Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7751/85,7200/934
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 7751,7200
Greatest Common Factor of Numerators i.e. GCF of 7751,7200 is 1 .
LCM of Denominators means LCM of 85,934 as per the given fractions.
LCM of 85,934 is 79390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7751,7200
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7751
List of positive integer factors of 7751 that divides 7751 without a remainder.
1,23,337,7751
Factors of 7200
List of positive integer factors of 7200 that divides 7200 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200
Greatest Common Factor
We found the factors 7751,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 7751,7200 is 1.
Lets's calculate LCM of 85,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 79390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79390
Therefore, the GCF of Fractions 7751/85,7200/934 is 1/79390
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 85,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,934) x common factors =1 x 1 = 1
LCM(85,934) = ( 85 × 934 ) / 1
LCM(85,934) = 79390 / 1
LCM(85,934) = 79390
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 7751/85, 7200/934?
Answer: GCF of Numerators as per given numbers 7751/85, 7200/934 is
GCF of Numerators i.e. for 7751,7200 is 1
LCM of denominators i.e. for 85,934 is 79390.
Thus, GCF of Fractions is 1/79390.Finally, GCF of Fractions for 7751/85, 7200/934 is 1/79390.