Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 977/32,386/91,160/414
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 977,386,160
Greatest Common Factor of Numerators i.e. GCF of 977,386,160 is 1 .
LCM of Denominators means LCM of 32,91,414 as per the given fractions.
LCM of 32,91,414 is 602784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 977,386,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 977,386,160 . The biggest common factor number is the GCF number.
So the greatest common factor 977,386,160 is 1.
Lets's calculate LCM of 32,91,414
2 | 32, 91, 414 |
16, 91, 207 |
∴ So the LCM of the given numbers is 2 x 16 x 91 x 207 = 602784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/602784
Therefore, the GCF of Fractions 977/32,386/91,160/414 is 1/602784
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 32,91,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,91,414) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,91,414) x common factors =1 x 2 = 2
LCM(32,91,414) = ( 32 × 91 × 414 ) / 2
LCM(32,91,414) = 1205568 / 2
LCM(32,91,414) = 602784
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 977/32, 386/91, 160/414?
Answer: GCF of Numerators as per given numbers 977/32, 386/91, 160/414 is
GCF of Numerators i.e. for 977,386,160 is 1
LCM of denominators i.e. for 32,91,414 is 602784.
Thus, GCF of Fractions is 1/602784.Finally, GCF of Fractions for 977/32, 386/91, 160/414 is 1/602784.