Use our free GCF of Fractions Calculator tool to compute the GCF of 528/217, 352/740 i.e 176/160580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/217, 352/740.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/217,352/740
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 528/217,352/740, numerators are 528,352
Denominators are 217,740
The GCF of 528,352 is 176 .
LCM of 217,740 is 160580.
The greatest common factor of 528/217,352/740 = [GCF of 528,352]/[LCM of 217,740]= 176/160580
Therefore, the GCF of 528/217,352/740 is 176/160580.
To find the highest common factor of 528,352, we have to find the factors of both numbers and list the highest common factor.
The factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
The HCF of 528,352 is 176.
Lets's calculate GCF of 528,352
2 | 528, 352 |
2 | 264, 176 |
2 | 132, 88 |
2 | 66, 44 |
11 | 33, 22 |
3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 11 = 176
Now, list down the factors of 528
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Now, list down the factors of 352
:1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 528,352 . The biggest common factor number is the GCF number.
So the greatest common factor 528,352 is 176.
Lets's calculate LCM of 217,740
Given numbers has no common factors except 1. So, there LCM is their product i.e 160580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 176/160580
Therefore, the GCF of Fractions 528/217,352/740 is 176/160580
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 217,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,740) x common factors =1 x 1 = 1
LCM(217,740) = ( 217 × 740 ) / 1
LCM(217,740) = 160580 / 1
LCM(217,740) = 160580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 528,352?
The HCF of 528,352 is 176
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 528/217, 352/740?
Answer: GCF of Numerators as per given numbers 528/217, 352/740 is
GCF of Numerators i.e. for 528,352 is 176
LCM of denominators i.e. for 217,740 is 160580.
Thus, GCF of Fractions is 176/160580.Finally, GCF of Fractions for 528/217, 352/740 is 176/160580.