GCF of 6305/372, 8972/8539
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6305/372, 8972/8539 i.e 1/3176508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6305/372, 8972/8539.
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 6305/372,8972/8539?
Given fractions are 6305/372,8972/8539
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 6305/372,8972/8539, numerators are 6305,8972
Denominators are 372,8539
The GCF of 6305,8972 is 1 .
LCM of 372,8539 is 3176508.
The greatest common factor of 6305/372,8972/8539 = [GCF of 6305,8972]/[LCM of 372,8539]= 1/3176508
Therefore, the GCF of 6305/372,8972/8539 is 1/3176508.
To find the highest common factor of 6305,8972, we have to find the factors of both numbers and list the highest common factor.
The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305
The factors of 8972 are 1, 2, 4, 2243, 4486, 8972
The HCF of 6305,8972 is 1.
Lets's calculate GCF of 6305,8972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6305,8972 By Matching Biggest Common Factor Method
Now, list down the factors of 6305
:1,5,13,65,97,485,1261,6305
Now, list down the factors of 8972
:1,2,4,2243,4486,8972
Greatest Common Factor
We found the factors 6305,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,8972 is 1.
Lets's calculate LCM of 372,8539
Given numbers has no common factors except 1. So, there LCM is their product i.e 3176508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3176508
Therefore, the GCF of Fractions 6305/372,8972/8539 is 1/3176508
Least Common Multiple of 372,8539 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 372,8539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,8539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,8539) x common factors =1 x 1 = 1
LCM(372,8539) = ( 372 × 8539 ) / 1
LCM(372,8539) = 3176508 / 1
LCM(372,8539) = 3176508
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FAQs on GCF of Fractions of 6305/372, 8972/8539
1. What is the HCF of 6305,8972?
The HCF of 6305,8972 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 6305/372, 8972/8539?
Answer: GCF of Numerators as per given numbers 6305/372, 8972/8539 is
GCF of Numerators i.e. for 6305,8972 is 1
LCM of denominators i.e. for 372,8539 is 3176508.
Thus, GCF of Fractions is 1/3176508.Finally, GCF of Fractions for 6305/372, 8972/8539 is 1/3176508.