Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6948/908,5345/617
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 6948,5345
Greatest Common Factor of Numerators i.e. GCF of 6948,5345 is 1 .
LCM of Denominators means LCM of 908,617 as per the given fractions.
LCM of 908,617 is 560236 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6948,5345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6948
List of positive integer factors of 6948 that divides 6948 without a remainder.
1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948
Factors of 5345
List of positive integer factors of 5345 that divides 5345 without a remainder.
1,5,1069,5345
Greatest Common Factor
We found the factors 6948,5345 . The biggest common factor number is the GCF number.
So the greatest common factor 6948,5345 is 1.
Lets's calculate LCM of 908,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 560236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560236
Therefore, the GCF of Fractions 6948/908,5345/617 is 1/560236
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 908,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,617) x common factors =1 x 1 = 1
LCM(908,617) = ( 908 × 617 ) / 1
LCM(908,617) = 560236 / 1
LCM(908,617) = 560236
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 6948/908, 5345/617?
Answer: GCF of Numerators as per given numbers 6948/908, 5345/617 is
GCF of Numerators i.e. for 6948,5345 is 1
LCM of denominators i.e. for 908,617 is 560236.
Thus, GCF of Fractions is 1/560236.Finally, GCF of Fractions for 6948/908, 5345/617 is 1/560236.