Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 117/996,6345/9569
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 117,6345
Greatest Common Factor of Numerators i.e. GCF of 117,6345 is 9 .
LCM of Denominators means LCM of 996,9569 as per the given fractions.
LCM of 996,9569 is 9530724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 117,6345
3 | 117, 6345 |
3 | 39, 2115 |
13, 705 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 6345
List of positive integer factors of 6345 that divides 6345 without a remainder.
1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Greatest Common Factor
We found the factors 117,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 117,6345 is 9.
Lets's calculate LCM of 996,9569
Given numbers has no common factors except 1. So, there LCM is their product i.e 9530724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9530724
Therefore, the GCF of Fractions 117/996,6345/9569 is 9/9530724
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 996,9569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,9569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(996,9569) x common factors =1 x 1 = 1
LCM(996,9569) = ( 996 × 9569 ) / 1
LCM(996,9569) = 9530724 / 1
LCM(996,9569) = 9530724
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 117/996, 6345/9569?
Answer: GCF of Numerators as per given numbers 117/996, 6345/9569 is
GCF of Numerators i.e. for 117,6345 is 9
LCM of denominators i.e. for 996,9569 is 9530724.
Thus, GCF of Fractions is 9/9530724.Finally, GCF of Fractions for 117/996, 6345/9569 is 9/9530724.