GCF of 4332/129, 3876/8867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4332/129, 3876/8867 i.e 228/1143843 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4332/129, 3876/8867.
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 4332/129,3876/8867?
Given fractions are 4332/129,3876/8867
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 4332/129,3876/8867, numerators are 4332,3876
Denominators are 129,8867
The GCF of 4332,3876 is 228 .
LCM of 129,8867 is 1143843.
The greatest common factor of 4332/129,3876/8867 = [GCF of 4332,3876]/[LCM of 129,8867]= 228/1143843
Therefore, the GCF of 4332/129,3876/8867 is 228/1143843.
To find the highest common factor of 4332,3876, we have to find the factors of both numbers and list the highest common factor.
The factors of 4332 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 361, 722, 1083, 1444, 2166, 4332
The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The HCF of 4332,3876 is 228.
Lets's calculate GCF of 4332,3876
| 2 | 4332, 3876 |
| 2 | 2166, 1938 |
| 3 | 1083, 969 |
| 19 | 361, 323 |
| 19, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 19 = 228
Greatest Common Factor of 4332,3876 By Matching Biggest Common Factor Method
Now, list down the factors of 4332
:1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Greatest Common Factor
We found the factors 4332,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 4332,3876 is 228.
Lets's calculate LCM of 129,8867
Given numbers has no common factors except 1. So, there LCM is their product i.e 1143843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 228/1143843
Therefore, the GCF of Fractions 4332/129,3876/8867 is 228/1143843
Least Common Multiple of 129,8867 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 129,8867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,8867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,8867) x common factors =1 x 1 = 1
LCM(129,8867) = ( 129 × 8867 ) / 1
LCM(129,8867) = 1143843 / 1
LCM(129,8867) = 1143843
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FAQs on GCF of Fractions of 4332/129, 3876/8867
1. What is the HCF of 4332,3876?
The HCF of 4332,3876 is 228
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 4332/129, 3876/8867?
Answer: GCF of Numerators as per given numbers 4332/129, 3876/8867 is
GCF of Numerators i.e. for 4332,3876 is 228
LCM of denominators i.e. for 129,8867 is 1143843.
Thus, GCF of Fractions is 228/1143843.Finally, GCF of Fractions for 4332/129, 3876/8867 is 228/1143843.