GCF of 2855/157, 8271/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2855/157, 8271/826 i.e 1/129682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2855/157, 8271/826.
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 2855/157,8271/826?
Given fractions are 2855/157,8271/826
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 2855/157,8271/826, numerators are 2855,8271
Denominators are 157,826
The GCF of 2855,8271 is 1 .
LCM of 157,826 is 129682.
The greatest common factor of 2855/157,8271/826 = [GCF of 2855,8271]/[LCM of 157,826]= 1/129682
Therefore, the GCF of 2855/157,8271/826 is 1/129682.
To find the highest common factor of 2855,8271, we have to find the factors of both numbers and list the highest common factor.
The factors of 2855 are 1, 5, 571, 2855
The factors of 8271 are 1, 3, 9, 919, 2757, 8271
The HCF of 2855,8271 is 1.
Lets's calculate GCF of 2855,8271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2855,8271 By Matching Biggest Common Factor Method
Now, list down the factors of 2855
:1,5,571,2855
Now, list down the factors of 8271
:1,3,9,919,2757,8271
Greatest Common Factor
We found the factors 2855,8271 . The biggest common factor number is the GCF number.
So the greatest common factor 2855,8271 is 1.
Lets's calculate LCM of 157,826
Given numbers has no common factors except 1. So, there LCM is their product i.e 129682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129682
Therefore, the GCF of Fractions 2855/157,8271/826 is 1/129682
Least Common Multiple of 157,826 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 157,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,826) x common factors =1 x 1 = 1
LCM(157,826) = ( 157 × 826 ) / 1
LCM(157,826) = 129682 / 1
LCM(157,826) = 129682
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FAQs on GCF of Fractions of 2855/157, 8271/826
1. What is the HCF of 2855,8271?
The HCF of 2855,8271 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 2855/157, 8271/826?
Answer: GCF of Numerators as per given numbers 2855/157, 8271/826 is
GCF of Numerators i.e. for 2855,8271 is 1
LCM of denominators i.e. for 157,826 is 129682.
Thus, GCF of Fractions is 1/129682.Finally, GCF of Fractions for 2855/157, 8271/826 is 1/129682.