GCF of 4843/687, 6142/3424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4843/687, 6142/3424 i.e 1/2352288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4843/687, 6142/3424.
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 4843/687,6142/3424?
Given fractions are 4843/687,6142/3424
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 4843/687,6142/3424, numerators are 4843,6142
Denominators are 687,3424
The GCF of 4843,6142 is 1 .
LCM of 687,3424 is 2352288.
The greatest common factor of 4843/687,6142/3424 = [GCF of 4843,6142]/[LCM of 687,3424]= 1/2352288
Therefore, the GCF of 4843/687,6142/3424 is 1/2352288.
To find the highest common factor of 4843,6142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4843 are 1, 29, 167, 4843
The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142
The HCF of 4843,6142 is 1.
Lets's calculate GCF of 4843,6142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4843,6142 By Matching Biggest Common Factor Method
Now, list down the factors of 4843
:1,29,167,4843
Now, list down the factors of 6142
:1,2,37,74,83,166,3071,6142
Greatest Common Factor
We found the factors 4843,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 4843,6142 is 1.
Lets's calculate LCM of 687,3424
Given numbers has no common factors except 1. So, there LCM is their product i.e 2352288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2352288
Therefore, the GCF of Fractions 4843/687,6142/3424 is 1/2352288
Least Common Multiple of 687,3424 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 687,3424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,3424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,3424) x common factors =1 x 1 = 1
LCM(687,3424) = ( 687 × 3424 ) / 1
LCM(687,3424) = 2352288 / 1
LCM(687,3424) = 2352288
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FAQs on GCF of Fractions of 4843/687, 6142/3424
1. What is the HCF of 4843,6142?
The HCF of 4843,6142 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 4843/687, 6142/3424?
Answer: GCF of Numerators as per given numbers 4843/687, 6142/3424 is
GCF of Numerators i.e. for 4843,6142 is 1
LCM of denominators i.e. for 687,3424 is 2352288.
Thus, GCF of Fractions is 1/2352288.Finally, GCF of Fractions for 4843/687, 6142/3424 is 1/2352288.