Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1324/623,3481/7752
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 1324,3481
Greatest Common Factor of Numerators i.e. GCF of 1324,3481 is 1 .
LCM of Denominators means LCM of 623,7752 as per the given fractions.
LCM of 623,7752 is 4829496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1324,3481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1324
List of positive integer factors of 1324 that divides 1324 without a remainder.
1,2,4,331,662,1324
Factors of 3481
List of positive integer factors of 3481 that divides 3481 without a remainder.
1,59,3481
Greatest Common Factor
We found the factors 1324,3481 . The biggest common factor number is the GCF number.
So the greatest common factor 1324,3481 is 1.
Lets's calculate LCM of 623,7752
Given numbers has no common factors except 1. So, there LCM is their product i.e 4829496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4829496
Therefore, the GCF of Fractions 1324/623,3481/7752 is 1/4829496
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 623,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,7752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,7752) x common factors =1 x 1 = 1
LCM(623,7752) = ( 623 × 7752 ) / 1
LCM(623,7752) = 4829496 / 1
LCM(623,7752) = 4829496
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 1324/623, 3481/7752?
Answer: GCF of Numerators as per given numbers 1324/623, 3481/7752 is
GCF of Numerators i.e. for 1324,3481 is 1
LCM of denominators i.e. for 623,7752 is 4829496.
Thus, GCF of Fractions is 1/4829496.Finally, GCF of Fractions for 1324/623, 3481/7752 is 1/4829496.