GCF of 4114/387, 8375/2067
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4114/387, 8375/2067 i.e 1/266643 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4114/387, 8375/2067.
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 4114/387,8375/2067?
Given fractions are 4114/387,8375/2067
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 4114/387,8375/2067, numerators are 4114,8375
Denominators are 387,2067
The GCF of 4114,8375 is 1 .
LCM of 387,2067 is 266643.
The greatest common factor of 4114/387,8375/2067 = [GCF of 4114,8375]/[LCM of 387,2067]= 1/266643
Therefore, the GCF of 4114/387,8375/2067 is 1/266643.
To find the highest common factor of 4114,8375, we have to find the factors of both numbers and list the highest common factor.
The factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
The factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375
The HCF of 4114,8375 is 1.
Lets's calculate GCF of 4114,8375
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4114,8375 By Matching Biggest Common Factor Method
Now, list down the factors of 4114
:1,2,11,17,22,34,121,187,242,374,2057,4114
Now, list down the factors of 8375
:1,5,25,67,125,335,1675,8375
Greatest Common Factor
We found the factors 4114,8375 . The biggest common factor number is the GCF number.
So the greatest common factor 4114,8375 is 1.
Lets's calculate LCM of 387,2067
| 3 | 387, 2067 |
| 129, 689 |
∴ So the LCM of the given numbers is 3 x 129 x 689 = 266643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266643
Therefore, the GCF of Fractions 4114/387,8375/2067 is 1/266643
Least Common Multiple of 387,2067 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 387,2067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,2067) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(387,2067) x common factors =3 x 1 = 3
LCM(387,2067) = ( 387 × 2067 ) / 3
LCM(387,2067) = 799929 / 3
LCM(387,2067) = 266643
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FAQs on GCF of Fractions of 4114/387, 8375/2067
1. What is the HCF of 4114,8375?
The HCF of 4114,8375 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 4114/387, 8375/2067?
Answer: GCF of Numerators as per given numbers 4114/387, 8375/2067 is
GCF of Numerators i.e. for 4114,8375 is 1
LCM of denominators i.e. for 387,2067 is 266643.
Thus, GCF of Fractions is 1/266643.Finally, GCF of Fractions for 4114/387, 8375/2067 is 1/266643.