GCF of 6340/130, 2898/7665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6340/130, 2898/7665 i.e 2/199290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6340/130, 2898/7665.
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 6340/130,2898/7665?
Given fractions are 6340/130,2898/7665
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 6340/130,2898/7665, numerators are 6340,2898
Denominators are 130,7665
The GCF of 6340,2898 is 2 .
LCM of 130,7665 is 199290.
The greatest common factor of 6340/130,2898/7665 = [GCF of 6340,2898]/[LCM of 130,7665]= 2/199290
Therefore, the GCF of 6340/130,2898/7665 is 2/199290.
To find the highest common factor of 6340,2898, we have to find the factors of both numbers and list the highest common factor.
The factors of 6340 are 1, 2, 4, 5, 10, 20, 317, 634, 1268, 1585, 3170, 6340
The factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
The HCF of 6340,2898 is 2.
Lets's calculate GCF of 6340,2898
| 2 | 6340, 2898 |
| 3170, 1449 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6340,2898 By Matching Biggest Common Factor Method
Now, list down the factors of 6340
:1,2,4,5,10,20,317,634,1268,1585,3170,6340
Now, list down the factors of 2898
:1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Greatest Common Factor
We found the factors 6340,2898 . The biggest common factor number is the GCF number.
So the greatest common factor 6340,2898 is 2.
Lets's calculate LCM of 130,7665
| 5 | 130, 7665 |
| 26, 1533 |
∴ So the LCM of the given numbers is 5 x 26 x 1533 = 199290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199290
Therefore, the GCF of Fractions 6340/130,2898/7665 is 2/199290
Least Common Multiple of 130,7665 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 130,7665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,7665) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(130,7665) x common factors =5 x 1 = 5
LCM(130,7665) = ( 130 × 7665 ) / 5
LCM(130,7665) = 996450 / 5
LCM(130,7665) = 199290
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FAQs on GCF of Fractions of 6340/130, 2898/7665
1. What is the HCF of 6340,2898?
The HCF of 6340,2898 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 6340/130, 2898/7665?
Answer: GCF of Numerators as per given numbers 6340/130, 2898/7665 is
GCF of Numerators i.e. for 6340,2898 is 2
LCM of denominators i.e. for 130,7665 is 199290.
Thus, GCF of Fractions is 2/199290.Finally, GCF of Fractions for 6340/130, 2898/7665 is 2/199290.