Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 140/206,228/801
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 140,228
Greatest Common Factor of Numerators i.e. GCF of 140,228 is 4 .
LCM of Denominators means LCM of 206,801 as per the given fractions.
LCM of 206,801 is 165006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 140,228
2 | 140, 228 |
2 | 70, 114 |
35, 57 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 140,228 . The biggest common factor number is the GCF number.
So the greatest common factor 140,228 is 4.
Lets's calculate LCM of 206,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 165006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/165006
Therefore, the GCF of Fractions 140/206,228/801 is 4/165006
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 206,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,801) x common factors =1 x 1 = 1
LCM(206,801) = ( 206 × 801 ) / 1
LCM(206,801) = 165006 / 1
LCM(206,801) = 165006
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 140/206, 228/801?
Answer: GCF of Numerators as per given numbers 140/206, 228/801 is
GCF of Numerators i.e. for 140,228 is 4
LCM of denominators i.e. for 206,801 is 165006.
Thus, GCF of Fractions is 4/165006.Finally, GCF of Fractions for 140/206, 228/801 is 4/165006.