Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4907/248,4967/7579
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 4907,4967
Greatest Common Factor of Numerators i.e. GCF of 4907,4967 is 1 .
LCM of Denominators means LCM of 248,7579 as per the given fractions.
LCM of 248,7579 is 1879592 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4907,4967
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4907
List of positive integer factors of 4907 that divides 4907 without a remainder.
1,7,701,4907
Factors of 4967
List of positive integer factors of 4967 that divides 4967 without a remainder.
1,4967
Greatest Common Factor
We found the factors 4907,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 4907,4967 is 1.
Lets's calculate LCM of 248,7579
Given numbers has no common factors except 1. So, there LCM is their product i.e 1879592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1879592
Therefore, the GCF of Fractions 4907/248,4967/7579 is 1/1879592
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 248,7579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,7579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,7579) x common factors =1 x 1 = 1
LCM(248,7579) = ( 248 × 7579 ) / 1
LCM(248,7579) = 1879592 / 1
LCM(248,7579) = 1879592
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 4907/248, 4967/7579?
Answer: GCF of Numerators as per given numbers 4907/248, 4967/7579 is
GCF of Numerators i.e. for 4907,4967 is 1
LCM of denominators i.e. for 248,7579 is 1879592.
Thus, GCF of Fractions is 1/1879592.Finally, GCF of Fractions for 4907/248, 4967/7579 is 1/1879592.