Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5510/22,2347/332
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 5510,2347
Greatest Common Factor of Numerators i.e. GCF of 5510,2347 is 1 .
LCM of Denominators means LCM of 22,332 as per the given fractions.
LCM of 22,332 is 3652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5510,2347
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5510
List of positive integer factors of 5510 that divides 5510 without a remainder.
1,2,5,10,19,29,38,58,95,145,190,290,551,1102,2755,5510
Factors of 2347
List of positive integer factors of 2347 that divides 2347 without a remainder.
1,2347
Greatest Common Factor
We found the factors 5510,2347 . The biggest common factor number is the GCF number.
So the greatest common factor 5510,2347 is 1.
Lets's calculate LCM of 22,332
2 | 22, 332 |
11, 166 |
∴ So the LCM of the given numbers is 2 x 11 x 166 = 3652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3652
Therefore, the GCF of Fractions 5510/22,2347/332 is 1/3652
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 22,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,332) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,332) x common factors =2 x 1 = 2
LCM(22,332) = ( 22 × 332 ) / 2
LCM(22,332) = 7304 / 2
LCM(22,332) = 3652
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 5510/22, 2347/332?
Answer: GCF of Numerators as per given numbers 5510/22, 2347/332 is
GCF of Numerators i.e. for 5510,2347 is 1
LCM of denominators i.e. for 22,332 is 3652.
Thus, GCF of Fractions is 1/3652.Finally, GCF of Fractions for 5510/22, 2347/332 is 1/3652.