GCF of 91/54, 720/96, 750/279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 91/54, 720/96, 750/279 i.e 1/26784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/54, 720/96, 750/279.
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 91/54,720/96,750/279?
Given fractions are 91/54,720/96,750/279
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 91/54,720/96,750/279, numerators are 91,720,750
Denominators are 54,96,279
The GCF of 91,720,750 is 1 .
LCM of 54,96,279 is 26784.
The greatest common factor of 91/54,720/96,750/279 = [GCF of 91,720,750]/[LCM of 54,96,279]= 1/26784
Therefore, the GCF of 91/54,720/96,750/279 is 1/26784.
To find the highest common factor of 91,720,750, we have to find the factors of both numbers and list the highest common factor.
The factors of 91 are 1, 7, 13, 91
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The HCF of 91,720,750 is 1.
Lets's calculate GCF of 91,720,750
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 91,720,750 By Matching Biggest Common Factor Method
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 91,720,750 . The biggest common factor number is the GCF number.
So the greatest common factor 91,720,750 is 1.
Lets's calculate LCM of 54,96,279
| 2 | 54, 96, 279 |
| 3 | 27, 48, 279 |
| 3 | 9, 16, 93 |
| 3, 16, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 16 x 31 = 26784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26784
Therefore, the GCF of Fractions 91/54,720/96,750/279 is 1/26784
Least Common Multiple of 54,96,279 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 54,96,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,96,279) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(54,96,279) x common factors =3 x 18 = 54
LCM(54,96,279) = ( 54 × 96 × 279 ) / 54
LCM(54,96,279) = 1446336 / 54
LCM(54,96,279) = 26784
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FAQs on GCF of Fractions of 91/54, 720/96, 750/279
1. What is the HCF of 91,720,750?
The HCF of 91,720,750 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 91/54, 720/96, 750/279?
Answer: GCF of Numerators as per given numbers 91/54, 720/96, 750/279 is
GCF of Numerators i.e. for 91,720,750 is 1
LCM of denominators i.e. for 54,96,279 is 26784.
Thus, GCF of Fractions is 1/26784.Finally, GCF of Fractions for 91/54, 720/96, 750/279 is 1/26784.