Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9220/174,3459/841
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 9220,3459
Greatest Common Factor of Numerators i.e. GCF of 9220,3459 is 1 .
LCM of Denominators means LCM of 174,841 as per the given fractions.
LCM of 174,841 is 5046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9220,3459
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9220
List of positive integer factors of 9220 that divides 9220 without a remainder.
1,2,4,5,10,20,461,922,1844,2305,4610,9220
Factors of 3459
List of positive integer factors of 3459 that divides 3459 without a remainder.
1,3,1153,3459
Greatest Common Factor
We found the factors 9220,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 9220,3459 is 1.
Lets's calculate LCM of 174,841
29 | 174, 841 |
6, 29 |
∴ So the LCM of the given numbers is 29 x 6 x 29 = 5046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5046
Therefore, the GCF of Fractions 9220/174,3459/841 is 1/5046
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 174,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,841) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(174,841) x common factors =29 x 1 = 29
LCM(174,841) = ( 174 × 841 ) / 29
LCM(174,841) = 146334 / 29
LCM(174,841) = 5046
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 9220/174, 3459/841?
Answer: GCF of Numerators as per given numbers 9220/174, 3459/841 is
GCF of Numerators i.e. for 9220,3459 is 1
LCM of denominators i.e. for 174,841 is 5046.
Thus, GCF of Fractions is 1/5046.Finally, GCF of Fractions for 9220/174, 3459/841 is 1/5046.