Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/179,467/195,111/549
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 988,467,111
Greatest Common Factor of Numerators i.e. GCF of 988,467,111 is 1 .
LCM of Denominators means LCM of 179,195,549 as per the given fractions.
LCM of 179,195,549 is 6387615 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 988,467,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 467
List of positive integer factors of 467 that divides 467 without a remainder.
1,467
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 988,467,111 . The biggest common factor number is the GCF number.
So the greatest common factor 988,467,111 is 1.
Lets's calculate LCM of 179,195,549
3 | 179, 195, 549 |
179, 65, 183 |
∴ So the LCM of the given numbers is 3 x 179 x 65 x 183 = 6387615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6387615
Therefore, the GCF of Fractions 988/179,467/195,111/549 is 1/6387615
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 179,195,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,195,549) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(179,195,549) x common factors =1 x 3 = 3
LCM(179,195,549) = ( 179 × 195 × 549 ) / 3
LCM(179,195,549) = 19162845 / 3
LCM(179,195,549) = 6387615
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 988/179, 467/195, 111/549?
Answer: GCF of Numerators as per given numbers 988/179, 467/195, 111/549 is
GCF of Numerators i.e. for 988,467,111 is 1
LCM of denominators i.e. for 179,195,549 is 6387615.
Thus, GCF of Fractions is 1/6387615.Finally, GCF of Fractions for 988/179, 467/195, 111/549 is 1/6387615.