Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 757/130,8375/3611
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 757,8375
Greatest Common Factor of Numerators i.e. GCF of 757,8375 is 1 .
LCM of Denominators means LCM of 130,3611 as per the given fractions.
LCM of 130,3611 is 469430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 757,8375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 8375
List of positive integer factors of 8375 that divides 8375 without a remainder.
1,5,25,67,125,335,1675,8375
Greatest Common Factor
We found the factors 757,8375 . The biggest common factor number is the GCF number.
So the greatest common factor 757,8375 is 1.
Lets's calculate LCM of 130,3611
Given numbers has no common factors except 1. So, there LCM is their product i.e 469430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469430
Therefore, the GCF of Fractions 757/130,8375/3611 is 1/469430
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 130,3611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,3611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,3611) x common factors =1 x 1 = 1
LCM(130,3611) = ( 130 × 3611 ) / 1
LCM(130,3611) = 469430 / 1
LCM(130,3611) = 469430
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 757/130, 8375/3611?
Answer: GCF of Numerators as per given numbers 757/130, 8375/3611 is
GCF of Numerators i.e. for 757,8375 is 1
LCM of denominators i.e. for 130,3611 is 469430.
Thus, GCF of Fractions is 1/469430.Finally, GCF of Fractions for 757/130, 8375/3611 is 1/469430.