Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7991/798,6778/712
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 7991,6778
Greatest Common Factor of Numerators i.e. GCF of 7991,6778 is 1 .
LCM of Denominators means LCM of 798,712 as per the given fractions.
LCM of 798,712 is 284088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7991,6778
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7991
List of positive integer factors of 7991 that divides 7991 without a remainder.
1,61,131,7991
Factors of 6778
List of positive integer factors of 6778 that divides 6778 without a remainder.
1,2,3389,6778
Greatest Common Factor
We found the factors 7991,6778 . The biggest common factor number is the GCF number.
So the greatest common factor 7991,6778 is 1.
Lets's calculate LCM of 798,712
2 | 798, 712 |
399, 356 |
∴ So the LCM of the given numbers is 2 x 399 x 356 = 284088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284088
Therefore, the GCF of Fractions 7991/798,6778/712 is 1/284088
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 798,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(798,712) x common factors =2 x 1 = 2
LCM(798,712) = ( 798 × 712 ) / 2
LCM(798,712) = 568176 / 2
LCM(798,712) = 284088
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 7991/798, 6778/712?
Answer: GCF of Numerators as per given numbers 7991/798, 6778/712 is
GCF of Numerators i.e. for 7991,6778 is 1
LCM of denominators i.e. for 798,712 is 284088.
Thus, GCF of Fractions is 1/284088.Finally, GCF of Fractions for 7991/798, 6778/712 is 1/284088.