Use our free GCF of Fractions Calculator tool to compute the GCF of 226/848, 672/706 i.e 2/299344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/848, 672/706.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 226/848,672/706
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 226/848,672/706, numerators are 226,672
Denominators are 848,706
The GCF of 226,672 is 2 .
LCM of 848,706 is 299344.
The greatest common factor of 226/848,672/706 = [GCF of 226,672]/[LCM of 848,706]= 2/299344
Therefore, the GCF of 226/848,672/706 is 2/299344.
To find the highest common factor of 226,672, we have to find the factors of both numbers and list the highest common factor.
The factors of 226 are 1, 2, 113, 226
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The HCF of 226,672 is 2.
Lets's calculate GCF of 226,672
2 | 226, 672 |
113, 336 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 226
:1,2,113,226
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Greatest Common Factor
We found the factors 226,672 . The biggest common factor number is the GCF number.
So the greatest common factor 226,672 is 2.
Lets's calculate LCM of 848,706
2 | 848, 706 |
424, 353 |
∴ So the LCM of the given numbers is 2 x 424 x 353 = 299344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/299344
Therefore, the GCF of Fractions 226/848,672/706 is 2/299344
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 848,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(848,706) x common factors =2 x 1 = 2
LCM(848,706) = ( 848 × 706 ) / 2
LCM(848,706) = 598688 / 2
LCM(848,706) = 299344
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 226,672?
The HCF of 226,672 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 226/848, 672/706?
Answer: GCF of Numerators as per given numbers 226/848, 672/706 is
GCF of Numerators i.e. for 226,672 is 2
LCM of denominators i.e. for 848,706 is 299344.
Thus, GCF of Fractions is 2/299344.Finally, GCF of Fractions for 226/848, 672/706 is 2/299344.