Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6909/91,6282/117
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 6909,6282
Greatest Common Factor of Numerators i.e. GCF of 6909,6282 is 3 .
LCM of Denominators means LCM of 91,117 as per the given fractions.
LCM of 91,117 is 819 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6909,6282
3 | 6909, 6282 |
2303, 2094 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6909
List of positive integer factors of 6909 that divides 6909 without a remainder.
1,3,7,21,47,49,141,147,329,987,2303,6909
Factors of 6282
List of positive integer factors of 6282 that divides 6282 without a remainder.
1,2,3,6,9,18,349,698,1047,2094,3141,6282
Greatest Common Factor
We found the factors 6909,6282 . The biggest common factor number is the GCF number.
So the greatest common factor 6909,6282 is 3.
Lets's calculate LCM of 91,117
13 | 91, 117 |
7, 9 |
∴ So the LCM of the given numbers is 13 x 7 x 9 = 819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/819
Therefore, the GCF of Fractions 6909/91,6282/117 is 3/819
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 91,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,117) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(91,117) x common factors =13 x 1 = 13
LCM(91,117) = ( 91 × 117 ) / 13
LCM(91,117) = 10647 / 13
LCM(91,117) = 819
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 6909/91, 6282/117?
Answer: GCF of Numerators as per given numbers 6909/91, 6282/117 is
GCF of Numerators i.e. for 6909,6282 is 3
LCM of denominators i.e. for 91,117 is 819.
Thus, GCF of Fractions is 3/819.Finally, GCF of Fractions for 6909/91, 6282/117 is 3/819.