Use our free GCF of Fractions Calculator tool to compute the GCF of 528/883, 341/833 i.e 11/735539 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/883, 341/833.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/883,341/833
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 528/883,341/833, numerators are 528,341
Denominators are 883,833
The GCF of 528,341 is 11 .
LCM of 883,833 is 735539.
The greatest common factor of 528/883,341/833 = [GCF of 528,341]/[LCM of 883,833]= 11/735539
Therefore, the GCF of 528/883,341/833 is 11/735539.
To find the highest common factor of 528,341, 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 341 are 1, 11, 31, 341
The HCF of 528,341 is 11.
Lets's calculate GCF of 528,341
11 | 528, 341 |
48, 31 |
∴ So the GCF of the given numbers is 11 = 11
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 341
:1,11,31,341
Greatest Common Factor
We found the factors 528,341 . The biggest common factor number is the GCF number.
So the greatest common factor 528,341 is 11.
Lets's calculate LCM of 883,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 735539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/735539
Therefore, the GCF of Fractions 528/883,341/833 is 11/735539
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 883,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,833) x common factors =1 x 1 = 1
LCM(883,833) = ( 883 × 833 ) / 1
LCM(883,833) = 735539 / 1
LCM(883,833) = 735539
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 528,341?
The HCF of 528,341 is 11
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 528/883, 341/833?
Answer: GCF of Numerators as per given numbers 528/883, 341/833 is
GCF of Numerators i.e. for 528,341 is 11
LCM of denominators i.e. for 883,833 is 735539.
Thus, GCF of Fractions is 11/735539.Finally, GCF of Fractions for 528/883, 341/833 is 11/735539.