Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3444/875,7738/1019
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 3444,7738
Greatest Common Factor of Numerators i.e. GCF of 3444,7738 is 2 .
LCM of Denominators means LCM of 875,1019 as per the given fractions.
LCM of 875,1019 is 891625 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3444,7738
2 | 3444, 7738 |
1722, 3869 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3444
List of positive integer factors of 3444 that divides 3444 without a remainder.
1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Factors of 7738
List of positive integer factors of 7738 that divides 7738 without a remainder.
1,2,53,73,106,146,3869,7738
Greatest Common Factor
We found the factors 3444,7738 . The biggest common factor number is the GCF number.
So the greatest common factor 3444,7738 is 2.
Lets's calculate LCM of 875,1019
Given numbers has no common factors except 1. So, there LCM is their product i.e 891625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/891625
Therefore, the GCF of Fractions 3444/875,7738/1019 is 2/891625
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 875,1019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,1019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,1019) x common factors =1 x 1 = 1
LCM(875,1019) = ( 875 × 1019 ) / 1
LCM(875,1019) = 891625 / 1
LCM(875,1019) = 891625
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 3444/875, 7738/1019?
Answer: GCF of Numerators as per given numbers 3444/875, 7738/1019 is
GCF of Numerators i.e. for 3444,7738 is 2
LCM of denominators i.e. for 875,1019 is 891625.
Thus, GCF of Fractions is 2/891625.Finally, GCF of Fractions for 3444/875, 7738/1019 is 2/891625.