GCF of 6237/863, 7130/8079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6237/863, 7130/8079 i.e 1/6972177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6237/863, 7130/8079.
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 6237/863,7130/8079?
Given fractions are 6237/863,7130/8079
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 6237/863,7130/8079, numerators are 6237,7130
Denominators are 863,8079
The GCF of 6237,7130 is 1 .
LCM of 863,8079 is 6972177.
The greatest common factor of 6237/863,7130/8079 = [GCF of 6237,7130]/[LCM of 863,8079]= 1/6972177
Therefore, the GCF of 6237/863,7130/8079 is 1/6972177.
To find the highest common factor of 6237,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 6237,7130 is 1.
Lets's calculate GCF of 6237,7130
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6237,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 6237
:1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 6237,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 6237,7130 is 1.
Lets's calculate LCM of 863,8079
Given numbers has no common factors except 1. So, there LCM is their product i.e 6972177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6972177
Therefore, the GCF of Fractions 6237/863,7130/8079 is 1/6972177
Least Common Multiple of 863,8079 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 863,8079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,8079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,8079) x common factors =1 x 1 = 1
LCM(863,8079) = ( 863 × 8079 ) / 1
LCM(863,8079) = 6972177 / 1
LCM(863,8079) = 6972177
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FAQs on GCF of Fractions of 6237/863, 7130/8079
1. What is the HCF of 6237,7130?
The HCF of 6237,7130 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 6237/863, 7130/8079?
Answer: GCF of Numerators as per given numbers 6237/863, 7130/8079 is
GCF of Numerators i.e. for 6237,7130 is 1
LCM of denominators i.e. for 863,8079 is 6972177.
Thus, GCF of Fractions is 1/6972177.Finally, GCF of Fractions for 6237/863, 7130/8079 is 1/6972177.