GCF of 2579/368, 2160/6939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2579/368, 2160/6939 i.e 1/2553552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2579/368, 2160/6939.
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 2579/368,2160/6939?
Given fractions are 2579/368,2160/6939
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 2579/368,2160/6939, numerators are 2579,2160
Denominators are 368,6939
The GCF of 2579,2160 is 1 .
LCM of 368,6939 is 2553552.
The greatest common factor of 2579/368,2160/6939 = [GCF of 2579,2160]/[LCM of 368,6939]= 1/2553552
Therefore, the GCF of 2579/368,2160/6939 is 1/2553552.
To find the highest common factor of 2579,2160, 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 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160
The HCF of 2579,2160 is 1.
Lets's calculate GCF of 2579,2160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2579,2160 By Matching Biggest Common Factor Method
Now, list down the factors of 2579
:1,2579
Now, list down the factors of 2160
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 2579,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 2579,2160 is 1.
Lets's calculate LCM of 368,6939
Given numbers has no common factors except 1. So, there LCM is their product i.e 2553552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2553552
Therefore, the GCF of Fractions 2579/368,2160/6939 is 1/2553552
Least Common Multiple of 368,6939 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 368,6939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,6939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,6939) x common factors =1 x 1 = 1
LCM(368,6939) = ( 368 × 6939 ) / 1
LCM(368,6939) = 2553552 / 1
LCM(368,6939) = 2553552
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FAQs on GCF of Fractions of 2579/368, 2160/6939
1. What is the HCF of 2579,2160?
The HCF of 2579,2160 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 2579/368, 2160/6939?
Answer: GCF of Numerators as per given numbers 2579/368, 2160/6939 is
GCF of Numerators i.e. for 2579,2160 is 1
LCM of denominators i.e. for 368,6939 is 2553552.
Thus, GCF of Fractions is 1/2553552.Finally, GCF of Fractions for 2579/368, 2160/6939 is 1/2553552.