Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 283/812,606/919,227/640
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 283,606,227
Greatest Common Factor of Numerators i.e. GCF of 283,606,227 is 1 .
LCM of Denominators means LCM of 812,919,640 as per the given fractions.
LCM of 812,919,640 is 119396480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 283,606,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 283,606,227 . The biggest common factor number is the GCF number.
So the greatest common factor 283,606,227 is 1.
Lets's calculate LCM of 812,919,640
2 | 812, 919, 640 |
2 | 406, 919, 320 |
203, 919, 160 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 919 x 160 = 119396480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119396480
Therefore, the GCF of Fractions 283/812,606/919,227/640 is 1/119396480
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 812,919,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,919,640) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(812,919,640) x common factors =1 x 4 = 4
LCM(812,919,640) = ( 812 × 919 × 640 ) / 4
LCM(812,919,640) = 477585920 / 4
LCM(812,919,640) = 119396480
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 283/812, 606/919, 227/640?
Answer: GCF of Numerators as per given numbers 283/812, 606/919, 227/640 is
GCF of Numerators i.e. for 283,606,227 is 1
LCM of denominators i.e. for 812,919,640 is 119396480.
Thus, GCF of Fractions is 1/119396480.Finally, GCF of Fractions for 283/812, 606/919, 227/640 is 1/119396480.