Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 762/843,4337/746
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 762,4337
Greatest Common Factor of Numerators i.e. GCF of 762,4337 is 1 .
LCM of Denominators means LCM of 843,746 as per the given fractions.
LCM of 843,746 is 628878 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 762,4337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 4337
List of positive integer factors of 4337 that divides 4337 without a remainder.
1,4337
Greatest Common Factor
We found the factors 762,4337 . The biggest common factor number is the GCF number.
So the greatest common factor 762,4337 is 1.
Lets's calculate LCM of 843,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 628878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/628878
Therefore, the GCF of Fractions 762/843,4337/746 is 1/628878
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 843,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,746) x common factors =1 x 1 = 1
LCM(843,746) = ( 843 × 746 ) / 1
LCM(843,746) = 628878 / 1
LCM(843,746) = 628878
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 762/843, 4337/746?
Answer: GCF of Numerators as per given numbers 762/843, 4337/746 is
GCF of Numerators i.e. for 762,4337 is 1
LCM of denominators i.e. for 843,746 is 628878.
Thus, GCF of Fractions is 1/628878.Finally, GCF of Fractions for 762/843, 4337/746 is 1/628878.