GCF of 44/89, 929/51, 594/375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/89, 929/51, 594/375 i.e 1/567375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/89, 929/51, 594/375.
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 44/89,929/51,594/375?
Given fractions are 44/89,929/51,594/375
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 44/89,929/51,594/375, numerators are 44,929,594
Denominators are 89,51,375
The GCF of 44,929,594 is 1 .
LCM of 89,51,375 is 567375.
The greatest common factor of 44/89,929/51,594/375 = [GCF of 44,929,594]/[LCM of 89,51,375]= 1/567375
Therefore, the GCF of 44/89,929/51,594/375 is 1/567375.
To find the highest common factor of 44,929,594, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 929 are 1, 929
The factors of 594 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
The HCF of 44,929,594 is 1.
Lets's calculate GCF of 44,929,594
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 44,929,594 By Matching Biggest Common Factor Method
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 929
:1,929
Now, list down the factors of 594
:1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 44,929,594 . The biggest common factor number is the GCF number.
So the greatest common factor 44,929,594 is 1.
Lets's calculate LCM of 89,51,375
| 3 | 89, 51, 375 |
| 89, 17, 125 |
∴ So the LCM of the given numbers is 3 x 89 x 17 x 125 = 567375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/567375
Therefore, the GCF of Fractions 44/89,929/51,594/375 is 1/567375
Least Common Multiple of 89,51,375 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 89,51,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,51,375) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(89,51,375) x common factors =1 x 3 = 3
LCM(89,51,375) = ( 89 × 51 × 375 ) / 3
LCM(89,51,375) = 1702125 / 3
LCM(89,51,375) = 567375
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 44/89, 929/51, 594/375
1. What is the HCF of 44,929,594?
The HCF of 44,929,594 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 44/89, 929/51, 594/375?
Answer: GCF of Numerators as per given numbers 44/89, 929/51, 594/375 is
GCF of Numerators i.e. for 44,929,594 is 1
LCM of denominators i.e. for 89,51,375 is 567375.
Thus, GCF of Fractions is 1/567375.Finally, GCF of Fractions for 44/89, 929/51, 594/375 is 1/567375.