Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 949/70,702/4814
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 949,702
Greatest Common Factor of Numerators i.e. GCF of 949,702 is 13 .
LCM of Denominators means LCM of 70,4814 as per the given fractions.
LCM of 70,4814 is 168490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 949,702
13 | 949, 702 |
73, 54 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 949,702 . The biggest common factor number is the GCF number.
So the greatest common factor 949,702 is 13.
Lets's calculate LCM of 70,4814
2 | 70, 4814 |
35, 2407 |
∴ So the LCM of the given numbers is 2 x 35 x 2407 = 168490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/168490
Therefore, the GCF of Fractions 949/70,702/4814 is 13/168490
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 70,4814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,4814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,4814) x common factors =2 x 1 = 2
LCM(70,4814) = ( 70 × 4814 ) / 2
LCM(70,4814) = 336980 / 2
LCM(70,4814) = 168490
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 949/70, 702/4814?
Answer: GCF of Numerators as per given numbers 949/70, 702/4814 is
GCF of Numerators i.e. for 949,702 is 13
LCM of denominators i.e. for 70,4814 is 168490.
Thus, GCF of Fractions is 13/168490.Finally, GCF of Fractions for 949/70, 702/4814 is 13/168490.