GCF of 2579/107, 2880/7324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2579/107, 2880/7324 i.e 1/783668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2579/107, 2880/7324.
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 2579/107,2880/7324?
Given fractions are 2579/107,2880/7324
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 2579/107,2880/7324, numerators are 2579,2880
Denominators are 107,7324
The GCF of 2579,2880 is 1 .
LCM of 107,7324 is 783668.
The greatest common factor of 2579/107,2880/7324 = [GCF of 2579,2880]/[LCM of 107,7324]= 1/783668
Therefore, the GCF of 2579/107,2880/7324 is 1/783668.
To find the highest common factor of 2579,2880, 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 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880
The HCF of 2579,2880 is 1.
Lets's calculate GCF of 2579,2880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2579,2880 By Matching Biggest Common Factor Method
Now, list down the factors of 2579
:1,2579
Now, list down the factors of 2880
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,144,160,180,192,240,288,320,360,480,576,720,960,1440,2880
Greatest Common Factor
We found the factors 2579,2880 . The biggest common factor number is the GCF number.
So the greatest common factor 2579,2880 is 1.
Lets's calculate LCM of 107,7324
Given numbers has no common factors except 1. So, there LCM is their product i.e 783668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783668
Therefore, the GCF of Fractions 2579/107,2880/7324 is 1/783668
Least Common Multiple of 107,7324 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 107,7324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,7324) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,7324) x common factors =1 x 1 = 1
LCM(107,7324) = ( 107 × 7324 ) / 1
LCM(107,7324) = 783668 / 1
LCM(107,7324) = 783668
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FAQs on GCF of Fractions of 2579/107, 2880/7324
1. What is the HCF of 2579,2880?
The HCF of 2579,2880 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 2579/107, 2880/7324?
Answer: GCF of Numerators as per given numbers 2579/107, 2880/7324 is
GCF of Numerators i.e. for 2579,2880 is 1
LCM of denominators i.e. for 107,7324 is 783668.
Thus, GCF of Fractions is 1/783668.Finally, GCF of Fractions for 2579/107, 2880/7324 is 1/783668.