Use our free GCF of Fractions Calculator tool to compute the GCF of 528/825, 470/262 i.e 2/216150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/825, 470/262.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/825,470/262
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 528/825,470/262, numerators are 528,470
Denominators are 825,262
The GCF of 528,470 is 2 .
LCM of 825,262 is 216150.
The greatest common factor of 528/825,470/262 = [GCF of 528,470]/[LCM of 825,262]= 2/216150
Therefore, the GCF of 528/825,470/262 is 2/216150.
To find the highest common factor of 528,470, 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 470 are 1, 2, 5, 10, 47, 94, 235, 470
The HCF of 528,470 is 2.
Lets's calculate GCF of 528,470
2 | 528, 470 |
264, 235 |
∴ So the GCF of the given numbers is 2 = 2
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 470
:1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 528,470 . The biggest common factor number is the GCF number.
So the greatest common factor 528,470 is 2.
Lets's calculate LCM of 825,262
Given numbers has no common factors except 1. So, there LCM is their product i.e 216150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/216150
Therefore, the GCF of Fractions 528/825,470/262 is 2/216150
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 825,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,262) x common factors =1 x 1 = 1
LCM(825,262) = ( 825 × 262 ) / 1
LCM(825,262) = 216150 / 1
LCM(825,262) = 216150
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 528,470?
The HCF of 528,470 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 528/825, 470/262?
Answer: GCF of Numerators as per given numbers 528/825, 470/262 is
GCF of Numerators i.e. for 528,470 is 2
LCM of denominators i.e. for 825,262 is 216150.
Thus, GCF of Fractions is 2/216150.Finally, GCF of Fractions for 528/825, 470/262 is 2/216150.