Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9927/382,7312/5210
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 9927,7312
Greatest Common Factor of Numerators i.e. GCF of 9927,7312 is 1 .
LCM of Denominators means LCM of 382,5210 as per the given fractions.
LCM of 382,5210 is 995110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9927,7312
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9927
List of positive integer factors of 9927 that divides 9927 without a remainder.
1,3,9,1103,3309,9927
Factors of 7312
List of positive integer factors of 7312 that divides 7312 without a remainder.
1,2,4,8,16,457,914,1828,3656,7312
Greatest Common Factor
We found the factors 9927,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 9927,7312 is 1.
Lets's calculate LCM of 382,5210
2 | 382, 5210 |
191, 2605 |
∴ So the LCM of the given numbers is 2 x 191 x 2605 = 995110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/995110
Therefore, the GCF of Fractions 9927/382,7312/5210 is 1/995110
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 382,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,5210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,5210) x common factors =2 x 1 = 2
LCM(382,5210) = ( 382 × 5210 ) / 2
LCM(382,5210) = 1990220 / 2
LCM(382,5210) = 995110
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 9927/382, 7312/5210?
Answer: GCF of Numerators as per given numbers 9927/382, 7312/5210 is
GCF of Numerators i.e. for 9927,7312 is 1
LCM of denominators i.e. for 382,5210 is 995110.
Thus, GCF of Fractions is 1/995110.Finally, GCF of Fractions for 9927/382, 7312/5210 is 1/995110.