Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 730/94,346/55,131/465
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 730,346,131
Greatest Common Factor of Numerators i.e. GCF of 730,346,131 is 1 .
LCM of Denominators means LCM of 94,55,465 as per the given fractions.
LCM of 94,55,465 is 480810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 730,346,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 730,346,131 . The biggest common factor number is the GCF number.
So the greatest common factor 730,346,131 is 1.
Lets's calculate LCM of 94,55,465
5 | 94, 55, 465 |
94, 11, 93 |
∴ So the LCM of the given numbers is 5 x 94 x 11 x 93 = 480810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480810
Therefore, the GCF of Fractions 730/94,346/55,131/465 is 1/480810
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 94,55,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,55,465) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(94,55,465) x common factors =1 x 5 = 5
LCM(94,55,465) = ( 94 × 55 × 465 ) / 5
LCM(94,55,465) = 2404050 / 5
LCM(94,55,465) = 480810
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 730/94, 346/55, 131/465?
Answer: GCF of Numerators as per given numbers 730/94, 346/55, 131/465 is
GCF of Numerators i.e. for 730,346,131 is 1
LCM of denominators i.e. for 94,55,465 is 480810.
Thus, GCF of Fractions is 1/480810.Finally, GCF of Fractions for 730/94, 346/55, 131/465 is 1/480810.