Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 849/53,641/92,902/424
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 849,641,902
Greatest Common Factor of Numerators i.e. GCF of 849,641,902 is 1 .
LCM of Denominators means LCM of 53,92,424 as per the given fractions.
LCM of 53,92,424 is 9752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 849,641,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 849,641,902 . The biggest common factor number is the GCF number.
So the greatest common factor 849,641,902 is 1.
Lets's calculate LCM of 53,92,424
2 | 53, 92, 424 |
2 | 53, 46, 212 |
53 | 53, 23, 106 |
1, 23, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 53 x 1 x 23 x 2 = 9752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9752
Therefore, the GCF of Fractions 849/53,641/92,902/424 is 1/9752
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 53,92,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,92,424) = 1
common factors(in case of two or more numbers have common factors) = 212
GCF(53,92,424) x common factors =1 x 212 = 212
LCM(53,92,424) = ( 53 × 92 × 424 ) / 212
LCM(53,92,424) = 2067424 / 212
LCM(53,92,424) = 9752
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 849/53, 641/92, 902/424?
Answer: GCF of Numerators as per given numbers 849/53, 641/92, 902/424 is
GCF of Numerators i.e. for 849,641,902 is 1
LCM of denominators i.e. for 53,92,424 is 9752.
Thus, GCF of Fractions is 1/9752.Finally, GCF of Fractions for 849/53, 641/92, 902/424 is 1/9752.