Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2847/377,6478/3482
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 2847,6478
Greatest Common Factor of Numerators i.e. GCF of 2847,6478 is 1 .
LCM of Denominators means LCM of 377,3482 as per the given fractions.
LCM of 377,3482 is 1312714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2847,6478
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2847
List of positive integer factors of 2847 that divides 2847 without a remainder.
1,3,13,39,73,219,949,2847
Factors of 6478
List of positive integer factors of 6478 that divides 6478 without a remainder.
1,2,41,79,82,158,3239,6478
Greatest Common Factor
We found the factors 2847,6478 . The biggest common factor number is the GCF number.
So the greatest common factor 2847,6478 is 1.
Lets's calculate LCM of 377,3482
Given numbers has no common factors except 1. So, there LCM is their product i.e 1312714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1312714
Therefore, the GCF of Fractions 2847/377,6478/3482 is 1/1312714
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 377,3482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,3482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(377,3482) x common factors =1 x 1 = 1
LCM(377,3482) = ( 377 × 3482 ) / 1
LCM(377,3482) = 1312714 / 1
LCM(377,3482) = 1312714
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 2847/377, 6478/3482?
Answer: GCF of Numerators as per given numbers 2847/377, 6478/3482 is
GCF of Numerators i.e. for 2847,6478 is 1
LCM of denominators i.e. for 377,3482 is 1312714.
Thus, GCF of Fractions is 1/1312714.Finally, GCF of Fractions for 2847/377, 6478/3482 is 1/1312714.