GCF of 8191/125, 7197/4210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8191/125, 7197/4210 i.e 1/105250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8191/125, 7197/4210.
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 8191/125,7197/4210?
Given fractions are 8191/125,7197/4210
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 8191/125,7197/4210, numerators are 8191,7197
Denominators are 125,4210
The GCF of 8191,7197 is 1 .
LCM of 125,4210 is 105250.
The greatest common factor of 8191/125,7197/4210 = [GCF of 8191,7197]/[LCM of 125,4210]= 1/105250
Therefore, the GCF of 8191/125,7197/4210 is 1/105250.
To find the highest common factor of 8191,7197, we have to find the factors of both numbers and list the highest common factor.
The factors of 8191 are 1, 8191
The factors of 7197 are 1, 3, 2399, 7197
The HCF of 8191,7197 is 1.
Lets's calculate GCF of 8191,7197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8191,7197 By Matching Biggest Common Factor Method
Now, list down the factors of 8191
:1,8191
Now, list down the factors of 7197
:1,3,2399,7197
Greatest Common Factor
We found the factors 8191,7197 . The biggest common factor number is the GCF number.
So the greatest common factor 8191,7197 is 1.
Lets's calculate LCM of 125,4210
| 5 | 125, 4210 |
| 25, 842 |
∴ So the LCM of the given numbers is 5 x 25 x 842 = 105250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105250
Therefore, the GCF of Fractions 8191/125,7197/4210 is 1/105250
Least Common Multiple of 125,4210 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 125,4210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,4210) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(125,4210) x common factors =5 x 1 = 5
LCM(125,4210) = ( 125 × 4210 ) / 5
LCM(125,4210) = 526250 / 5
LCM(125,4210) = 105250
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FAQs on GCF of Fractions of 8191/125, 7197/4210
1. What is the HCF of 8191,7197?
The HCF of 8191,7197 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 8191/125, 7197/4210?
Answer: GCF of Numerators as per given numbers 8191/125, 7197/4210 is
GCF of Numerators i.e. for 8191,7197 is 1
LCM of denominators i.e. for 125,4210 is 105250.
Thus, GCF of Fractions is 1/105250.Finally, GCF of Fractions for 8191/125, 7197/4210 is 1/105250.