GCF of 13/271, 54/236, 800/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/271, 54/236, 800/712 i.e 1/11384168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/271, 54/236, 800/712.
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 13/271,54/236,800/712?
Given fractions are 13/271,54/236,800/712
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 13/271,54/236,800/712, numerators are 13,54,800
Denominators are 271,236,712
The GCF of 13,54,800 is 1 .
LCM of 271,236,712 is 11384168.
The greatest common factor of 13/271,54/236,800/712 = [GCF of 13,54,800]/[LCM of 271,236,712]= 1/11384168
Therefore, the GCF of 13/271,54/236,800/712 is 1/11384168.
To find the highest common factor of 13,54,800, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
The HCF of 13,54,800 is 1.
Lets's calculate GCF of 13,54,800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,54,800 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 54
:1,2,3,6,9,18,27,54
Now, list down the factors of 800
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Greatest Common Factor
We found the factors 13,54,800 . The biggest common factor number is the GCF number.
So the greatest common factor 13,54,800 is 1.
Lets's calculate LCM of 271,236,712
| 2 | 271, 236, 712 |
| 2 | 271, 118, 356 |
| 271, 59, 178 |
∴ So the LCM of the given numbers is 2 x 2 x 271 x 59 x 178 = 11384168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11384168
Therefore, the GCF of Fractions 13/271,54/236,800/712 is 1/11384168
Least Common Multiple of 271,236,712 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 271,236,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,236,712) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(271,236,712) x common factors =1 x 4 = 4
LCM(271,236,712) = ( 271 × 236 × 712 ) / 4
LCM(271,236,712) = 45536672 / 4
LCM(271,236,712) = 11384168
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FAQs on GCF of Fractions of 13/271, 54/236, 800/712
1. What is the HCF of 13,54,800?
The HCF of 13,54,800 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 13/271, 54/236, 800/712?
Answer: GCF of Numerators as per given numbers 13/271, 54/236, 800/712 is
GCF of Numerators i.e. for 13,54,800 is 1
LCM of denominators i.e. for 271,236,712 is 11384168.
Thus, GCF of Fractions is 1/11384168.Finally, GCF of Fractions for 13/271, 54/236, 800/712 is 1/11384168.