Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7009/491,8540/946
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 7009,8540
Greatest Common Factor of Numerators i.e. GCF of 7009,8540 is 1 .
LCM of Denominators means LCM of 491,946 as per the given fractions.
LCM of 491,946 is 464486 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7009,8540
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1,43,163,7009
Factors of 8540
List of positive integer factors of 8540 that divides 8540 without a remainder.
1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Greatest Common Factor
We found the factors 7009,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 7009,8540 is 1.
Lets's calculate LCM of 491,946
Given numbers has no common factors except 1. So, there LCM is their product i.e 464486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/464486
Therefore, the GCF of Fractions 7009/491,8540/946 is 1/464486
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 491,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,946) x common factors =1 x 1 = 1
LCM(491,946) = ( 491 × 946 ) / 1
LCM(491,946) = 464486 / 1
LCM(491,946) = 464486
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 7009/491, 8540/946?
Answer: GCF of Numerators as per given numbers 7009/491, 8540/946 is
GCF of Numerators i.e. for 7009,8540 is 1
LCM of denominators i.e. for 491,946 is 464486.
Thus, GCF of Fractions is 1/464486.Finally, GCF of Fractions for 7009/491, 8540/946 is 1/464486.