Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/54,991/700
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 826,991
Greatest Common Factor of Numerators i.e. GCF of 826,991 is 1 .
LCM of Denominators means LCM of 54,700 as per the given fractions.
LCM of 54,700 is 18900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 826,991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Greatest Common Factor
We found the factors 826,991 . The biggest common factor number is the GCF number.
So the greatest common factor 826,991 is 1.
Lets's calculate LCM of 54,700
2 | 54, 700 |
27, 350 |
∴ So the LCM of the given numbers is 2 x 27 x 350 = 18900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18900
Therefore, the GCF of Fractions 826/54,991/700 is 1/18900
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 54,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,700) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,700) x common factors =2 x 1 = 2
LCM(54,700) = ( 54 × 700 ) / 2
LCM(54,700) = 37800 / 2
LCM(54,700) = 18900
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 826/54, 991/700?
Answer: GCF of Numerators as per given numbers 826/54, 991/700 is
GCF of Numerators i.e. for 826,991 is 1
LCM of denominators i.e. for 54,700 is 18900.
Thus, GCF of Fractions is 1/18900.Finally, GCF of Fractions for 826/54, 991/700 is 1/18900.