Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2629/44,9470/670
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 2629,9470
Greatest Common Factor of Numerators i.e. GCF of 2629,9470 is 1 .
LCM of Denominators means LCM of 44,670 as per the given fractions.
LCM of 44,670 is 14740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2629,9470
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2629
List of positive integer factors of 2629 that divides 2629 without a remainder.
1,11,239,2629
Factors of 9470
List of positive integer factors of 9470 that divides 9470 without a remainder.
1,2,5,10,947,1894,4735,9470
Greatest Common Factor
We found the factors 2629,9470 . The biggest common factor number is the GCF number.
So the greatest common factor 2629,9470 is 1.
Lets's calculate LCM of 44,670
2 | 44, 670 |
22, 335 |
∴ So the LCM of the given numbers is 2 x 22 x 335 = 14740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14740
Therefore, the GCF of Fractions 2629/44,9470/670 is 1/14740
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 44,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(44,670) x common factors =2 x 1 = 2
LCM(44,670) = ( 44 × 670 ) / 2
LCM(44,670) = 29480 / 2
LCM(44,670) = 14740
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 2629/44, 9470/670?
Answer: GCF of Numerators as per given numbers 2629/44, 9470/670 is
GCF of Numerators i.e. for 2629,9470 is 1
LCM of denominators i.e. for 44,670 is 14740.
Thus, GCF of Fractions is 1/14740.Finally, GCF of Fractions for 2629/44, 9470/670 is 1/14740.