GCF of 72/44, 375/36, 723/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 72/44, 375/36, 723/117 i.e 3/5148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/44, 375/36, 723/117.
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 72/44,375/36,723/117?
Given fractions are 72/44,375/36,723/117
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 72/44,375/36,723/117, numerators are 72,375,723
Denominators are 44,36,117
The GCF of 72,375,723 is 3 .
LCM of 44,36,117 is 5148.
The greatest common factor of 72/44,375/36,723/117 = [GCF of 72,375,723]/[LCM of 44,36,117]= 3/5148
Therefore, the GCF of 72/44,375/36,723/117 is 3/5148.
To find the highest common factor of 72,375,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375
The factors of 723 are 1, 3, 241, 723
The HCF of 72,375,723 is 3.
Lets's calculate GCF of 72,375,723
| 3 | 72, 375, 723 |
| 24, 125, 241 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 72,375,723 By Matching Biggest Common Factor Method
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 375
:1,3,5,15,25,75,125,375
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 72,375,723 . The biggest common factor number is the GCF number.
So the greatest common factor 72,375,723 is 3.
Lets's calculate LCM of 44,36,117
| 2 | 44, 36, 117 |
| 2 | 22, 18, 117 |
| 3 | 11, 9, 117 |
| 3 | 11, 3, 39 |
| 11, 1, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 13 = 5148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5148
Therefore, the GCF of Fractions 72/44,375/36,723/117 is 3/5148
Least Common Multiple of 44,36,117 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 44,36,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,36,117) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(44,36,117) x common factors =1 x 36 = 36
LCM(44,36,117) = ( 44 × 36 × 117 ) / 36
LCM(44,36,117) = 185328 / 36
LCM(44,36,117) = 5148
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FAQs on GCF of Fractions of 72/44, 375/36, 723/117
1. What is the HCF of 72,375,723?
The HCF of 72,375,723 is 3
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 72/44, 375/36, 723/117?
Answer: GCF of Numerators as per given numbers 72/44, 375/36, 723/117 is
GCF of Numerators i.e. for 72,375,723 is 3
LCM of denominators i.e. for 44,36,117 is 5148.
Thus, GCF of Fractions is 3/5148.Finally, GCF of Fractions for 72/44, 375/36, 723/117 is 3/5148.