Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/67,512/49,677/722
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 935,512,677
Greatest Common Factor of Numerators i.e. GCF of 935,512,677 is 1 .
LCM of Denominators means LCM of 67,49,722 as per the given fractions.
LCM of 67,49,722 is 2370326 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 935,512,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 935,512,677 . The biggest common factor number is the GCF number.
So the greatest common factor 935,512,677 is 1.
Lets's calculate LCM of 67,49,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 2370326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2370326
Therefore, the GCF of Fractions 935/67,512/49,677/722 is 1/2370326
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 67,49,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,49,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,49,722) x common factors =1 x 1 = 1
LCM(67,49,722) = ( 67 × 49 × 722 ) / 1
LCM(67,49,722) = 2370326 / 1
LCM(67,49,722) = 2370326
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 935/67, 512/49, 677/722?
Answer: GCF of Numerators as per given numbers 935/67, 512/49, 677/722 is
GCF of Numerators i.e. for 935,512,677 is 1
LCM of denominators i.e. for 67,49,722 is 2370326.
Thus, GCF of Fractions is 1/2370326.Finally, GCF of Fractions for 935/67, 512/49, 677/722 is 1/2370326.