GCF of 181/205, 7769/215
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 181/205, 7769/215 i.e 1/8815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 181/205, 7769/215.
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 181/205,7769/215?
Given fractions are 181/205,7769/215
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 181/205,7769/215, numerators are 181,7769
Denominators are 205,215
The GCF of 181,7769 is 1 .
LCM of 205,215 is 8815.
The greatest common factor of 181/205,7769/215 = [GCF of 181,7769]/[LCM of 205,215]= 1/8815
Therefore, the GCF of 181/205,7769/215 is 1/8815.
To find the highest common factor of 181,7769, we have to find the factors of both numbers and list the highest common factor.
The factors of 181 are 1, 181
The factors of 7769 are 1, 17, 457, 7769
The HCF of 181,7769 is 1.
Lets's calculate GCF of 181,7769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 181,7769 By Matching Biggest Common Factor Method
Now, list down the factors of 181
:1,181
Now, list down the factors of 7769
:1,17,457,7769
Greatest Common Factor
We found the factors 181,7769 . The biggest common factor number is the GCF number.
So the greatest common factor 181,7769 is 1.
Lets's calculate LCM of 205,215
| 5 | 205, 215 |
| 41, 43 |
∴ So the LCM of the given numbers is 5 x 41 x 43 = 8815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8815
Therefore, the GCF of Fractions 181/205,7769/215 is 1/8815
Least Common Multiple of 205,215 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 205,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,215) x common factors =5 x 1 = 5
LCM(205,215) = ( 205 × 215 ) / 5
LCM(205,215) = 44075 / 5
LCM(205,215) = 8815
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FAQs on GCF of Fractions of 181/205, 7769/215
1. What is the HCF of 181,7769?
The HCF of 181,7769 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 181/205, 7769/215?
Answer: GCF of Numerators as per given numbers 181/205, 7769/215 is
GCF of Numerators i.e. for 181,7769 is 1
LCM of denominators i.e. for 205,215 is 8815.
Thus, GCF of Fractions is 1/8815.Finally, GCF of Fractions for 181/205, 7769/215 is 1/8815.