,6267 is 3
LCM of denominators i.e. for 608,7796 is 1184992.
Thus, GCF of Fractions is 3/1184992.Finally, GCF of Fractions for 9843/608, 6267/7796 is 3/1184992.