GCF of 8876/151, 6017/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8876/151, 6017/151 i.e 1/151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8876/151, 6017/151.
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 8876/151,6017/151?
Given fractions are 8876/151,6017/151
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 8876/151,6017/151, numerators are 8876,6017
Denominators are 151,151
The GCF of 8876,6017 is 1 .
LCM of 151,151 is 151.
The greatest common factor of 8876/151,6017/151 = [GCF of 8876,6017]/[LCM of 151,151]= 1/151
Therefore, the GCF of 8876/151,6017/151 is 1/151.
To find the highest common factor of 8876,6017, we have to find the factors of both numbers and list the highest common factor.
The factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876
The factors of 6017 are 1, 11, 547, 6017
The HCF of 8876,6017 is 1.
Lets's calculate GCF of 8876,6017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8876,6017 By Matching Biggest Common Factor Method
Now, list down the factors of 8876
:1,2,4,7,14,28,317,634,1268,2219,4438,8876
Now, list down the factors of 6017
:1,11,547,6017
Greatest Common Factor
We found the factors 8876,6017 . The biggest common factor number is the GCF number.
So the greatest common factor 8876,6017 is 1.
Lets's calculate LCM of 151,151
| 151 | 151, 151 |
| 1, 1 |
∴ So the LCM of the given numbers is 151 x 1 x 1 = 151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151
Therefore, the GCF of Fractions 8876/151,6017/151 is 1/151
Least Common Multiple of 151,151 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 151,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,151) = 151
common factors(in case of two or more numbers have common factors) = 1
GCF(151,151) x common factors =151 x 1 = 151
LCM(151,151) = ( 151 × 151 ) / 151
LCM(151,151) = 22801 / 151
LCM(151,151) = 151
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FAQs on GCF of Fractions of 8876/151, 6017/151
1. What is the HCF of 8876,6017?
The HCF of 8876,6017 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 8876/151, 6017/151?
Answer: GCF of Numerators as per given numbers 8876/151, 6017/151 is
GCF of Numerators i.e. for 8876,6017 is 1
LCM of denominators i.e. for 151,151 is 151.
Thus, GCF of Fractions is 1/151.Finally, GCF of Fractions for 8876/151, 6017/151 is 1/151.