GCF of 3896/129, 6136/447
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3896/129, 6136/447 i.e 8/19221 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3896/129, 6136/447.
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 3896/129,6136/447?
Given fractions are 3896/129,6136/447
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 3896/129,6136/447, numerators are 3896,6136
Denominators are 129,447
The GCF of 3896,6136 is 8 .
LCM of 129,447 is 19221.
The greatest common factor of 3896/129,6136/447 = [GCF of 3896,6136]/[LCM of 129,447]= 8/19221
Therefore, the GCF of 3896/129,6136/447 is 8/19221.
To find the highest common factor of 3896,6136, we have to find the factors of both numbers and list the highest common factor.
The factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896
The factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136
The HCF of 3896,6136 is 8.
Lets's calculate GCF of 3896,6136
| 2 | 3896, 6136 |
| 2 | 1948, 3068 |
| 2 | 974, 1534 |
| 487, 767 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3896,6136 By Matching Biggest Common Factor Method
Now, list down the factors of 3896
:1,2,4,8,487,974,1948,3896
Now, list down the factors of 6136
:1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136
Greatest Common Factor
We found the factors 3896,6136 . The biggest common factor number is the GCF number.
So the greatest common factor 3896,6136 is 8.
Lets's calculate LCM of 129,447
| 3 | 129, 447 |
| 43, 149 |
∴ So the LCM of the given numbers is 3 x 43 x 149 = 19221
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/19221
Therefore, the GCF of Fractions 3896/129,6136/447 is 8/19221
Least Common Multiple of 129,447 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 129,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,447) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,447) x common factors =3 x 1 = 3
LCM(129,447) = ( 129 × 447 ) / 3
LCM(129,447) = 57663 / 3
LCM(129,447) = 19221
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FAQs on GCF of Fractions of 3896/129, 6136/447
1. What is the HCF of 3896,6136?
The HCF of 3896,6136 is 8
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 3896/129, 6136/447?
Answer: GCF of Numerators as per given numbers 3896/129, 6136/447 is
GCF of Numerators i.e. for 3896,6136 is 8
LCM of denominators i.e. for 129,447 is 19221.
Thus, GCF of Fractions is 8/19221.Finally, GCF of Fractions for 3896/129, 6136/447 is 8/19221.