Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1949/77,2878/988
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 1949,2878
Greatest Common Factor of Numerators i.e. GCF of 1949,2878 is 1 .
LCM of Denominators means LCM of 77,988 as per the given fractions.
LCM of 77,988 is 76076 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1949,2878
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1949
List of positive integer factors of 1949 that divides 1949 without a remainder.
1,1949
Factors of 2878
List of positive integer factors of 2878 that divides 2878 without a remainder.
1,2,1439,2878
Greatest Common Factor
We found the factors 1949,2878 . The biggest common factor number is the GCF number.
So the greatest common factor 1949,2878 is 1.
Lets's calculate LCM of 77,988
Given numbers has no common factors except 1. So, there LCM is their product i.e 76076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76076
Therefore, the GCF of Fractions 1949/77,2878/988 is 1/76076
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 77,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,988) x common factors =1 x 1 = 1
LCM(77,988) = ( 77 × 988 ) / 1
LCM(77,988) = 76076 / 1
LCM(77,988) = 76076
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 1949/77, 2878/988?
Answer: GCF of Numerators as per given numbers 1949/77, 2878/988 is
GCF of Numerators i.e. for 1949,2878 is 1
LCM of denominators i.e. for 77,988 is 76076.
Thus, GCF of Fractions is 1/76076.Finally, GCF of Fractions for 1949/77, 2878/988 is 1/76076.