GCF of 6142/339, 6873/7028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6142/339, 6873/7028 i.e 1/2382492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6142/339, 6873/7028.
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 6142/339,6873/7028?
Given fractions are 6142/339,6873/7028
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 6142/339,6873/7028, numerators are 6142,6873
Denominators are 339,7028
The GCF of 6142,6873 is 1 .
LCM of 339,7028 is 2382492.
The greatest common factor of 6142/339,6873/7028 = [GCF of 6142,6873]/[LCM of 339,7028]= 1/2382492
Therefore, the GCF of 6142/339,6873/7028 is 1/2382492.
To find the highest common factor of 6142,6873, we have to find the factors of both numbers and list the highest common factor.
The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142
The factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873
The HCF of 6142,6873 is 1.
Lets's calculate GCF of 6142,6873
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6142,6873 By Matching Biggest Common Factor Method
Now, list down the factors of 6142
:1,2,37,74,83,166,3071,6142
Now, list down the factors of 6873
:1,3,29,79,87,237,2291,6873
Greatest Common Factor
We found the factors 6142,6873 . The biggest common factor number is the GCF number.
So the greatest common factor 6142,6873 is 1.
Lets's calculate LCM of 339,7028
Given numbers has no common factors except 1. So, there LCM is their product i.e 2382492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2382492
Therefore, the GCF of Fractions 6142/339,6873/7028 is 1/2382492
Least Common Multiple of 339,7028 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 339,7028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,7028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,7028) x common factors =1 x 1 = 1
LCM(339,7028) = ( 339 × 7028 ) / 1
LCM(339,7028) = 2382492 / 1
LCM(339,7028) = 2382492
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FAQs on GCF of Fractions of 6142/339, 6873/7028
1. What is the HCF of 6142,6873?
The HCF of 6142,6873 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 6142/339, 6873/7028?
Answer: GCF of Numerators as per given numbers 6142/339, 6873/7028 is
GCF of Numerators i.e. for 6142,6873 is 1
LCM of denominators i.e. for 339,7028 is 2382492.
Thus, GCF of Fractions is 1/2382492.Finally, GCF of Fractions for 6142/339, 6873/7028 is 1/2382492.