Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1025/777,1931/914
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 1025,1931
Greatest Common Factor of Numerators i.e. GCF of 1025,1931 is 1 .
LCM of Denominators means LCM of 777,914 as per the given fractions.
LCM of 777,914 is 710178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1025,1931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1025
List of positive integer factors of 1025 that divides 1025 without a remainder.
1,5,25,41,205,1025
Factors of 1931
List of positive integer factors of 1931 that divides 1931 without a remainder.
1,1931
Greatest Common Factor
We found the factors 1025,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 1025,1931 is 1.
Lets's calculate LCM of 777,914
Given numbers has no common factors except 1. So, there LCM is their product i.e 710178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/710178
Therefore, the GCF of Fractions 1025/777,1931/914 is 1/710178
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 777,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,914) x common factors =1 x 1 = 1
LCM(777,914) = ( 777 × 914 ) / 1
LCM(777,914) = 710178 / 1
LCM(777,914) = 710178
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 1025/777, 1931/914?
Answer: GCF of Numerators as per given numbers 1025/777, 1931/914 is
GCF of Numerators i.e. for 1025,1931 is 1
LCM of denominators i.e. for 777,914 is 710178.
Thus, GCF of Fractions is 1/710178.Finally, GCF of Fractions for 1025/777, 1931/914 is 1/710178.