GCF of 2579/214, 9305/8207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2579/214, 9305/8207 i.e 1/1756298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2579/214, 9305/8207.
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 2579/214,9305/8207?
Given fractions are 2579/214,9305/8207
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 2579/214,9305/8207, numerators are 2579,9305
Denominators are 214,8207
The GCF of 2579,9305 is 1 .
LCM of 214,8207 is 1756298.
The greatest common factor of 2579/214,9305/8207 = [GCF of 2579,9305]/[LCM of 214,8207]= 1/1756298
Therefore, the GCF of 2579/214,9305/8207 is 1/1756298.
To find the highest common factor of 2579,9305, we have to find the factors of both numbers and list the highest common factor.
The factors of 2579 are 1, 2579
The factors of 9305 are 1, 5, 1861, 9305
The HCF of 2579,9305 is 1.
Lets's calculate GCF of 2579,9305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2579,9305 By Matching Biggest Common Factor Method
Now, list down the factors of 2579
:1,2579
Now, list down the factors of 9305
:1,5,1861,9305
Greatest Common Factor
We found the factors 2579,9305 . The biggest common factor number is the GCF number.
So the greatest common factor 2579,9305 is 1.
Lets's calculate LCM of 214,8207
Given numbers has no common factors except 1. So, there LCM is their product i.e 1756298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1756298
Therefore, the GCF of Fractions 2579/214,9305/8207 is 1/1756298
Least Common Multiple of 214,8207 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 214,8207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,8207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,8207) x common factors =1 x 1 = 1
LCM(214,8207) = ( 214 × 8207 ) / 1
LCM(214,8207) = 1756298 / 1
LCM(214,8207) = 1756298
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FAQs on GCF of Fractions of 2579/214, 9305/8207
1. What is the HCF of 2579,9305?
The HCF of 2579,9305 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 2579/214, 9305/8207?
Answer: GCF of Numerators as per given numbers 2579/214, 9305/8207 is
GCF of Numerators i.e. for 2579,9305 is 1
LCM of denominators i.e. for 214,8207 is 1756298.
Thus, GCF of Fractions is 1/1756298.Finally, GCF of Fractions for 2579/214, 9305/8207 is 1/1756298.