Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7134/59,8674/354
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 7134,8674
Greatest Common Factor of Numerators i.e. GCF of 7134,8674 is 2 .
LCM of Denominators means LCM of 59,354 as per the given fractions.
LCM of 59,354 is 354 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7134,8674
2 | 7134, 8674 |
3567, 4337 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7134
List of positive integer factors of 7134 that divides 7134 without a remainder.
1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Factors of 8674
List of positive integer factors of 8674 that divides 8674 without a remainder.
1,2,4337,8674
Greatest Common Factor
We found the factors 7134,8674 . The biggest common factor number is the GCF number.
So the greatest common factor 7134,8674 is 2.
Lets's calculate LCM of 59,354
59 | 59, 354 |
1, 6 |
∴ So the LCM of the given numbers is 59 x 1 x 6 = 354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/354
Therefore, the GCF of Fractions 7134/59,8674/354 is 2/354
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 59,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,354) = 59
common factors(in case of two or more numbers have common factors) = 1
GCF(59,354) x common factors =59 x 1 = 59
LCM(59,354) = ( 59 × 354 ) / 59
LCM(59,354) = 20886 / 59
LCM(59,354) = 354
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 7134/59, 8674/354?
Answer: GCF of Numerators as per given numbers 7134/59, 8674/354 is
GCF of Numerators i.e. for 7134,8674 is 2
LCM of denominators i.e. for 59,354 is 354.
Thus, GCF of Fractions is 2/354.Finally, GCF of Fractions for 7134/59, 8674/354 is 2/354.