GCF of 3882/384, 1879/605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3882/384, 1879/605 i.e 1/232320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3882/384, 1879/605.
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 3882/384,1879/605?
Given fractions are 3882/384,1879/605
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 3882/384,1879/605, numerators are 3882,1879
Denominators are 384,605
The GCF of 3882,1879 is 1 .
LCM of 384,605 is 232320.
The greatest common factor of 3882/384,1879/605 = [GCF of 3882,1879]/[LCM of 384,605]= 1/232320
Therefore, the GCF of 3882/384,1879/605 is 1/232320.
To find the highest common factor of 3882,1879, we have to find the factors of both numbers and list the highest common factor.
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The factors of 1879 are 1, 1879
The HCF of 3882,1879 is 1.
Lets's calculate GCF of 3882,1879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3882,1879 By Matching Biggest Common Factor Method
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Now, list down the factors of 1879
:1,1879
Greatest Common Factor
We found the factors 3882,1879 . The biggest common factor number is the GCF number.
So the greatest common factor 3882,1879 is 1.
Lets's calculate LCM of 384,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 232320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232320
Therefore, the GCF of Fractions 3882/384,1879/605 is 1/232320
Least Common Multiple of 384,605 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 384,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(384,605) x common factors =1 x 1 = 1
LCM(384,605) = ( 384 × 605 ) / 1
LCM(384,605) = 232320 / 1
LCM(384,605) = 232320
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FAQs on GCF of Fractions of 3882/384, 1879/605
1. What is the HCF of 3882,1879?
The HCF of 3882,1879 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 3882/384, 1879/605?
Answer: GCF of Numerators as per given numbers 3882/384, 1879/605 is
GCF of Numerators i.e. for 3882,1879 is 1
LCM of denominators i.e. for 384,605 is 232320.
Thus, GCF of Fractions is 1/232320.Finally, GCF of Fractions for 3882/384, 1879/605 is 1/232320.