GCF of 2623/950, 8079/5492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2623/950, 8079/5492 i.e 1/2608700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2623/950, 8079/5492.
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 2623/950,8079/5492?
Given fractions are 2623/950,8079/5492
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 2623/950,8079/5492, numerators are 2623,8079
Denominators are 950,5492
The GCF of 2623,8079 is 1 .
LCM of 950,5492 is 2608700.
The greatest common factor of 2623/950,8079/5492 = [GCF of 2623,8079]/[LCM of 950,5492]= 1/2608700
Therefore, the GCF of 2623/950,8079/5492 is 1/2608700.
To find the highest common factor of 2623,8079, we have to find the factors of both numbers and list the highest common factor.
The factors of 2623 are 1, 43, 61, 2623
The factors of 8079 are 1, 3, 2693, 8079
The HCF of 2623,8079 is 1.
Lets's calculate GCF of 2623,8079
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2623,8079 By Matching Biggest Common Factor Method
Now, list down the factors of 2623
:1,43,61,2623
Now, list down the factors of 8079
:1,3,2693,8079
Greatest Common Factor
We found the factors 2623,8079 . The biggest common factor number is the GCF number.
So the greatest common factor 2623,8079 is 1.
Lets's calculate LCM of 950,5492
| 2 | 950, 5492 |
| 475, 2746 |
∴ So the LCM of the given numbers is 2 x 475 x 2746 = 2608700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2608700
Therefore, the GCF of Fractions 2623/950,8079/5492 is 1/2608700
Least Common Multiple of 950,5492 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 950,5492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,5492) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,5492) x common factors =2 x 1 = 2
LCM(950,5492) = ( 950 × 5492 ) / 2
LCM(950,5492) = 5217400 / 2
LCM(950,5492) = 2608700
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FAQs on GCF of Fractions of 2623/950, 8079/5492
1. What is the HCF of 2623,8079?
The HCF of 2623,8079 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 2623/950, 8079/5492?
Answer: GCF of Numerators as per given numbers 2623/950, 8079/5492 is
GCF of Numerators i.e. for 2623,8079 is 1
LCM of denominators i.e. for 950,5492 is 2608700.
Thus, GCF of Fractions is 1/2608700.Finally, GCF of Fractions for 2623/950, 8079/5492 is 1/2608700.