Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6516/354,2692/6425
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 6516,2692
Greatest Common Factor of Numerators i.e. GCF of 6516,2692 is 4 .
LCM of Denominators means LCM of 354,6425 as per the given fractions.
LCM of 354,6425 is 2274450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6516,2692
2 | 6516, 2692 |
2 | 3258, 1346 |
1629, 673 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6516
List of positive integer factors of 6516 that divides 6516 without a remainder.
1,2,3,4,6,9,12,18,36,181,362,543,724,1086,1629,2172,3258,6516
Factors of 2692
List of positive integer factors of 2692 that divides 2692 without a remainder.
1,2,4,673,1346,2692
Greatest Common Factor
We found the factors 6516,2692 . The biggest common factor number is the GCF number.
So the greatest common factor 6516,2692 is 4.
Lets's calculate LCM of 354,6425
Given numbers has no common factors except 1. So, there LCM is their product i.e 2274450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2274450
Therefore, the GCF of Fractions 6516/354,2692/6425 is 4/2274450
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 354,6425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,6425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,6425) x common factors =1 x 1 = 1
LCM(354,6425) = ( 354 × 6425 ) / 1
LCM(354,6425) = 2274450 / 1
LCM(354,6425) = 2274450
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 6516/354, 2692/6425?
Answer: GCF of Numerators as per given numbers 6516/354, 2692/6425 is
GCF of Numerators i.e. for 6516,2692 is 4
LCM of denominators i.e. for 354,6425 is 2274450.
Thus, GCF of Fractions is 4/2274450.Finally, GCF of Fractions for 6516/354, 2692/6425 is 4/2274450.