Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3313/277,4340/1139
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 3313,4340
Greatest Common Factor of Numerators i.e. GCF of 3313,4340 is 1 .
LCM of Denominators means LCM of 277,1139 as per the given fractions.
LCM of 277,1139 is 315503 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3313,4340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3313
List of positive integer factors of 3313 that divides 3313 without a remainder.
1,3313
Factors of 4340
List of positive integer factors of 4340 that divides 4340 without a remainder.
1,2,4,5,7,10,14,20,28,31,35,62,70,124,140,155,217,310,434,620,868,1085,2170,4340
Greatest Common Factor
We found the factors 3313,4340 . The biggest common factor number is the GCF number.
So the greatest common factor 3313,4340 is 1.
Lets's calculate LCM of 277,1139
Given numbers has no common factors except 1. So, there LCM is their product i.e 315503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/315503
Therefore, the GCF of Fractions 3313/277,4340/1139 is 1/315503
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 277,1139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,1139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,1139) x common factors =1 x 1 = 1
LCM(277,1139) = ( 277 × 1139 ) / 1
LCM(277,1139) = 315503 / 1
LCM(277,1139) = 315503
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 3313/277, 4340/1139?
Answer: GCF of Numerators as per given numbers 3313/277, 4340/1139 is
GCF of Numerators i.e. for 3313,4340 is 1
LCM of denominators i.e. for 277,1139 is 315503.
Thus, GCF of Fractions is 1/315503.Finally, GCF of Fractions for 3313/277, 4340/1139 is 1/315503.