Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/780,7129/8068
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 43,7129
Greatest Common Factor of Numerators i.e. GCF of 43,7129 is 1 .
LCM of Denominators means LCM of 780,8068 as per the given fractions.
LCM of 780,8068 is 1573260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,7129
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 7129
List of positive integer factors of 7129 that divides 7129 without a remainder.
1,7129
Greatest Common Factor
We found the factors 43,7129 . The biggest common factor number is the GCF number.
So the greatest common factor 43,7129 is 1.
Lets's calculate LCM of 780,8068
2 | 780, 8068 |
2 | 390, 4034 |
195, 2017 |
∴ So the LCM of the given numbers is 2 x 2 x 195 x 2017 = 1573260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1573260
Therefore, the GCF of Fractions 43/780,7129/8068 is 1/1573260
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 780,8068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,8068) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(780,8068) x common factors =4 x 1 = 4
LCM(780,8068) = ( 780 × 8068 ) / 4
LCM(780,8068) = 6293040 / 4
LCM(780,8068) = 1573260
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 43/780, 7129/8068?
Answer: GCF of Numerators as per given numbers 43/780, 7129/8068 is
GCF of Numerators i.e. for 43,7129 is 1
LCM of denominators i.e. for 780,8068 is 1573260.
Thus, GCF of Fractions is 1/1573260.Finally, GCF of Fractions for 43/780, 7129/8068 is 1/1573260.