Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7458/553,1468/2890
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 7458,1468
Greatest Common Factor of Numerators i.e. GCF of 7458,1468 is 2 .
LCM of Denominators means LCM of 553,2890 as per the given fractions.
LCM of 553,2890 is 1598170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7458,1468
2 | 7458, 1468 |
3729, 734 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7458
List of positive integer factors of 7458 that divides 7458 without a remainder.
1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458
Factors of 1468
List of positive integer factors of 1468 that divides 1468 without a remainder.
1,2,4,367,734,1468
Greatest Common Factor
We found the factors 7458,1468 . The biggest common factor number is the GCF number.
So the greatest common factor 7458,1468 is 2.
Lets's calculate LCM of 553,2890
Given numbers has no common factors except 1. So, there LCM is their product i.e 1598170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1598170
Therefore, the GCF of Fractions 7458/553,1468/2890 is 2/1598170
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 553,2890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,2890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,2890) x common factors =1 x 1 = 1
LCM(553,2890) = ( 553 × 2890 ) / 1
LCM(553,2890) = 1598170 / 1
LCM(553,2890) = 1598170
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 7458/553, 1468/2890?
Answer: GCF of Numerators as per given numbers 7458/553, 1468/2890 is
GCF of Numerators i.e. for 7458,1468 is 2
LCM of denominators i.e. for 553,2890 is 1598170.
Thus, GCF of Fractions is 2/1598170.Finally, GCF of Fractions for 7458/553, 1468/2890 is 2/1598170.