GCF of 528/711, 891/295
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 528/711, 891/295 i.e 33/209745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/711, 891/295.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 528/711,891/295?
Given fractions are 528/711,891/295
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 528/711,891/295, numerators are 528,891
Denominators are 711,295
The GCF of 528,891 is 33 .
LCM of 711,295 is 209745.
The greatest common factor of 528/711,891/295 = [GCF of 528,891]/[LCM of 711,295]= 33/209745
Therefore, the GCF of 528/711,891/295 is 33/209745.
To find the highest common factor of 528,891, 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 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The HCF of 528,891 is 33.
Lets's calculate GCF of 528,891
| 3 | 528, 891 |
| 11 | 176, 297 |
| 16, 27 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 528,891 By Matching Biggest Common Factor Method
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 891
:1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 528,891 . The biggest common factor number is the GCF number.
So the greatest common factor 528,891 is 33.
Lets's calculate LCM of 711,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 209745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/209745
Therefore, the GCF of Fractions 528/711,891/295 is 33/209745
Least Common Multiple of 711,295 with GCF Formula
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 711,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,295) x common factors =1 x 1 = 1
LCM(711,295) = ( 711 × 295 ) / 1
LCM(711,295) = 209745 / 1
LCM(711,295) = 209745
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FAQs on GCF of Fractions of 528/711, 891/295
1. What is the HCF of 528,891?
The HCF of 528,891 is 33
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 528/711, 891/295?
Answer: GCF of Numerators as per given numbers 528/711, 891/295 is
GCF of Numerators i.e. for 528,891 is 33
LCM of denominators i.e. for 711,295 is 209745.
Thus, GCF of Fractions is 33/209745.Finally, GCF of Fractions for 528/711, 891/295 is 33/209745.