Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2753/902,4322/8018
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 2753,4322
Greatest Common Factor of Numerators i.e. GCF of 2753,4322 is 1 .
LCM of Denominators means LCM of 902,8018 as per the given fractions.
LCM of 902,8018 is 3616118 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2753,4322
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2753
List of positive integer factors of 2753 that divides 2753 without a remainder.
1,2753
Factors of 4322
List of positive integer factors of 4322 that divides 4322 without a remainder.
1,2,2161,4322
Greatest Common Factor
We found the factors 2753,4322 . The biggest common factor number is the GCF number.
So the greatest common factor 2753,4322 is 1.
Lets's calculate LCM of 902,8018
2 | 902, 8018 |
451, 4009 |
∴ So the LCM of the given numbers is 2 x 451 x 4009 = 3616118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3616118
Therefore, the GCF of Fractions 2753/902,4322/8018 is 1/3616118
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 902,8018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,8018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,8018) x common factors =2 x 1 = 2
LCM(902,8018) = ( 902 × 8018 ) / 2
LCM(902,8018) = 7232236 / 2
LCM(902,8018) = 3616118
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 2753/902, 4322/8018?
Answer: GCF of Numerators as per given numbers 2753/902, 4322/8018 is
GCF of Numerators i.e. for 2753,4322 is 1
LCM of denominators i.e. for 902,8018 is 3616118.
Thus, GCF of Fractions is 1/3616118.Finally, GCF of Fractions for 2753/902, 4322/8018 is 1/3616118.