GCF of 843/72, 760/78, 538/96
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 843/72, 760/78, 538/96 i.e 1/3744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 843/72, 760/78, 538/96.
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 843/72,760/78,538/96?
Given fractions are 843/72,760/78,538/96
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 843/72,760/78,538/96, numerators are 843,760,538
Denominators are 72,78,96
The GCF of 843,760,538 is 1 .
LCM of 72,78,96 is 3744.
The greatest common factor of 843/72,760/78,538/96 = [GCF of 843,760,538]/[LCM of 72,78,96]= 1/3744
Therefore, the GCF of 843/72,760/78,538/96 is 1/3744.
To find the highest common factor of 843,760,538, we have to find the factors of both numbers and list the highest common factor.
The factors of 843 are 1, 3, 281, 843
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 538 are 1, 2, 269, 538
The HCF of 843,760,538 is 1.
Lets's calculate GCF of 843,760,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 843,760,538 By Matching Biggest Common Factor Method
Now, list down the factors of 843
:1,3,281,843
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 538
:1,2,269,538
Greatest Common Factor
We found the factors 843,760,538 . The biggest common factor number is the GCF number.
So the greatest common factor 843,760,538 is 1.
Lets's calculate LCM of 72,78,96
| 2 | 72, 78, 96 |
| 2 | 36, 39, 48 |
| 2 | 18, 39, 24 |
| 3 | 9, 39, 12 |
| 3, 13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 4 = 3744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3744
Therefore, the GCF of Fractions 843/72,760/78,538/96 is 1/3744
Least Common Multiple of 72,78,96 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 72,78,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,78,96) = 6
common factors(in case of two or more numbers have common factors) = 24
GCF(72,78,96) x common factors =6 x 24 = 144
LCM(72,78,96) = ( 72 × 78 × 96 ) / 144
LCM(72,78,96) = 539136 / 144
LCM(72,78,96) = 3744
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FAQs on GCF of Fractions of 843/72, 760/78, 538/96
1. What is the HCF of 843,760,538?
The HCF of 843,760,538 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 843/72, 760/78, 538/96?
Answer: GCF of Numerators as per given numbers 843/72, 760/78, 538/96 is
GCF of Numerators i.e. for 843,760,538 is 1
LCM of denominators i.e. for 72,78,96 is 3744.
Thus, GCF of Fractions is 1/3744.Finally, GCF of Fractions for 843/72, 760/78, 538/96 is 1/3744.