GCF of 3992/281, 5051/6067
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3992/281, 5051/6067 i.e 1/1704827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3992/281, 5051/6067.
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 3992/281,5051/6067?
Given fractions are 3992/281,5051/6067
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 3992/281,5051/6067, numerators are 3992,5051
Denominators are 281,6067
The GCF of 3992,5051 is 1 .
LCM of 281,6067 is 1704827.
The greatest common factor of 3992/281,5051/6067 = [GCF of 3992,5051]/[LCM of 281,6067]= 1/1704827
Therefore, the GCF of 3992/281,5051/6067 is 1/1704827.
To find the highest common factor of 3992,5051, we have to find the factors of both numbers and list the highest common factor.
The factors of 3992 are 1, 2, 4, 8, 499, 998, 1996, 3992
The factors of 5051 are 1, 5051
The HCF of 3992,5051 is 1.
Lets's calculate GCF of 3992,5051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3992,5051 By Matching Biggest Common Factor Method
Now, list down the factors of 3992
:1,2,4,8,499,998,1996,3992
Now, list down the factors of 5051
:1,5051
Greatest Common Factor
We found the factors 3992,5051 . The biggest common factor number is the GCF number.
So the greatest common factor 3992,5051 is 1.
Lets's calculate LCM of 281,6067
Given numbers has no common factors except 1. So, there LCM is their product i.e 1704827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704827
Therefore, the GCF of Fractions 3992/281,5051/6067 is 1/1704827
Least Common Multiple of 281,6067 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 281,6067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,6067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,6067) x common factors =1 x 1 = 1
LCM(281,6067) = ( 281 × 6067 ) / 1
LCM(281,6067) = 1704827 / 1
LCM(281,6067) = 1704827
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3992/281, 5051/6067
1. What is the HCF of 3992,5051?
The HCF of 3992,5051 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 3992/281, 5051/6067?
Answer: GCF of Numerators as per given numbers 3992/281, 5051/6067 is
GCF of Numerators i.e. for 3992,5051 is 1
LCM of denominators i.e. for 281,6067 is 1704827.
Thus, GCF of Fractions is 1/1704827.Finally, GCF of Fractions for 3992/281, 5051/6067 is 1/1704827.