Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 755/89,117/6448
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 755,117
Greatest Common Factor of Numerators i.e. GCF of 755,117 is 1 .
LCM of Denominators means LCM of 89,6448 as per the given fractions.
LCM of 89,6448 is 573872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 755,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Greatest Common Factor
We found the factors 755,117 . The biggest common factor number is the GCF number.
So the greatest common factor 755,117 is 1.
Lets's calculate LCM of 89,6448
Given numbers has no common factors except 1. So, there LCM is their product i.e 573872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/573872
Therefore, the GCF of Fractions 755/89,117/6448 is 1/573872
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 89,6448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,6448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,6448) x common factors =1 x 1 = 1
LCM(89,6448) = ( 89 × 6448 ) / 1
LCM(89,6448) = 573872 / 1
LCM(89,6448) = 573872
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 755/89, 117/6448?
Answer: GCF of Numerators as per given numbers 755/89, 117/6448 is
GCF of Numerators i.e. for 755,117 is 1
LCM of denominators i.e. for 89,6448 is 573872.
Thus, GCF of Fractions is 1/573872.Finally, GCF of Fractions for 755/89, 117/6448 is 1/573872.