Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2713/911,2356/876
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 2713,2356
Greatest Common Factor of Numerators i.e. GCF of 2713,2356 is 1 .
LCM of Denominators means LCM of 911,876 as per the given fractions.
LCM of 911,876 is 798036 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2713,2356
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2713
List of positive integer factors of 2713 that divides 2713 without a remainder.
1,2713
Factors of 2356
List of positive integer factors of 2356 that divides 2356 without a remainder.
1,2,4,19,31,38,62,76,124,589,1178,2356
Greatest Common Factor
We found the factors 2713,2356 . The biggest common factor number is the GCF number.
So the greatest common factor 2713,2356 is 1.
Lets's calculate LCM of 911,876
Given numbers has no common factors except 1. So, there LCM is their product i.e 798036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798036
Therefore, the GCF of Fractions 2713/911,2356/876 is 1/798036
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 911,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,876) x common factors =1 x 1 = 1
LCM(911,876) = ( 911 × 876 ) / 1
LCM(911,876) = 798036 / 1
LCM(911,876) = 798036
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 2713/911, 2356/876?
Answer: GCF of Numerators as per given numbers 2713/911, 2356/876 is
GCF of Numerators i.e. for 2713,2356 is 1
LCM of denominators i.e. for 911,876 is 798036.
Thus, GCF of Fractions is 1/798036.Finally, GCF of Fractions for 2713/911, 2356/876 is 1/798036.