Use our free GCF of Fractions Calculator tool to compute the GCF of 556/564, 9212/7457 i.e 4/4205748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/564, 9212/7457.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 556/564,9212/7457
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 556/564,9212/7457, numerators are 556,9212
Denominators are 564,7457
The GCF of 556,9212 is 4 .
LCM of 564,7457 is 4205748.
The greatest common factor of 556/564,9212/7457 = [GCF of 556,9212]/[LCM of 564,7457]= 4/4205748
Therefore, the GCF of 556/564,9212/7457 is 4/4205748.
To find the highest common factor of 556,9212, we have to find the factors of both numbers and list the highest common factor.
The factors of 556 are 1, 2, 4, 139, 278, 556
The factors of 9212 are 1, 2, 4, 7, 14, 28, 47, 49, 94, 98, 188, 196, 329, 658, 1316, 2303, 4606, 9212
The HCF of 556,9212 is 4.
Lets's calculate GCF of 556,9212
2 | 556, 9212 |
2 | 278, 4606 |
139, 2303 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 556
:1,2,4,139,278,556
Now, list down the factors of 9212
:1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212
Greatest Common Factor
We found the factors 556,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 556,9212 is 4.
Lets's calculate LCM of 564,7457
Given numbers has no common factors except 1. So, there LCM is their product i.e 4205748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4205748
Therefore, the GCF of Fractions 556/564,9212/7457 is 4/4205748
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 564,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,7457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,7457) x common factors =1 x 1 = 1
LCM(564,7457) = ( 564 × 7457 ) / 1
LCM(564,7457) = 4205748 / 1
LCM(564,7457) = 4205748
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 556,9212?
The HCF of 556,9212 is 4
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 556/564, 9212/7457?
Answer: GCF of Numerators as per given numbers 556/564, 9212/7457 is
GCF of Numerators i.e. for 556,9212 is 4
LCM of denominators i.e. for 564,7457 is 4205748.
Thus, GCF of Fractions is 4/4205748.Finally, GCF of Fractions for 556/564, 9212/7457 is 4/4205748.