Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 892/905,5156/748
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 892,5156
Greatest Common Factor of Numerators i.e. GCF of 892,5156 is 4 .
LCM of Denominators means LCM of 905,748 as per the given fractions.
LCM of 905,748 is 676940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 892,5156
2 | 892, 5156 |
2 | 446, 2578 |
223, 1289 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 5156
List of positive integer factors of 5156 that divides 5156 without a remainder.
1,2,4,1289,2578,5156
Greatest Common Factor
We found the factors 892,5156 . The biggest common factor number is the GCF number.
So the greatest common factor 892,5156 is 4.
Lets's calculate LCM of 905,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 676940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/676940
Therefore, the GCF of Fractions 892/905,5156/748 is 4/676940
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 905,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,748) x common factors =1 x 1 = 1
LCM(905,748) = ( 905 × 748 ) / 1
LCM(905,748) = 676940 / 1
LCM(905,748) = 676940
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 892/905, 5156/748?
Answer: GCF of Numerators as per given numbers 892/905, 5156/748 is
GCF of Numerators i.e. for 892,5156 is 4
LCM of denominators i.e. for 905,748 is 676940.
Thus, GCF of Fractions is 4/676940.Finally, GCF of Fractions for 892/905, 5156/748 is 4/676940.