Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3841/597,7114/2579
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 3841,7114
Greatest Common Factor of Numerators i.e. GCF of 3841,7114 is 1 .
LCM of Denominators means LCM of 597,2579 as per the given fractions.
LCM of 597,2579 is 1539663 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3841,7114
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3841
List of positive integer factors of 3841 that divides 3841 without a remainder.
1,23,167,3841
Factors of 7114
List of positive integer factors of 7114 that divides 7114 without a remainder.
1,2,3557,7114
Greatest Common Factor
We found the factors 3841,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 3841,7114 is 1.
Lets's calculate LCM of 597,2579
Given numbers has no common factors except 1. So, there LCM is their product i.e 1539663
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1539663
Therefore, the GCF of Fractions 3841/597,7114/2579 is 1/1539663
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 597,2579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,2579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,2579) x common factors =1 x 1 = 1
LCM(597,2579) = ( 597 × 2579 ) / 1
LCM(597,2579) = 1539663 / 1
LCM(597,2579) = 1539663
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 3841/597, 7114/2579?
Answer: GCF of Numerators as per given numbers 3841/597, 7114/2579 is
GCF of Numerators i.e. for 3841,7114 is 1
LCM of denominators i.e. for 597,2579 is 1539663.
Thus, GCF of Fractions is 1/1539663.Finally, GCF of Fractions for 3841/597, 7114/2579 is 1/1539663.