Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/49,36/86,94/574,165/488
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 3,36,94,165
Greatest Common Factor of Numerators i.e. GCF of 3,36,94,165 is 1 .
LCM of Denominators means LCM of 49,86,574,488 as per the given fractions.
LCM of 49,86,574,488 is 42156856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,36,94,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 3,36,94,165 . The biggest common factor number is the GCF number.
So the greatest common factor 3,36,94,165 is 1.
Lets's calculate LCM of 49,86,574,488
2 | 49, 86, 574, 488 |
7 | 49, 43, 287, 244 |
7, 43, 41, 244 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 43 x 41 x 244 = 42156856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42156856
Therefore, the GCF of Fractions 3/49,36/86,94/574,165/488 is 1/42156856
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 49,86,574,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,86,574,488) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(49,86,574,488) x common factors =1 x 28 = 28
LCM(49,86,574,488) = ( 49 × 86 × 574 × 488 ) / 28
LCM(49,86,574,488) = 1180391968 / 28
LCM(49,86,574,488) = 42156856
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 3/49, 36/86, 94/574, 165/488?
Answer: GCF of Numerators as per given numbers 3/49, 36/86, 94/574, 165/488 is
GCF of Numerators i.e. for 3,36,94,165 is 1
LCM of denominators i.e. for 49,86,574,488 is 42156856.
Thus, GCF of Fractions is 1/42156856.Finally, GCF of Fractions for 3/49, 36/86, 94/574, 165/488 is 1/42156856.