Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 209/98,937/82,532/132
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 209,937,532
Greatest Common Factor of Numerators i.e. GCF of 209,937,532 is 1 .
LCM of Denominators means LCM of 98,82,132 as per the given fractions.
LCM of 98,82,132 is 265188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 209,937,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 209,937,532 . The biggest common factor number is the GCF number.
So the greatest common factor 209,937,532 is 1.
Lets's calculate LCM of 98,82,132
2 | 98, 82, 132 |
49, 41, 66 |
∴ So the LCM of the given numbers is 2 x 49 x 41 x 66 = 265188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265188
Therefore, the GCF of Fractions 209/98,937/82,532/132 is 1/265188
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 98,82,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,82,132) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,82,132) x common factors =2 x 2 = 4
LCM(98,82,132) = ( 98 × 82 × 132 ) / 4
LCM(98,82,132) = 1060752 / 4
LCM(98,82,132) = 265188
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 209/98, 937/82, 532/132?
Answer: GCF of Numerators as per given numbers 209/98, 937/82, 532/132 is
GCF of Numerators i.e. for 209,937,532 is 1
LCM of denominators i.e. for 98,82,132 is 265188.
Thus, GCF of Fractions is 1/265188.Finally, GCF of Fractions for 209/98, 937/82, 532/132 is 1/265188.