Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/90,86/302,737/986
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 34,86,737
Greatest Common Factor of Numerators i.e. GCF of 34,86,737 is 1 .
LCM of Denominators means LCM of 90,302,986 as per the given fractions.
LCM of 90,302,986 is 6699870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,86,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 34,86,737 . The biggest common factor number is the GCF number.
So the greatest common factor 34,86,737 is 1.
Lets's calculate LCM of 90,302,986
2 | 90, 302, 986 |
45, 151, 493 |
∴ So the LCM of the given numbers is 2 x 45 x 151 x 493 = 6699870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6699870
Therefore, the GCF of Fractions 34/90,86/302,737/986 is 1/6699870
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 90,302,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,302,986) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(90,302,986) x common factors =2 x 2 = 4
LCM(90,302,986) = ( 90 × 302 × 986 ) / 4
LCM(90,302,986) = 26799480 / 4
LCM(90,302,986) = 6699870
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 34/90, 86/302, 737/986?
Answer: GCF of Numerators as per given numbers 34/90, 86/302, 737/986 is
GCF of Numerators i.e. for 34,86,737 is 1
LCM of denominators i.e. for 90,302,986 is 6699870.
Thus, GCF of Fractions is 1/6699870.Finally, GCF of Fractions for 34/90, 86/302, 737/986 is 1/6699870.