Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8480/20,1159/202
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 8480,1159
Greatest Common Factor of Numerators i.e. GCF of 8480,1159 is 1 .
LCM of Denominators means LCM of 20,202 as per the given fractions.
LCM of 20,202 is 2020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8480,1159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8480
List of positive integer factors of 8480 that divides 8480 without a remainder.
1,2,4,5,8,10,16,20,32,40,53,80,106,160,212,265,424,530,848,1060,1696,2120,4240,8480
Factors of 1159
List of positive integer factors of 1159 that divides 1159 without a remainder.
1,19,61,1159
Greatest Common Factor
We found the factors 8480,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 8480,1159 is 1.
Lets's calculate LCM of 20,202
2 | 20, 202 |
10, 101 |
∴ So the LCM of the given numbers is 2 x 10 x 101 = 2020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2020
Therefore, the GCF of Fractions 8480/20,1159/202 is 1/2020
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 20,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,202) x common factors =2 x 1 = 2
LCM(20,202) = ( 20 × 202 ) / 2
LCM(20,202) = 4040 / 2
LCM(20,202) = 2020
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 8480/20, 1159/202?
Answer: GCF of Numerators as per given numbers 8480/20, 1159/202 is
GCF of Numerators i.e. for 8480,1159 is 1
LCM of denominators i.e. for 20,202 is 2020.
Thus, GCF of Fractions is 1/2020.Finally, GCF of Fractions for 8480/20, 1159/202 is 1/2020.