Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 761/96,113/55,724/547
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 761,113,724
Greatest Common Factor of Numerators i.e. GCF of 761,113,724 is 1 .
LCM of Denominators means LCM of 96,55,547 as per the given fractions.
LCM of 96,55,547 is 2888160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 761,113,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 761,113,724 . The biggest common factor number is the GCF number.
So the greatest common factor 761,113,724 is 1.
Lets's calculate LCM of 96,55,547
Given numbers has no common factors except 1. So, there LCM is their product i.e 2888160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2888160
Therefore, the GCF of Fractions 761/96,113/55,724/547 is 1/2888160
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 96,55,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,55,547) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,55,547) x common factors =1 x 1 = 1
LCM(96,55,547) = ( 96 × 55 × 547 ) / 1
LCM(96,55,547) = 2888160 / 1
LCM(96,55,547) = 2888160
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 761/96, 113/55, 724/547?
Answer: GCF of Numerators as per given numbers 761/96, 113/55, 724/547 is
GCF of Numerators i.e. for 761,113,724 is 1
LCM of denominators i.e. for 96,55,547 is 2888160.
Thus, GCF of Fractions is 1/2888160.Finally, GCF of Fractions for 761/96, 113/55, 724/547 is 1/2888160.