Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7467/91,4940/381
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 7467,4940
Greatest Common Factor of Numerators i.e. GCF of 7467,4940 is 19 .
LCM of Denominators means LCM of 91,381 as per the given fractions.
LCM of 91,381 is 34671 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7467,4940
19 | 7467, 4940 |
393, 260 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 7467
List of positive integer factors of 7467 that divides 7467 without a remainder.
1,3,19,57,131,393,2489,7467
Factors of 4940
List of positive integer factors of 4940 that divides 4940 without a remainder.
1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940
Greatest Common Factor
We found the factors 7467,4940 . The biggest common factor number is the GCF number.
So the greatest common factor 7467,4940 is 19.
Lets's calculate LCM of 91,381
Given numbers has no common factors except 1. So, there LCM is their product i.e 34671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/34671
Therefore, the GCF of Fractions 7467/91,4940/381 is 19/34671
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 91,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,381) x common factors =1 x 1 = 1
LCM(91,381) = ( 91 × 381 ) / 1
LCM(91,381) = 34671 / 1
LCM(91,381) = 34671
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 7467/91, 4940/381?
Answer: GCF of Numerators as per given numbers 7467/91, 4940/381 is
GCF of Numerators i.e. for 7467,4940 is 19
LCM of denominators i.e. for 91,381 is 34671.
Thus, GCF of Fractions is 19/34671.Finally, GCF of Fractions for 7467/91, 4940/381 is 19/34671.