GCF of 4057/698, 7030/8433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4057/698, 7030/8433 i.e 1/5886234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4057/698, 7030/8433.
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 4057/698,7030/8433?
Given fractions are 4057/698,7030/8433
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 4057/698,7030/8433, numerators are 4057,7030
Denominators are 698,8433
The GCF of 4057,7030 is 1 .
LCM of 698,8433 is 5886234.
The greatest common factor of 4057/698,7030/8433 = [GCF of 4057,7030]/[LCM of 698,8433]= 1/5886234
Therefore, the GCF of 4057/698,7030/8433 is 1/5886234.
To find the highest common factor of 4057,7030, we have to find the factors of both numbers and list the highest common factor.
The factors of 4057 are 1, 4057
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The HCF of 4057,7030 is 1.
Lets's calculate GCF of 4057,7030
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4057,7030 By Matching Biggest Common Factor Method
Now, list down the factors of 4057
:1,4057
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Greatest Common Factor
We found the factors 4057,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 4057,7030 is 1.
Lets's calculate LCM of 698,8433
Given numbers has no common factors except 1. So, there LCM is their product i.e 5886234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5886234
Therefore, the GCF of Fractions 4057/698,7030/8433 is 1/5886234
Least Common Multiple of 698,8433 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 698,8433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,8433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(698,8433) x common factors =1 x 1 = 1
LCM(698,8433) = ( 698 × 8433 ) / 1
LCM(698,8433) = 5886234 / 1
LCM(698,8433) = 5886234
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4057/698, 7030/8433
1. What is the HCF of 4057,7030?
The HCF of 4057,7030 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 4057/698, 7030/8433?
Answer: GCF of Numerators as per given numbers 4057/698, 7030/8433 is
GCF of Numerators i.e. for 4057,7030 is 1
LCM of denominators i.e. for 698,8433 is 5886234.
Thus, GCF of Fractions is 1/5886234.Finally, GCF of Fractions for 4057/698, 7030/8433 is 1/5886234.