Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3169/635,9667/740
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 3169,9667
Greatest Common Factor of Numerators i.e. GCF of 3169,9667 is 1 .
LCM of Denominators means LCM of 635,740 as per the given fractions.
LCM of 635,740 is 93980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3169,9667
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3169
List of positive integer factors of 3169 that divides 3169 without a remainder.
1,3169
Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1,7,1381,9667
Greatest Common Factor
We found the factors 3169,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 3169,9667 is 1.
Lets's calculate LCM of 635,740
5 | 635, 740 |
127, 148 |
∴ So the LCM of the given numbers is 5 x 127 x 148 = 93980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93980
Therefore, the GCF of Fractions 3169/635,9667/740 is 1/93980
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 635,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,740) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(635,740) x common factors =5 x 1 = 5
LCM(635,740) = ( 635 × 740 ) / 5
LCM(635,740) = 469900 / 5
LCM(635,740) = 93980
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 3169/635, 9667/740?
Answer: GCF of Numerators as per given numbers 3169/635, 9667/740 is
GCF of Numerators i.e. for 3169,9667 is 1
LCM of denominators i.e. for 635,740 is 93980.
Thus, GCF of Fractions is 1/93980.Finally, GCF of Fractions for 3169/635, 9667/740 is 1/93980.