GCF of 54/833, 127/382, 360/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 54/833, 127/382, 360/898 i.e 1/142874494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/833, 127/382, 360/898.
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 54/833,127/382,360/898?
Given fractions are 54/833,127/382,360/898
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 54/833,127/382,360/898, numerators are 54,127,360
Denominators are 833,382,898
The GCF of 54,127,360 is 1 .
LCM of 833,382,898 is 142874494.
The greatest common factor of 54/833,127/382,360/898 = [GCF of 54,127,360]/[LCM of 833,382,898]= 1/142874494
Therefore, the GCF of 54/833,127/382,360/898 is 1/142874494.
To find the highest common factor of 54,127,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 127 are 1, 127
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 54,127,360 is 1.
Lets's calculate GCF of 54,127,360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 54,127,360 By Matching Biggest Common Factor Method
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 127
:1,127
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 54,127,360 . The biggest common factor number is the GCF number.
So the greatest common factor 54,127,360 is 1.
Lets's calculate LCM of 833,382,898
| 2 | 833, 382, 898 |
| 833, 191, 449 |
∴ So the LCM of the given numbers is 2 x 833 x 191 x 449 = 142874494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142874494
Therefore, the GCF of Fractions 54/833,127/382,360/898 is 1/142874494
Least Common Multiple of 833,382,898 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 833,382,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,382,898) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(833,382,898) x common factors =1 x 2 = 2
LCM(833,382,898) = ( 833 × 382 × 898 ) / 2
LCM(833,382,898) = 285748988 / 2
LCM(833,382,898) = 142874494
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FAQs on GCF of Fractions of 54/833, 127/382, 360/898
1. What is the HCF of 54,127,360?
The HCF of 54,127,360 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 54/833, 127/382, 360/898?
Answer: GCF of Numerators as per given numbers 54/833, 127/382, 360/898 is
GCF of Numerators i.e. for 54,127,360 is 1
LCM of denominators i.e. for 833,382,898 is 142874494.
Thus, GCF of Fractions is 1/142874494.Finally, GCF of Fractions for 54/833, 127/382, 360/898 is 1/142874494.