Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/434,4278/234
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 847,4278
Greatest Common Factor of Numerators i.e. GCF of 847,4278 is 1 .
LCM of Denominators means LCM of 434,234 as per the given fractions.
LCM of 434,234 is 50778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 847,4278
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 4278
List of positive integer factors of 4278 that divides 4278 without a remainder.
1,2,3,6,23,31,46,62,69,93,138,186,713,1426,2139,4278
Greatest Common Factor
We found the factors 847,4278 . The biggest common factor number is the GCF number.
So the greatest common factor 847,4278 is 1.
Lets's calculate LCM of 434,234
2 | 434, 234 |
217, 117 |
∴ So the LCM of the given numbers is 2 x 217 x 117 = 50778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50778
Therefore, the GCF of Fractions 847/434,4278/234 is 1/50778
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 434,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,234) x common factors =2 x 1 = 2
LCM(434,234) = ( 434 × 234 ) / 2
LCM(434,234) = 101556 / 2
LCM(434,234) = 50778
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 847/434, 4278/234?
Answer: GCF of Numerators as per given numbers 847/434, 4278/234 is
GCF of Numerators i.e. for 847,4278 is 1
LCM of denominators i.e. for 434,234 is 50778.
Thus, GCF of Fractions is 1/50778.Finally, GCF of Fractions for 847/434, 4278/234 is 1/50778.