Use our free GCF of Fractions Calculator tool to compute the GCF of 226/846, 562/352 i.e 2/148896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 226/846, 562/352.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 226/846,562/352
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 226/846,562/352, numerators are 226,562
Denominators are 846,352
The GCF of 226,562 is 2 .
LCM of 846,352 is 148896.
The greatest common factor of 226/846,562/352 = [GCF of 226,562]/[LCM of 846,352]= 2/148896
Therefore, the GCF of 226/846,562/352 is 2/148896.
To find the highest common factor of 226,562, 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 562 are 1, 2, 281, 562
The HCF of 226,562 is 2.
Lets's calculate GCF of 226,562
2 | 226, 562 |
113, 281 |
∴ 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 562
:1,2,281,562
Greatest Common Factor
We found the factors 226,562 . The biggest common factor number is the GCF number.
So the greatest common factor 226,562 is 2.
Lets's calculate LCM of 846,352
2 | 846, 352 |
423, 176 |
∴ So the LCM of the given numbers is 2 x 423 x 176 = 148896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148896
Therefore, the GCF of Fractions 226/846,562/352 is 2/148896
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 846,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,352) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(846,352) x common factors =2 x 1 = 2
LCM(846,352) = ( 846 × 352 ) / 2
LCM(846,352) = 297792 / 2
LCM(846,352) = 148896
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 226,562?
The HCF of 226,562 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 226/846, 562/352?
Answer: GCF of Numerators as per given numbers 226/846, 562/352 is
GCF of Numerators i.e. for 226,562 is 2
LCM of denominators i.e. for 846,352 is 148896.
Thus, GCF of Fractions is 2/148896.Finally, GCF of Fractions for 226/846, 562/352 is 2/148896.