GCF of 876/15, 204/8743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/15, 204/8743 i.e 12/131145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/15, 204/8743.
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 876/15,204/8743?
Given fractions are 876/15,204/8743
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 876/15,204/8743, numerators are 876,204
Denominators are 15,8743
The GCF of 876,204 is 12 .
LCM of 15,8743 is 131145.
The greatest common factor of 876/15,204/8743 = [GCF of 876,204]/[LCM of 15,8743]= 12/131145
Therefore, the GCF of 876/15,204/8743 is 12/131145.
To find the highest common factor of 876,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 876,204 is 12.
Lets's calculate GCF of 876,204
| 2 | 876, 204 |
| 2 | 438, 102 |
| 3 | 219, 51 |
| 73, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 876,204 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 876,204 . The biggest common factor number is the GCF number.
So the greatest common factor 876,204 is 12.
Lets's calculate LCM of 15,8743
Given numbers has no common factors except 1. So, there LCM is their product i.e 131145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/131145
Therefore, the GCF of Fractions 876/15,204/8743 is 12/131145
Least Common Multiple of 15,8743 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 15,8743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,8743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,8743) x common factors =1 x 1 = 1
LCM(15,8743) = ( 15 × 8743 ) / 1
LCM(15,8743) = 131145 / 1
LCM(15,8743) = 131145
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FAQs on GCF of Fractions of 876/15, 204/8743
1. What is the HCF of 876,204?
The HCF of 876,204 is 12
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 876/15, 204/8743?
Answer: GCF of Numerators as per given numbers 876/15, 204/8743 is
GCF of Numerators i.e. for 876,204 is 12
LCM of denominators i.e. for 15,8743 is 131145.
Thus, GCF of Fractions is 12/131145.Finally, GCF of Fractions for 876/15, 204/8743 is 12/131145.