GCF of 8285/851, 4156/1081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8285/851, 4156/1081 i.e 1/39997 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8285/851, 4156/1081.
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 8285/851,4156/1081?
Given fractions are 8285/851,4156/1081
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 8285/851,4156/1081, numerators are 8285,4156
Denominators are 851,1081
The GCF of 8285,4156 is 1 .
LCM of 851,1081 is 39997.
The greatest common factor of 8285/851,4156/1081 = [GCF of 8285,4156]/[LCM of 851,1081]= 1/39997
Therefore, the GCF of 8285/851,4156/1081 is 1/39997.
To find the highest common factor of 8285,4156, we have to find the factors of both numbers and list the highest common factor.
The factors of 8285 are 1, 5, 1657, 8285
The factors of 4156 are 1, 2, 4, 1039, 2078, 4156
The HCF of 8285,4156 is 1.
Lets's calculate GCF of 8285,4156
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8285,4156 By Matching Biggest Common Factor Method
Now, list down the factors of 8285
:1,5,1657,8285
Now, list down the factors of 4156
:1,2,4,1039,2078,4156
Greatest Common Factor
We found the factors 8285,4156 . The biggest common factor number is the GCF number.
So the greatest common factor 8285,4156 is 1.
Lets's calculate LCM of 851,1081
| 23 | 851, 1081 |
| 37, 47 |
∴ So the LCM of the given numbers is 23 x 37 x 47 = 39997
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39997
Therefore, the GCF of Fractions 8285/851,4156/1081 is 1/39997
Least Common Multiple of 851,1081 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 851,1081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,1081) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(851,1081) x common factors =23 x 1 = 23
LCM(851,1081) = ( 851 × 1081 ) / 23
LCM(851,1081) = 919931 / 23
LCM(851,1081) = 39997
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FAQs on GCF of Fractions of 8285/851, 4156/1081
1. What is the HCF of 8285,4156?
The HCF of 8285,4156 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 8285/851, 4156/1081?
Answer: GCF of Numerators as per given numbers 8285/851, 4156/1081 is
GCF of Numerators i.e. for 8285,4156 is 1
LCM of denominators i.e. for 851,1081 is 39997.
Thus, GCF of Fractions is 1/39997.Finally, GCF of Fractions for 8285/851, 4156/1081 is 1/39997.