Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 765/817,6308/752
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 765,6308
Greatest Common Factor of Numerators i.e. GCF of 765,6308 is 1 .
LCM of Denominators means LCM of 817,752 as per the given fractions.
LCM of 817,752 is 614384 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 765,6308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 6308
List of positive integer factors of 6308 that divides 6308 without a remainder.
1,2,4,19,38,76,83,166,332,1577,3154,6308
Greatest Common Factor
We found the factors 765,6308 . The biggest common factor number is the GCF number.
So the greatest common factor 765,6308 is 1.
Lets's calculate LCM of 817,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 614384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614384
Therefore, the GCF of Fractions 765/817,6308/752 is 1/614384
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 817,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,752) x common factors =1 x 1 = 1
LCM(817,752) = ( 817 × 752 ) / 1
LCM(817,752) = 614384 / 1
LCM(817,752) = 614384
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 765/817, 6308/752?
Answer: GCF of Numerators as per given numbers 765/817, 6308/752 is
GCF of Numerators i.e. for 765,6308 is 1
LCM of denominators i.e. for 817,752 is 614384.
Thus, GCF of Fractions is 1/614384.Finally, GCF of Fractions for 765/817, 6308/752 is 1/614384.