Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3044/75,8760/667
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 3044,8760
Greatest Common Factor of Numerators i.e. GCF of 3044,8760 is 4 .
LCM of Denominators means LCM of 75,667 as per the given fractions.
LCM of 75,667 is 50025 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3044,8760
2 | 3044, 8760 |
2 | 1522, 4380 |
761, 2190 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3044
List of positive integer factors of 3044 that divides 3044 without a remainder.
1,2,4,761,1522,3044
Factors of 8760
List of positive integer factors of 8760 that divides 8760 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Greatest Common Factor
We found the factors 3044,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 3044,8760 is 4.
Lets's calculate LCM of 75,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 50025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50025
Therefore, the GCF of Fractions 3044/75,8760/667 is 4/50025
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 75,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,667) x common factors =1 x 1 = 1
LCM(75,667) = ( 75 × 667 ) / 1
LCM(75,667) = 50025 / 1
LCM(75,667) = 50025
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 3044/75, 8760/667?
Answer: GCF of Numerators as per given numbers 3044/75, 8760/667 is
GCF of Numerators i.e. for 3044,8760 is 4
LCM of denominators i.e. for 75,667 is 50025.
Thus, GCF of Fractions is 4/50025.Finally, GCF of Fractions for 3044/75, 8760/667 is 4/50025.