Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 757/925,7511/712
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 757,7511
Greatest Common Factor of Numerators i.e. GCF of 757,7511 is 1 .
LCM of Denominators means LCM of 925,712 as per the given fractions.
LCM of 925,712 is 658600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 757,7511
∴ 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 7511
List of positive integer factors of 7511 that divides 7511 without a remainder.
1,7,29,37,203,259,1073,7511
Greatest Common Factor
We found the factors 757,7511 . The biggest common factor number is the GCF number.
So the greatest common factor 757,7511 is 1.
Lets's calculate LCM of 925,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 658600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658600
Therefore, the GCF of Fractions 757/925,7511/712 is 1/658600
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 925,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,712) x common factors =1 x 1 = 1
LCM(925,712) = ( 925 × 712 ) / 1
LCM(925,712) = 658600 / 1
LCM(925,712) = 658600
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 757/925, 7511/712?
Answer: GCF of Numerators as per given numbers 757/925, 7511/712 is
GCF of Numerators i.e. for 757,7511 is 1
LCM of denominators i.e. for 925,712 is 658600.
Thus, GCF of Fractions is 1/658600.Finally, GCF of Fractions for 757/925, 7511/712 is 1/658600.