Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6658/850,7250/6040
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 6658,7250
Greatest Common Factor of Numerators i.e. GCF of 6658,7250 is 2 .
LCM of Denominators means LCM of 850,6040 as per the given fractions.
LCM of 850,6040 is 513400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6658,7250
2 | 6658, 7250 |
3329, 3625 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6658
List of positive integer factors of 6658 that divides 6658 without a remainder.
1,2,3329,6658
Factors of 7250
List of positive integer factors of 7250 that divides 7250 without a remainder.
1,2,5,10,25,29,50,58,125,145,250,290,725,1450,3625,7250
Greatest Common Factor
We found the factors 6658,7250 . The biggest common factor number is the GCF number.
So the greatest common factor 6658,7250 is 2.
Lets's calculate LCM of 850,6040
2 | 850, 6040 |
5 | 425, 3020 |
85, 604 |
∴ So the LCM of the given numbers is 2 x 5 x 85 x 604 = 513400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/513400
Therefore, the GCF of Fractions 6658/850,7250/6040 is 2/513400
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 850,6040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,6040) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(850,6040) x common factors =10 x 1 = 10
LCM(850,6040) = ( 850 × 6040 ) / 10
LCM(850,6040) = 5134000 / 10
LCM(850,6040) = 513400
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 6658/850, 7250/6040?
Answer: GCF of Numerators as per given numbers 6658/850, 7250/6040 is
GCF of Numerators i.e. for 6658,7250 is 2
LCM of denominators i.e. for 850,6040 is 513400.
Thus, GCF of Fractions is 2/513400.Finally, GCF of Fractions for 6658/850, 7250/6040 is 2/513400.