Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3625/682,7063/9397
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 3625,7063
Greatest Common Factor of Numerators i.e. GCF of 3625,7063 is 1 .
LCM of Denominators means LCM of 682,9397 as per the given fractions.
LCM of 682,9397 is 6408754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3625,7063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3625
List of positive integer factors of 3625 that divides 3625 without a remainder.
1,5,25,29,125,145,725,3625
Factors of 7063
List of positive integer factors of 7063 that divides 7063 without a remainder.
1,7,1009,7063
Greatest Common Factor
We found the factors 3625,7063 . The biggest common factor number is the GCF number.
So the greatest common factor 3625,7063 is 1.
Lets's calculate LCM of 682,9397
Given numbers has no common factors except 1. So, there LCM is their product i.e 6408754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6408754
Therefore, the GCF of Fractions 3625/682,7063/9397 is 1/6408754
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 682,9397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,9397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,9397) x common factors =1 x 1 = 1
LCM(682,9397) = ( 682 × 9397 ) / 1
LCM(682,9397) = 6408754 / 1
LCM(682,9397) = 6408754
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 3625/682, 7063/9397?
Answer: GCF of Numerators as per given numbers 3625/682, 7063/9397 is
GCF of Numerators i.e. for 3625,7063 is 1
LCM of denominators i.e. for 682,9397 is 6408754.
Thus, GCF of Fractions is 1/6408754.Finally, GCF of Fractions for 3625/682, 7063/9397 is 1/6408754.