Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7094/53,9578/818
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 7094,9578
Greatest Common Factor of Numerators i.e. GCF of 7094,9578 is 2 .
LCM of Denominators means LCM of 53,818 as per the given fractions.
LCM of 53,818 is 43354 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7094,9578
2 | 7094, 9578 |
3547, 4789 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7094
List of positive integer factors of 7094 that divides 7094 without a remainder.
1,2,3547,7094
Factors of 9578
List of positive integer factors of 9578 that divides 9578 without a remainder.
1,2,4789,9578
Greatest Common Factor
We found the factors 7094,9578 . The biggest common factor number is the GCF number.
So the greatest common factor 7094,9578 is 2.
Lets's calculate LCM of 53,818
Given numbers has no common factors except 1. So, there LCM is their product i.e 43354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43354
Therefore, the GCF of Fractions 7094/53,9578/818 is 2/43354
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 53,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,818) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,818) x common factors =1 x 1 = 1
LCM(53,818) = ( 53 × 818 ) / 1
LCM(53,818) = 43354 / 1
LCM(53,818) = 43354
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 7094/53, 9578/818?
Answer: GCF of Numerators as per given numbers 7094/53, 9578/818 is
GCF of Numerators i.e. for 7094,9578 is 2
LCM of denominators i.e. for 53,818 is 43354.
Thus, GCF of Fractions is 2/43354.Finally, GCF of Fractions for 7094/53, 9578/818 is 2/43354.