GCF of 6432/471, 6871/4867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6432/471, 6871/4867 i.e 1/14601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6432/471, 6871/4867.
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 6432/471,6871/4867?
Given fractions are 6432/471,6871/4867
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 6432/471,6871/4867, numerators are 6432,6871
Denominators are 471,4867
The GCF of 6432,6871 is 1 .
LCM of 471,4867 is 14601.
The greatest common factor of 6432/471,6871/4867 = [GCF of 6432,6871]/[LCM of 471,4867]= 1/14601
Therefore, the GCF of 6432/471,6871/4867 is 1/14601.
To find the highest common factor of 6432,6871, we have to find the factors of both numbers and list the highest common factor.
The factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432
The factors of 6871 are 1, 6871
The HCF of 6432,6871 is 1.
Lets's calculate GCF of 6432,6871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6432,6871 By Matching Biggest Common Factor Method
Now, list down the factors of 6432
:1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Now, list down the factors of 6871
:1,6871
Greatest Common Factor
We found the factors 6432,6871 . The biggest common factor number is the GCF number.
So the greatest common factor 6432,6871 is 1.
Lets's calculate LCM of 471,4867
| 157 | 471, 4867 |
| 3, 31 |
∴ So the LCM of the given numbers is 157 x 3 x 31 = 14601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14601
Therefore, the GCF of Fractions 6432/471,6871/4867 is 1/14601
Least Common Multiple of 471,4867 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 471,4867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,4867) = 157
common factors(in case of two or more numbers have common factors) = 1
GCF(471,4867) x common factors =157 x 1 = 157
LCM(471,4867) = ( 471 × 4867 ) / 157
LCM(471,4867) = 2292357 / 157
LCM(471,4867) = 14601
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FAQs on GCF of Fractions of 6432/471, 6871/4867
1. What is the HCF of 6432,6871?
The HCF of 6432,6871 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 6432/471, 6871/4867?
Answer: GCF of Numerators as per given numbers 6432/471, 6871/4867 is
GCF of Numerators i.e. for 6432,6871 is 1
LCM of denominators i.e. for 471,4867 is 14601.
Thus, GCF of Fractions is 1/14601.Finally, GCF of Fractions for 6432/471, 6871/4867 is 1/14601.