GCF of 8414/130, 2600/4761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8414/130, 2600/4761 i.e 2/618930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8414/130, 2600/4761.
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 8414/130,2600/4761?
Given fractions are 8414/130,2600/4761
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 8414/130,2600/4761, numerators are 8414,2600
Denominators are 130,4761
The GCF of 8414,2600 is 2 .
LCM of 130,4761 is 618930.
The greatest common factor of 8414/130,2600/4761 = [GCF of 8414,2600]/[LCM of 130,4761]= 2/618930
Therefore, the GCF of 8414/130,2600/4761 is 2/618930.
To find the highest common factor of 8414,2600, we have to find the factors of both numbers and list the highest common factor.
The factors of 8414 are 1, 2, 7, 14, 601, 1202, 4207, 8414
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 HCF of 8414,2600 is 2.
Lets's calculate GCF of 8414,2600
| 2 | 8414, 2600 |
| 4207, 1300 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8414,2600 By Matching Biggest Common Factor Method
Now, list down the factors of 8414
:1,2,7,14,601,1202,4207,8414
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
Greatest Common Factor
We found the factors 8414,2600 . The biggest common factor number is the GCF number.
So the greatest common factor 8414,2600 is 2.
Lets's calculate LCM of 130,4761
Given numbers has no common factors except 1. So, there LCM is their product i.e 618930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/618930
Therefore, the GCF of Fractions 8414/130,2600/4761 is 2/618930
Least Common Multiple of 130,4761 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 130,4761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,4761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,4761) x common factors =1 x 1 = 1
LCM(130,4761) = ( 130 × 4761 ) / 1
LCM(130,4761) = 618930 / 1
LCM(130,4761) = 618930
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FAQs on GCF of Fractions of 8414/130, 2600/4761
1. What is the HCF of 8414,2600?
The HCF of 8414,2600 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 8414/130, 2600/4761?
Answer: GCF of Numerators as per given numbers 8414/130, 2600/4761 is
GCF of Numerators i.e. for 8414,2600 is 2
LCM of denominators i.e. for 130,4761 is 618930.
Thus, GCF of Fractions is 2/618930.Finally, GCF of Fractions for 8414/130, 2600/4761 is 2/618930.