GCF of 1004/667, 3882/6381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1004/667, 3882/6381 i.e 2/4256127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1004/667, 3882/6381.
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 1004/667,3882/6381?
Given fractions are 1004/667,3882/6381
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 1004/667,3882/6381, numerators are 1004,3882
Denominators are 667,6381
The GCF of 1004,3882 is 2 .
LCM of 667,6381 is 4256127.
The greatest common factor of 1004/667,3882/6381 = [GCF of 1004,3882]/[LCM of 667,6381]= 2/4256127
Therefore, the GCF of 1004/667,3882/6381 is 2/4256127.
To find the highest common factor of 1004,3882, we have to find the factors of both numbers and list the highest common factor.
The factors of 1004 are 1, 2, 4, 251, 502, 1004
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The HCF of 1004,3882 is 2.
Lets's calculate GCF of 1004,3882
| 2 | 1004, 3882 |
| 502, 1941 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1004,3882 By Matching Biggest Common Factor Method
Now, list down the factors of 1004
:1,2,4,251,502,1004
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Greatest Common Factor
We found the factors 1004,3882 . The biggest common factor number is the GCF number.
So the greatest common factor 1004,3882 is 2.
Lets's calculate LCM of 667,6381
Given numbers has no common factors except 1. So, there LCM is their product i.e 4256127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4256127
Therefore, the GCF of Fractions 1004/667,3882/6381 is 2/4256127
Least Common Multiple of 667,6381 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 667,6381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,6381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,6381) x common factors =1 x 1 = 1
LCM(667,6381) = ( 667 × 6381 ) / 1
LCM(667,6381) = 4256127 / 1
LCM(667,6381) = 4256127
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FAQs on GCF of Fractions of 1004/667, 3882/6381
1. What is the HCF of 1004,3882?
The HCF of 1004,3882 is 2
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 1004/667, 3882/6381?
Answer: GCF of Numerators as per given numbers 1004/667, 3882/6381 is
GCF of Numerators i.e. for 1004,3882 is 2
LCM of denominators i.e. for 667,6381 is 4256127.
Thus, GCF of Fractions is 2/4256127.Finally, GCF of Fractions for 1004/667, 3882/6381 is 2/4256127.