GCF of 5470/159, 6432/8705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5470/159, 6432/8705 i.e 2/1384095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5470/159, 6432/8705.
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 5470/159,6432/8705?
Given fractions are 5470/159,6432/8705
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 5470/159,6432/8705, numerators are 5470,6432
Denominators are 159,8705
The GCF of 5470,6432 is 2 .
LCM of 159,8705 is 1384095.
The greatest common factor of 5470/159,6432/8705 = [GCF of 5470,6432]/[LCM of 159,8705]= 2/1384095
Therefore, the GCF of 5470/159,6432/8705 is 2/1384095.
To find the highest common factor of 5470,6432, we have to find the factors of both numbers and list the highest common factor.
The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470
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 HCF of 5470,6432 is 2.
Lets's calculate GCF of 5470,6432
| 2 | 5470, 6432 |
| 2735, 3216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5470,6432 By Matching Biggest Common Factor Method
Now, list down the factors of 5470
:1,2,5,10,547,1094,2735,5470
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
Greatest Common Factor
We found the factors 5470,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 5470,6432 is 2.
Lets's calculate LCM of 159,8705
Given numbers has no common factors except 1. So, there LCM is their product i.e 1384095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1384095
Therefore, the GCF of Fractions 5470/159,6432/8705 is 2/1384095
Least Common Multiple of 159,8705 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 159,8705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,8705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,8705) x common factors =1 x 1 = 1
LCM(159,8705) = ( 159 × 8705 ) / 1
LCM(159,8705) = 1384095 / 1
LCM(159,8705) = 1384095
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FAQs on GCF of Fractions of 5470/159, 6432/8705
1. What is the HCF of 5470,6432?
The HCF of 5470,6432 is 2
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 5470/159, 6432/8705?
Answer: GCF of Numerators as per given numbers 5470/159, 6432/8705 is
GCF of Numerators i.e. for 5470,6432 is 2
LCM of denominators i.e. for 159,8705 is 1384095.
Thus, GCF of Fractions is 2/1384095.Finally, GCF of Fractions for 5470/159, 6432/8705 is 2/1384095.