Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9431/698,2562/4402
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 9431,2562
Greatest Common Factor of Numerators i.e. GCF of 9431,2562 is 1 .
LCM of Denominators means LCM of 698,4402 as per the given fractions.
LCM of 698,4402 is 1536298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9431,2562
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9431
List of positive integer factors of 9431 that divides 9431 without a remainder.
1,9431
Factors of 2562
List of positive integer factors of 2562 that divides 2562 without a remainder.
1,2,3,6,7,14,21,42,61,122,183,366,427,854,1281,2562
Greatest Common Factor
We found the factors 9431,2562 . The biggest common factor number is the GCF number.
So the greatest common factor 9431,2562 is 1.
Lets's calculate LCM of 698,4402
2 | 698, 4402 |
349, 2201 |
∴ So the LCM of the given numbers is 2 x 349 x 2201 = 1536298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1536298
Therefore, the GCF of Fractions 9431/698,2562/4402 is 1/1536298
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 698,4402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,4402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,4402) x common factors =2 x 1 = 2
LCM(698,4402) = ( 698 × 4402 ) / 2
LCM(698,4402) = 3072596 / 2
LCM(698,4402) = 1536298
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 9431/698, 2562/4402?
Answer: GCF of Numerators as per given numbers 9431/698, 2562/4402 is
GCF of Numerators i.e. for 9431,2562 is 1
LCM of denominators i.e. for 698,4402 is 1536298.
Thus, GCF of Fractions is 1/1536298.Finally, GCF of Fractions for 9431/698, 2562/4402 is 1/1536298.