Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9910/85,9349/357
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 9910,9349
Greatest Common Factor of Numerators i.e. GCF of 9910,9349 is 1 .
LCM of Denominators means LCM of 85,357 as per the given fractions.
LCM of 85,357 is 1785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9910,9349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9910
List of positive integer factors of 9910 that divides 9910 without a remainder.
1,2,5,10,991,1982,4955,9910
Factors of 9349
List of positive integer factors of 9349 that divides 9349 without a remainder.
1,9349
Greatest Common Factor
We found the factors 9910,9349 . The biggest common factor number is the GCF number.
So the greatest common factor 9910,9349 is 1.
Lets's calculate LCM of 85,357
17 | 85, 357 |
5, 21 |
∴ So the LCM of the given numbers is 17 x 5 x 21 = 1785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1785
Therefore, the GCF of Fractions 9910/85,9349/357 is 1/1785
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 85,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,357) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(85,357) x common factors =17 x 1 = 17
LCM(85,357) = ( 85 × 357 ) / 17
LCM(85,357) = 30345 / 17
LCM(85,357) = 1785
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 9910/85, 9349/357?
Answer: GCF of Numerators as per given numbers 9910/85, 9349/357 is
GCF of Numerators i.e. for 9910,9349 is 1
LCM of denominators i.e. for 85,357 is 1785.
Thus, GCF of Fractions is 1/1785.Finally, GCF of Fractions for 9910/85, 9349/357 is 1/1785.