Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7351/236,7467/350
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 7351,7467
Greatest Common Factor of Numerators i.e. GCF of 7351,7467 is 1 .
LCM of Denominators means LCM of 236,350 as per the given fractions.
LCM of 236,350 is 41300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7351,7467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7351
List of positive integer factors of 7351 that divides 7351 without a remainder.
1,7351
Factors of 7467
List of positive integer factors of 7467 that divides 7467 without a remainder.
1,3,19,57,131,393,2489,7467
Greatest Common Factor
We found the factors 7351,7467 . The biggest common factor number is the GCF number.
So the greatest common factor 7351,7467 is 1.
Lets's calculate LCM of 236,350
2 | 236, 350 |
118, 175 |
∴ So the LCM of the given numbers is 2 x 118 x 175 = 41300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41300
Therefore, the GCF of Fractions 7351/236,7467/350 is 1/41300
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 236,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(236,350) x common factors =2 x 1 = 2
LCM(236,350) = ( 236 × 350 ) / 2
LCM(236,350) = 82600 / 2
LCM(236,350) = 41300
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 7351/236, 7467/350?
Answer: GCF of Numerators as per given numbers 7351/236, 7467/350 is
GCF of Numerators i.e. for 7351,7467 is 1
LCM of denominators i.e. for 236,350 is 41300.
Thus, GCF of Fractions is 1/41300.Finally, GCF of Fractions for 7351/236, 7467/350 is 1/41300.