GCF of 2600/679, 6514/9398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2600/679, 6514/9398 i.e 2/6381242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2600/679, 6514/9398.
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 2600/679,6514/9398?
Given fractions are 2600/679,6514/9398
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 2600/679,6514/9398, numerators are 2600,6514
Denominators are 679,9398
The GCF of 2600,6514 is 2 .
LCM of 679,9398 is 6381242.
The greatest common factor of 2600/679,6514/9398 = [GCF of 2600,6514]/[LCM of 679,9398]= 2/6381242
Therefore, the GCF of 2600/679,6514/9398 is 2/6381242.
To find the highest common factor of 2600,6514, we have to find the factors of both numbers and list the highest common factor.
The factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600
The factors of 6514 are 1, 2, 3257, 6514
The HCF of 2600,6514 is 2.
Lets's calculate GCF of 2600,6514
| 2 | 2600, 6514 |
| 1300, 3257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2600,6514 By Matching Biggest Common Factor Method
Now, list down the factors of 2600
:1,2,4,5,8,10,13,20,25,26,40,50,52,65,100,104,130,200,260,325,520,650,1300,2600
Now, list down the factors of 6514
:1,2,3257,6514
Greatest Common Factor
We found the factors 2600,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 2600,6514 is 2.
Lets's calculate LCM of 679,9398
Given numbers has no common factors except 1. So, there LCM is their product i.e 6381242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6381242
Therefore, the GCF of Fractions 2600/679,6514/9398 is 2/6381242
Least Common Multiple of 679,9398 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 679,9398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,9398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,9398) x common factors =1 x 1 = 1
LCM(679,9398) = ( 679 × 9398 ) / 1
LCM(679,9398) = 6381242 / 1
LCM(679,9398) = 6381242
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FAQs on GCF of Fractions of 2600/679, 6514/9398
1. What is the HCF of 2600,6514?
The HCF of 2600,6514 is 2
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 2600/679, 6514/9398?
Answer: GCF of Numerators as per given numbers 2600/679, 6514/9398 is
GCF of Numerators i.e. for 2600,6514 is 2
LCM of denominators i.e. for 679,9398 is 6381242.
Thus, GCF of Fractions is 2/6381242.Finally, GCF of Fractions for 2600/679, 6514/9398 is 2/6381242.