Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6924/35,2091/416
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 6924,2091
Greatest Common Factor of Numerators i.e. GCF of 6924,2091 is 3 .
LCM of Denominators means LCM of 35,416 as per the given fractions.
LCM of 35,416 is 14560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6924,2091
3 | 6924, 2091 |
2308, 697 |
∴ So the GCF of the given numbers is 3 = 3
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
Factors of 2091
List of positive integer factors of 2091 that divides 2091 without a remainder.
1,3,17,41,51,123,697,2091
Greatest Common Factor
We found the factors 6924,2091 . The biggest common factor number is the GCF number.
So the greatest common factor 6924,2091 is 3.
Lets's calculate LCM of 35,416
Given numbers has no common factors except 1. So, there LCM is their product i.e 14560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14560
Therefore, the GCF of Fractions 6924/35,2091/416 is 3/14560
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 35,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,416) x common factors =1 x 1 = 1
LCM(35,416) = ( 35 × 416 ) / 1
LCM(35,416) = 14560 / 1
LCM(35,416) = 14560
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 6924/35, 2091/416?
Answer: GCF of Numerators as per given numbers 6924/35, 2091/416 is
GCF of Numerators i.e. for 6924,2091 is 3
LCM of denominators i.e. for 35,416 is 14560.
Thus, GCF of Fractions is 3/14560.Finally, GCF of Fractions for 6924/35, 2091/416 is 3/14560.