Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5660/969,4627/1022
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 5660,4627
Greatest Common Factor of Numerators i.e. GCF of 5660,4627 is 1 .
LCM of Denominators means LCM of 969,1022 as per the given fractions.
LCM of 969,1022 is 990318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5660,4627
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5660
List of positive integer factors of 5660 that divides 5660 without a remainder.
1,2,4,5,10,20,283,566,1132,1415,2830,5660
Factors of 4627
List of positive integer factors of 4627 that divides 4627 without a remainder.
1,7,661,4627
Greatest Common Factor
We found the factors 5660,4627 . The biggest common factor number is the GCF number.
So the greatest common factor 5660,4627 is 1.
Lets's calculate LCM of 969,1022
Given numbers has no common factors except 1. So, there LCM is their product i.e 990318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990318
Therefore, the GCF of Fractions 5660/969,4627/1022 is 1/990318
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 969,1022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,1022) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,1022) x common factors =1 x 1 = 1
LCM(969,1022) = ( 969 × 1022 ) / 1
LCM(969,1022) = 990318 / 1
LCM(969,1022) = 990318
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 5660/969, 4627/1022?
Answer: GCF of Numerators as per given numbers 5660/969, 4627/1022 is
GCF of Numerators i.e. for 5660,4627 is 1
LCM of denominators i.e. for 969,1022 is 990318.
Thus, GCF of Fractions is 1/990318.Finally, GCF of Fractions for 5660/969, 4627/1022 is 1/990318.