Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1163/110,9462/279
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 1163,9462
Greatest Common Factor of Numerators i.e. GCF of 1163,9462 is 1 .
LCM of Denominators means LCM of 110,279 as per the given fractions.
LCM of 110,279 is 30690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1163,9462
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1163
List of positive integer factors of 1163 that divides 1163 without a remainder.
1,1163
Factors of 9462
List of positive integer factors of 9462 that divides 9462 without a remainder.
1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Greatest Common Factor
We found the factors 1163,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 1163,9462 is 1.
Lets's calculate LCM of 110,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 30690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30690
Therefore, the GCF of Fractions 1163/110,9462/279 is 1/30690
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 110,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(110,279) x common factors =1 x 1 = 1
LCM(110,279) = ( 110 × 279 ) / 1
LCM(110,279) = 30690 / 1
LCM(110,279) = 30690
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 1163/110, 9462/279?
Answer: GCF of Numerators as per given numbers 1163/110, 9462/279 is
GCF of Numerators i.e. for 1163,9462 is 1
LCM of denominators i.e. for 110,279 is 30690.
Thus, GCF of Fractions is 1/30690.Finally, GCF of Fractions for 1163/110, 9462/279 is 1/30690.