Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5540/86,4975/196
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 5540,4975
Greatest Common Factor of Numerators i.e. GCF of 5540,4975 is 5 .
LCM of Denominators means LCM of 86,196 as per the given fractions.
LCM of 86,196 is 8428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5540,4975
5 | 5540, 4975 |
1108, 995 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5540
List of positive integer factors of 5540 that divides 5540 without a remainder.
1,2,4,5,10,20,277,554,1108,1385,2770,5540
Factors of 4975
List of positive integer factors of 4975 that divides 4975 without a remainder.
1,5,25,199,995,4975
Greatest Common Factor
We found the factors 5540,4975 . The biggest common factor number is the GCF number.
So the greatest common factor 5540,4975 is 5.
Lets's calculate LCM of 86,196
2 | 86, 196 |
43, 98 |
∴ So the LCM of the given numbers is 2 x 43 x 98 = 8428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8428
Therefore, the GCF of Fractions 5540/86,4975/196 is 5/8428
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 86,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,196) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,196) x common factors =2 x 1 = 2
LCM(86,196) = ( 86 × 196 ) / 2
LCM(86,196) = 16856 / 2
LCM(86,196) = 8428
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 5540/86, 4975/196?
Answer: GCF of Numerators as per given numbers 5540/86, 4975/196 is
GCF of Numerators i.e. for 5540,4975 is 5
LCM of denominators i.e. for 86,196 is 8428.
Thus, GCF of Fractions is 5/8428.Finally, GCF of Fractions for 5540/86, 4975/196 is 5/8428.