GCF of 44/322, 47/147, 752/929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 44/322, 47/147, 752/929 i.e 1/6281898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/322, 47/147, 752/929.
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 44/322,47/147,752/929?
Given fractions are 44/322,47/147,752/929
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 44/322,47/147,752/929, numerators are 44,47,752
Denominators are 322,147,929
The GCF of 44,47,752 is 1 .
LCM of 322,147,929 is 6281898.
The greatest common factor of 44/322,47/147,752/929 = [GCF of 44,47,752]/[LCM of 322,147,929]= 1/6281898
Therefore, the GCF of 44/322,47/147,752/929 is 1/6281898.
To find the highest common factor of 44,47,752, 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 47 are 1, 47
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 44,47,752 is 1.
Lets's calculate GCF of 44,47,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 44,47,752 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 47
:1,47
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 44,47,752 . The biggest common factor number is the GCF number.
So the greatest common factor 44,47,752 is 1.
Lets's calculate LCM of 322,147,929
| 7 | 322, 147, 929 |
| 46, 21, 929 |
∴ So the LCM of the given numbers is 7 x 46 x 21 x 929 = 6281898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6281898
Therefore, the GCF of Fractions 44/322,47/147,752/929 is 1/6281898
Least Common Multiple of 322,147,929 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 322,147,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,147,929) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(322,147,929) x common factors =1 x 7 = 7
LCM(322,147,929) = ( 322 × 147 × 929 ) / 7
LCM(322,147,929) = 43973286 / 7
LCM(322,147,929) = 6281898
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FAQs on GCF of Fractions of 44/322, 47/147, 752/929
1. What is the HCF of 44,47,752?
The HCF of 44,47,752 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 44/322, 47/147, 752/929?
Answer: GCF of Numerators as per given numbers 44/322, 47/147, 752/929 is
GCF of Numerators i.e. for 44,47,752 is 1
LCM of denominators i.e. for 322,147,929 is 6281898.
Thus, GCF of Fractions is 1/6281898.Finally, GCF of Fractions for 44/322, 47/147, 752/929 is 1/6281898.