Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 679/47,935/29,976/934
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 679,935,976
Greatest Common Factor of Numerators i.e. GCF of 679,935,976 is 1 .
LCM of Denominators means LCM of 47,29,934 as per the given fractions.
LCM of 47,29,934 is 1273042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 679,935,976
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 679
List of positive integer factors of 679 that divides 679 without a remainder.
1,7,97,679
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 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 679,935,976 . The biggest common factor number is the GCF number.
So the greatest common factor 679,935,976 is 1.
Lets's calculate LCM of 47,29,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 1273042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1273042
Therefore, the GCF of Fractions 679/47,935/29,976/934 is 1/1273042
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 47,29,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,29,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,29,934) x common factors =1 x 1 = 1
LCM(47,29,934) = ( 47 × 29 × 934 ) / 1
LCM(47,29,934) = 1273042 / 1
LCM(47,29,934) = 1273042
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 679/47, 935/29, 976/934?
Answer: GCF of Numerators as per given numbers 679/47, 935/29, 976/934 is
GCF of Numerators i.e. for 679,935,976 is 1
LCM of denominators i.e. for 47,29,934 is 1273042.
Thus, GCF of Fractions is 1/1273042.Finally, GCF of Fractions for 679/47, 935/29, 976/934 is 1/1273042.