Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 883/749,3304/2755
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 883,3304
Greatest Common Factor of Numerators i.e. GCF of 883,3304 is 1 .
LCM of Denominators means LCM of 749,2755 as per the given fractions.
LCM of 749,2755 is 2063495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 883,3304
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 3304
List of positive integer factors of 3304 that divides 3304 without a remainder.
1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Greatest Common Factor
We found the factors 883,3304 . The biggest common factor number is the GCF number.
So the greatest common factor 883,3304 is 1.
Lets's calculate LCM of 749,2755
Given numbers has no common factors except 1. So, there LCM is their product i.e 2063495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2063495
Therefore, the GCF of Fractions 883/749,3304/2755 is 1/2063495
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 749,2755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,2755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,2755) x common factors =1 x 1 = 1
LCM(749,2755) = ( 749 × 2755 ) / 1
LCM(749,2755) = 2063495 / 1
LCM(749,2755) = 2063495
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 883/749, 3304/2755?
Answer: GCF of Numerators as per given numbers 883/749, 3304/2755 is
GCF of Numerators i.e. for 883,3304 is 1
LCM of denominators i.e. for 749,2755 is 2063495.
Thus, GCF of Fractions is 1/2063495.Finally, GCF of Fractions for 883/749, 3304/2755 is 1/2063495.