Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1340/668,7868/9533
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 1340,7868
Greatest Common Factor of Numerators i.e. GCF of 1340,7868 is 4 .
LCM of Denominators means LCM of 668,9533 as per the given fractions.
LCM of 668,9533 is 6368044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1340,7868
2 | 1340, 7868 |
2 | 670, 3934 |
335, 1967 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1340
List of positive integer factors of 1340 that divides 1340 without a remainder.
1,2,4,5,10,20,67,134,268,335,670,1340
Factors of 7868
List of positive integer factors of 7868 that divides 7868 without a remainder.
1,2,4,7,14,28,281,562,1124,1967,3934,7868
Greatest Common Factor
We found the factors 1340,7868 . The biggest common factor number is the GCF number.
So the greatest common factor 1340,7868 is 4.
Lets's calculate LCM of 668,9533
Given numbers has no common factors except 1. So, there LCM is their product i.e 6368044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6368044
Therefore, the GCF of Fractions 1340/668,7868/9533 is 4/6368044
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 668,9533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,9533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,9533) x common factors =1 x 1 = 1
LCM(668,9533) = ( 668 × 9533 ) / 1
LCM(668,9533) = 6368044 / 1
LCM(668,9533) = 6368044
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 1340/668, 7868/9533?
Answer: GCF of Numerators as per given numbers 1340/668, 7868/9533 is
GCF of Numerators i.e. for 1340,7868 is 4
LCM of denominators i.e. for 668,9533 is 6368044.
Thus, GCF of Fractions is 4/6368044.Finally, GCF of Fractions for 1340/668, 7868/9533 is 4/6368044.