Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/95,830/54,349/766
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 955,830,349
Greatest Common Factor of Numerators i.e. GCF of 955,830,349 is 1 .
LCM of Denominators means LCM of 95,54,766 as per the given fractions.
LCM of 95,54,766 is 1964790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 955,830,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 955,830,349 . The biggest common factor number is the GCF number.
So the greatest common factor 955,830,349 is 1.
Lets's calculate LCM of 95,54,766
2 | 95, 54, 766 |
95, 27, 383 |
∴ So the LCM of the given numbers is 2 x 95 x 27 x 383 = 1964790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1964790
Therefore, the GCF of Fractions 955/95,830/54,349/766 is 1/1964790
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 95,54,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,54,766) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,54,766) x common factors =1 x 2 = 2
LCM(95,54,766) = ( 95 × 54 × 766 ) / 2
LCM(95,54,766) = 3929580 / 2
LCM(95,54,766) = 1964790
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 955/95, 830/54, 349/766?
Answer: GCF of Numerators as per given numbers 955/95, 830/54, 349/766 is
GCF of Numerators i.e. for 955,830,349 is 1
LCM of denominators i.e. for 95,54,766 is 1964790.
Thus, GCF of Fractions is 1/1964790.Finally, GCF of Fractions for 955/95, 830/54, 349/766 is 1/1964790.