Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/817,4775/865
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 751,4775
Greatest Common Factor of Numerators i.e. GCF of 751,4775 is 1 .
LCM of Denominators means LCM of 817,865 as per the given fractions.
LCM of 817,865 is 706705 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 751,4775
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 4775
List of positive integer factors of 4775 that divides 4775 without a remainder.
1,5,25,191,955,4775
Greatest Common Factor
We found the factors 751,4775 . The biggest common factor number is the GCF number.
So the greatest common factor 751,4775 is 1.
Lets's calculate LCM of 817,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 706705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706705
Therefore, the GCF of Fractions 751/817,4775/865 is 1/706705
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 817,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,865) x common factors =1 x 1 = 1
LCM(817,865) = ( 817 × 865 ) / 1
LCM(817,865) = 706705 / 1
LCM(817,865) = 706705
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 751/817, 4775/865?
Answer: GCF of Numerators as per given numbers 751/817, 4775/865 is
GCF of Numerators i.e. for 751,4775 is 1
LCM of denominators i.e. for 817,865 is 706705.
Thus, GCF of Fractions is 1/706705.Finally, GCF of Fractions for 751/817, 4775/865 is 1/706705.