Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9125/37,7410/467
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 9125,7410
Greatest Common Factor of Numerators i.e. GCF of 9125,7410 is 5 .
LCM of Denominators means LCM of 37,467 as per the given fractions.
LCM of 37,467 is 17279 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9125,7410
5 | 9125, 7410 |
1825, 1482 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9125
List of positive integer factors of 9125 that divides 9125 without a remainder.
1,5,25,73,125,365,1825,9125
Factors of 7410
List of positive integer factors of 7410 that divides 7410 without a remainder.
1,2,3,5,6,10,13,15,19,26,30,38,39,57,65,78,95,114,130,190,195,247,285,390,494,570,741,1235,1482,2470,3705,7410
Greatest Common Factor
We found the factors 9125,7410 . The biggest common factor number is the GCF number.
So the greatest common factor 9125,7410 is 5.
Lets's calculate LCM of 37,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 17279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17279
Therefore, the GCF of Fractions 9125/37,7410/467 is 5/17279
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 37,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,467) x common factors =1 x 1 = 1
LCM(37,467) = ( 37 × 467 ) / 1
LCM(37,467) = 17279 / 1
LCM(37,467) = 17279
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 9125/37, 7410/467?
Answer: GCF of Numerators as per given numbers 9125/37, 7410/467 is
GCF of Numerators i.e. for 9125,7410 is 5
LCM of denominators i.e. for 37,467 is 17279.
Thus, GCF of Fractions is 5/17279.Finally, GCF of Fractions for 9125/37, 7410/467 is 5/17279.