Use our free GCF of Fractions Calculator tool to compute the GCF of 528/72, 415/77, 632/44 i.e 1/5544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 528/72, 415/77, 632/44.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/72,415/77,632/44
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 528/72,415/77,632/44, numerators are 528,415,632
Denominators are 72,77,44
The GCF of 528,415,632 is 1 .
LCM of 72,77,44 is 5544.
The greatest common factor of 528/72,415/77,632/44 = [GCF of 528,415,632]/[LCM of 72,77,44]= 1/5544
Therefore, the GCF of 528/72,415/77,632/44 is 1/5544.
To find the highest common factor of 528,415,632, 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 415 are 1, 5, 83, 415
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The HCF of 528,415,632 is 1.
Lets's calculate GCF of 528,415,632
∴ So GCF of numbers is 1 because of no common factors present between them.
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 415
:1,5,83,415
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 528,415,632 . The biggest common factor number is the GCF number.
So the greatest common factor 528,415,632 is 1.
Lets's calculate LCM of 72,77,44
2 | 72, 77, 44 |
2 | 36, 77, 22 |
11 | 18, 77, 11 |
18, 7, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 18 x 7 x 1 = 5544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5544
Therefore, the GCF of Fractions 528/72,415/77,632/44 is 1/5544
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 72,77,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,77,44) = 1
common factors(in case of two or more numbers have common factors) = 44
GCF(72,77,44) x common factors =1 x 44 = 44
LCM(72,77,44) = ( 72 × 77 × 44 ) / 44
LCM(72,77,44) = 243936 / 44
LCM(72,77,44) = 5544
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 528,415,632?
The HCF of 528,415,632 is 1
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 528/72, 415/77, 632/44?
Answer: GCF of Numerators as per given numbers 528/72, 415/77, 632/44 is
GCF of Numerators i.e. for 528,415,632 is 1
LCM of denominators i.e. for 72,77,44 is 5544.
Thus, GCF of Fractions is 1/5544.Finally, GCF of Fractions for 528/72, 415/77, 632/44 is 1/5544.