GCF of 8546/567, 2102/1881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8546/567, 2102/1881 i.e 2/118503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8546/567, 2102/1881.
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 8546/567,2102/1881?
Given fractions are 8546/567,2102/1881
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 8546/567,2102/1881, numerators are 8546,2102
Denominators are 567,1881
The GCF of 8546,2102 is 2 .
LCM of 567,1881 is 118503.
The greatest common factor of 8546/567,2102/1881 = [GCF of 8546,2102]/[LCM of 567,1881]= 2/118503
Therefore, the GCF of 8546/567,2102/1881 is 2/118503.
To find the highest common factor of 8546,2102, we have to find the factors of both numbers and list the highest common factor.
The factors of 8546 are 1, 2, 4273, 8546
The factors of 2102 are 1, 2, 1051, 2102
The HCF of 8546,2102 is 2.
Lets's calculate GCF of 8546,2102
| 2 | 8546, 2102 |
| 4273, 1051 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8546,2102 By Matching Biggest Common Factor Method
Now, list down the factors of 8546
:1,2,4273,8546
Now, list down the factors of 2102
:1,2,1051,2102
Greatest Common Factor
We found the factors 8546,2102 . The biggest common factor number is the GCF number.
So the greatest common factor 8546,2102 is 2.
Lets's calculate LCM of 567,1881
| 3 | 567, 1881 |
| 3 | 189, 627 |
| 63, 209 |
∴ So the LCM of the given numbers is 3 x 3 x 63 x 209 = 118503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118503
Therefore, the GCF of Fractions 8546/567,2102/1881 is 2/118503
Least Common Multiple of 567,1881 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 567,1881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,1881) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(567,1881) x common factors =9 x 1 = 9
LCM(567,1881) = ( 567 × 1881 ) / 9
LCM(567,1881) = 1066527 / 9
LCM(567,1881) = 118503
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FAQs on GCF of Fractions of 8546/567, 2102/1881
1. What is the HCF of 8546,2102?
The HCF of 8546,2102 is 2
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 8546/567, 2102/1881?
Answer: GCF of Numerators as per given numbers 8546/567, 2102/1881 is
GCF of Numerators i.e. for 8546,2102 is 2
LCM of denominators i.e. for 567,1881 is 118503.
Thus, GCF of Fractions is 2/118503.Finally, GCF of Fractions for 8546/567, 2102/1881 is 2/118503.