GCF of 8563/876, 3184/118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8563/876, 3184/118 i.e 1/51684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8563/876, 3184/118.
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 8563/876,3184/118?
Given fractions are 8563/876,3184/118
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 8563/876,3184/118, numerators are 8563,3184
Denominators are 876,118
The GCF of 8563,3184 is 1 .
LCM of 876,118 is 51684.
The greatest common factor of 8563/876,3184/118 = [GCF of 8563,3184]/[LCM of 876,118]= 1/51684
Therefore, the GCF of 8563/876,3184/118 is 1/51684.
To find the highest common factor of 8563,3184, we have to find the factors of both numbers and list the highest common factor.
The factors of 8563 are 1, 8563
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The HCF of 8563,3184 is 1.
Lets's calculate GCF of 8563,3184
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8563,3184 By Matching Biggest Common Factor Method
Now, list down the factors of 8563
:1,8563
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 8563,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 8563,3184 is 1.
Lets's calculate LCM of 876,118
| 2 | 876, 118 |
| 438, 59 |
∴ So the LCM of the given numbers is 2 x 438 x 59 = 51684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51684
Therefore, the GCF of Fractions 8563/876,3184/118 is 1/51684
Least Common Multiple of 876,118 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 876,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,118) x common factors =2 x 1 = 2
LCM(876,118) = ( 876 × 118 ) / 2
LCM(876,118) = 103368 / 2
LCM(876,118) = 51684
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FAQs on GCF of Fractions of 8563/876, 3184/118
1. What is the HCF of 8563,3184?
The HCF of 8563,3184 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 8563/876, 3184/118?
Answer: GCF of Numerators as per given numbers 8563/876, 3184/118 is
GCF of Numerators i.e. for 8563,3184 is 1
LCM of denominators i.e. for 876,118 is 51684.
Thus, GCF of Fractions is 1/51684.Finally, GCF of Fractions for 8563/876, 3184/118 is 1/51684.