Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/62,95/519,988/298
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 95,95,988
Greatest Common Factor of Numerators i.e. GCF of 95,95,988 is 19 .
LCM of Denominators means LCM of 62,519,298 as per the given fractions.
LCM of 62,519,298 is 4794522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,95,988
19 | 95, 95, 988 |
5, 5, 52 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
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
Greatest Common Factor
We found the factors 95,95,988 . The biggest common factor number is the GCF number.
So the greatest common factor 95,95,988 is 19.
Lets's calculate LCM of 62,519,298
2 | 62, 519, 298 |
31, 519, 149 |
∴ So the LCM of the given numbers is 2 x 31 x 519 x 149 = 4794522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4794522
Therefore, the GCF of Fractions 95/62,95/519,988/298 is 19/4794522
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 62,519,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,519,298) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,519,298) x common factors =1 x 2 = 2
LCM(62,519,298) = ( 62 × 519 × 298 ) / 2
LCM(62,519,298) = 9589044 / 2
LCM(62,519,298) = 4794522
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 95/62, 95/519, 988/298?
Answer: GCF of Numerators as per given numbers 95/62, 95/519, 988/298 is
GCF of Numerators i.e. for 95,95,988 is 19
LCM of denominators i.e. for 62,519,298 is 4794522.
Thus, GCF of Fractions is 19/4794522.Finally, GCF of Fractions for 95/62, 95/519, 988/298 is 19/4794522.