Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/98,93/666,574/986
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 92,93,574
Greatest Common Factor of Numerators i.e. GCF of 92,93,574 is 1 .
LCM of Denominators means LCM of 98,666,986 as per the given fractions.
LCM of 98,666,986 is 16088562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,93,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 92,93,574 . The biggest common factor number is the GCF number.
So the greatest common factor 92,93,574 is 1.
Lets's calculate LCM of 98,666,986
2 | 98, 666, 986 |
49, 333, 493 |
∴ So the LCM of the given numbers is 2 x 49 x 333 x 493 = 16088562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16088562
Therefore, the GCF of Fractions 92/98,93/666,574/986 is 1/16088562
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 98,666,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,666,986) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,666,986) x common factors =2 x 2 = 4
LCM(98,666,986) = ( 98 × 666 × 986 ) / 4
LCM(98,666,986) = 64354248 / 4
LCM(98,666,986) = 16088562
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 92/98, 93/666, 574/986?
Answer: GCF of Numerators as per given numbers 92/98, 93/666, 574/986 is
GCF of Numerators i.e. for 92,93,574 is 1
LCM of denominators i.e. for 98,666,986 is 16088562.
Thus, GCF of Fractions is 1/16088562.Finally, GCF of Fractions for 92/98, 93/666, 574/986 is 1/16088562.