Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7903/336,2818/2785
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 7903,2818
Greatest Common Factor of Numerators i.e. GCF of 7903,2818 is 1 .
LCM of Denominators means LCM of 336,2785 as per the given fractions.
LCM of 336,2785 is 935760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7903,2818
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7903
List of positive integer factors of 7903 that divides 7903 without a remainder.
1,7,1129,7903
Factors of 2818
List of positive integer factors of 2818 that divides 2818 without a remainder.
1,2,1409,2818
Greatest Common Factor
We found the factors 7903,2818 . The biggest common factor number is the GCF number.
So the greatest common factor 7903,2818 is 1.
Lets's calculate LCM of 336,2785
Given numbers has no common factors except 1. So, there LCM is their product i.e 935760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/935760
Therefore, the GCF of Fractions 7903/336,2818/2785 is 1/935760
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 336,2785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,2785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(336,2785) x common factors =1 x 1 = 1
LCM(336,2785) = ( 336 × 2785 ) / 1
LCM(336,2785) = 935760 / 1
LCM(336,2785) = 935760
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 7903/336, 2818/2785?
Answer: GCF of Numerators as per given numbers 7903/336, 2818/2785 is
GCF of Numerators i.e. for 7903,2818 is 1
LCM of denominators i.e. for 336,2785 is 935760.
Thus, GCF of Fractions is 1/935760.Finally, GCF of Fractions for 7903/336, 2818/2785 is 1/935760.