Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4120/844,7869/731
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 4120,7869
Greatest Common Factor of Numerators i.e. GCF of 4120,7869 is 1 .
LCM of Denominators means LCM of 844,731 as per the given fractions.
LCM of 844,731 is 616964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4120,7869
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4120
List of positive integer factors of 4120 that divides 4120 without a remainder.
1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Factors of 7869
List of positive integer factors of 7869 that divides 7869 without a remainder.
1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 4120,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,7869 is 1.
Lets's calculate LCM of 844,731
Given numbers has no common factors except 1. So, there LCM is their product i.e 616964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616964
Therefore, the GCF of Fractions 4120/844,7869/731 is 1/616964
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 844,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(844,731) x common factors =1 x 1 = 1
LCM(844,731) = ( 844 × 731 ) / 1
LCM(844,731) = 616964 / 1
LCM(844,731) = 616964
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 4120/844, 7869/731?
Answer: GCF of Numerators as per given numbers 4120/844, 7869/731 is
GCF of Numerators i.e. for 4120,7869 is 1
LCM of denominators i.e. for 844,731 is 616964.
Thus, GCF of Fractions is 1/616964.Finally, GCF of Fractions for 4120/844, 7869/731 is 1/616964.