GCF of 5694/365, 8801/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5694/365, 8801/271 i.e 13/98915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5694/365, 8801/271.
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 5694/365,8801/271?
Given fractions are 5694/365,8801/271
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 5694/365,8801/271, numerators are 5694,8801
Denominators are 365,271
The GCF of 5694,8801 is 13 .
LCM of 365,271 is 98915.
The greatest common factor of 5694/365,8801/271 = [GCF of 5694,8801]/[LCM of 365,271]= 13/98915
Therefore, the GCF of 5694/365,8801/271 is 13/98915.
To find the highest common factor of 5694,8801, we have to find the factors of both numbers and list the highest common factor.
The factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694
The factors of 8801 are 1, 13, 677, 8801
The HCF of 5694,8801 is 13.
Lets's calculate GCF of 5694,8801
| 13 | 5694, 8801 |
| 438, 677 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5694,8801 By Matching Biggest Common Factor Method
Now, list down the factors of 5694
:1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694
Now, list down the factors of 8801
:1,13,677,8801
Greatest Common Factor
We found the factors 5694,8801 . The biggest common factor number is the GCF number.
So the greatest common factor 5694,8801 is 13.
Lets's calculate LCM of 365,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 98915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/98915
Therefore, the GCF of Fractions 5694/365,8801/271 is 13/98915
Least Common Multiple of 365,271 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 365,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,271) x common factors =1 x 1 = 1
LCM(365,271) = ( 365 × 271 ) / 1
LCM(365,271) = 98915 / 1
LCM(365,271) = 98915
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FAQs on GCF of Fractions of 5694/365, 8801/271
1. What is the HCF of 5694,8801?
The HCF of 5694,8801 is 13
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 5694/365, 8801/271?
Answer: GCF of Numerators as per given numbers 5694/365, 8801/271 is
GCF of Numerators i.e. for 5694,8801 is 13
LCM of denominators i.e. for 365,271 is 98915.
Thus, GCF of Fractions is 13/98915.Finally, GCF of Fractions for 5694/365, 8801/271 is 13/98915.