Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9148/627,6503/5687
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 9148,6503
Greatest Common Factor of Numerators i.e. GCF of 9148,6503 is 1 .
LCM of Denominators means LCM of 627,5687 as per the given fractions.
LCM of 627,5687 is 324159 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9148,6503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9148
List of positive integer factors of 9148 that divides 9148 without a remainder.
1,2,4,2287,4574,9148
Factors of 6503
List of positive integer factors of 6503 that divides 6503 without a remainder.
1,7,929,6503
Greatest Common Factor
We found the factors 9148,6503 . The biggest common factor number is the GCF number.
So the greatest common factor 9148,6503 is 1.
Lets's calculate LCM of 627,5687
11 | 627, 5687 |
57, 517 |
∴ So the LCM of the given numbers is 11 x 57 x 517 = 324159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/324159
Therefore, the GCF of Fractions 9148/627,6503/5687 is 1/324159
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 627,5687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,5687) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(627,5687) x common factors =11 x 1 = 11
LCM(627,5687) = ( 627 × 5687 ) / 11
LCM(627,5687) = 3565749 / 11
LCM(627,5687) = 324159
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 9148/627, 6503/5687?
Answer: GCF of Numerators as per given numbers 9148/627, 6503/5687 is
GCF of Numerators i.e. for 9148,6503 is 1
LCM of denominators i.e. for 627,5687 is 324159.
Thus, GCF of Fractions is 1/324159.Finally, GCF of Fractions for 9148/627, 6503/5687 is 1/324159.