GCF of 6815/591, 7038/4396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6815/591, 7038/4396 i.e 1/2598036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6815/591, 7038/4396.
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 6815/591,7038/4396?
Given fractions are 6815/591,7038/4396
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 6815/591,7038/4396, numerators are 6815,7038
Denominators are 591,4396
The GCF of 6815,7038 is 1 .
LCM of 591,4396 is 2598036.
The greatest common factor of 6815/591,7038/4396 = [GCF of 6815,7038]/[LCM of 591,4396]= 1/2598036
Therefore, the GCF of 6815/591,7038/4396 is 1/2598036.
To find the highest common factor of 6815,7038, we have to find the factors of both numbers and list the highest common factor.
The factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815
The factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
The HCF of 6815,7038 is 1.
Lets's calculate GCF of 6815,7038
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6815,7038 By Matching Biggest Common Factor Method
Now, list down the factors of 6815
:1,5,29,47,145,235,1363,6815
Now, list down the factors of 7038
:1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 6815,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 6815,7038 is 1.
Lets's calculate LCM of 591,4396
Given numbers has no common factors except 1. So, there LCM is their product i.e 2598036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2598036
Therefore, the GCF of Fractions 6815/591,7038/4396 is 1/2598036
Least Common Multiple of 591,4396 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 591,4396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,4396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(591,4396) x common factors =1 x 1 = 1
LCM(591,4396) = ( 591 × 4396 ) / 1
LCM(591,4396) = 2598036 / 1
LCM(591,4396) = 2598036
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FAQs on GCF of Fractions of 6815/591, 7038/4396
1. What is the HCF of 6815,7038?
The HCF of 6815,7038 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 6815/591, 7038/4396?
Answer: GCF of Numerators as per given numbers 6815/591, 7038/4396 is
GCF of Numerators i.e. for 6815,7038 is 1
LCM of denominators i.e. for 591,4396 is 2598036.
Thus, GCF of Fractions is 1/2598036.Finally, GCF of Fractions for 6815/591, 7038/4396 is 1/2598036.