GCF of 8091/187, 8915/2142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8091/187, 8915/2142 i.e 1/23562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8091/187, 8915/2142.
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 8091/187,8915/2142?
Given fractions are 8091/187,8915/2142
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 8091/187,8915/2142, numerators are 8091,8915
Denominators are 187,2142
The GCF of 8091,8915 is 1 .
LCM of 187,2142 is 23562.
The greatest common factor of 8091/187,8915/2142 = [GCF of 8091,8915]/[LCM of 187,2142]= 1/23562
Therefore, the GCF of 8091/187,8915/2142 is 1/23562.
To find the highest common factor of 8091,8915, we have to find the factors of both numbers and list the highest common factor.
The factors of 8091 are 1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697, 8091
The factors of 8915 are 1, 5, 1783, 8915
The HCF of 8091,8915 is 1.
Lets's calculate GCF of 8091,8915
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8091,8915 By Matching Biggest Common Factor Method
Now, list down the factors of 8091
:1,3,9,29,31,87,93,261,279,899,2697,8091
Now, list down the factors of 8915
:1,5,1783,8915
Greatest Common Factor
We found the factors 8091,8915 . The biggest common factor number is the GCF number.
So the greatest common factor 8091,8915 is 1.
Lets's calculate LCM of 187,2142
| 17 | 187, 2142 |
| 11, 126 |
∴ So the LCM of the given numbers is 17 x 11 x 126 = 23562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23562
Therefore, the GCF of Fractions 8091/187,8915/2142 is 1/23562
Least Common Multiple of 187,2142 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 187,2142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,2142) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(187,2142) x common factors =17 x 1 = 17
LCM(187,2142) = ( 187 × 2142 ) / 17
LCM(187,2142) = 400554 / 17
LCM(187,2142) = 23562
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FAQs on GCF of Fractions of 8091/187, 8915/2142
1. What is the HCF of 8091,8915?
The HCF of 8091,8915 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 8091/187, 8915/2142?
Answer: GCF of Numerators as per given numbers 8091/187, 8915/2142 is
GCF of Numerators i.e. for 8091,8915 is 1
LCM of denominators i.e. for 187,2142 is 23562.
Thus, GCF of Fractions is 1/23562.Finally, GCF of Fractions for 8091/187, 8915/2142 is 1/23562.