GCF of 81/760, 96/458, 849/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/760, 96/458, 849/554 i.e 3/48209080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/760, 96/458, 849/554.
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 81/760,96/458,849/554?
Given fractions are 81/760,96/458,849/554
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 81/760,96/458,849/554, numerators are 81,96,849
Denominators are 760,458,554
The GCF of 81,96,849 is 3 .
LCM of 760,458,554 is 48209080.
The greatest common factor of 81/760,96/458,849/554 = [GCF of 81,96,849]/[LCM of 760,458,554]= 3/48209080
Therefore, the GCF of 81/760,96/458,849/554 is 3/48209080.
To find the highest common factor of 81,96,849, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 849 are 1, 3, 283, 849
The HCF of 81,96,849 is 3.
Lets's calculate GCF of 81,96,849
| 3 | 81, 96, 849 |
| 27, 32, 283 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 81,96,849 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 849
:1,3,283,849
Greatest Common Factor
We found the factors 81,96,849 . The biggest common factor number is the GCF number.
So the greatest common factor 81,96,849 is 3.
Lets's calculate LCM of 760,458,554
| 2 | 760, 458, 554 |
| 380, 229, 277 |
∴ So the LCM of the given numbers is 2 x 380 x 229 x 277 = 48209080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48209080
Therefore, the GCF of Fractions 81/760,96/458,849/554 is 3/48209080
Least Common Multiple of 760,458,554 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 760,458,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,458,554) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(760,458,554) x common factors =2 x 2 = 4
LCM(760,458,554) = ( 760 × 458 × 554 ) / 4
LCM(760,458,554) = 192836320 / 4
LCM(760,458,554) = 48209080
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FAQs on GCF of Fractions of 81/760, 96/458, 849/554
1. What is the HCF of 81,96,849?
The HCF of 81,96,849 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 81/760, 96/458, 849/554?
Answer: GCF of Numerators as per given numbers 81/760, 96/458, 849/554 is
GCF of Numerators i.e. for 81,96,849 is 3
LCM of denominators i.e. for 760,458,554 is 48209080.
Thus, GCF of Fractions is 3/48209080.Finally, GCF of Fractions for 81/760, 96/458, 849/554 is 3/48209080.