GCF of 8301/514, 6870/9139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8301/514, 6870/9139 i.e 3/4697446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8301/514, 6870/9139.
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 8301/514,6870/9139?
Given fractions are 8301/514,6870/9139
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 8301/514,6870/9139, numerators are 8301,6870
Denominators are 514,9139
The GCF of 8301,6870 is 3 .
LCM of 514,9139 is 4697446.
The greatest common factor of 8301/514,6870/9139 = [GCF of 8301,6870]/[LCM of 514,9139]= 3/4697446
Therefore, the GCF of 8301/514,6870/9139 is 3/4697446.
To find the highest common factor of 8301,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 8301 are 1, 3, 2767, 8301
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 8301,6870 is 3.
Lets's calculate GCF of 8301,6870
| 3 | 8301, 6870 |
| 2767, 2290 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8301,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 8301
:1,3,2767,8301
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 8301,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 8301,6870 is 3.
Lets's calculate LCM of 514,9139
Given numbers has no common factors except 1. So, there LCM is their product i.e 4697446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4697446
Therefore, the GCF of Fractions 8301/514,6870/9139 is 3/4697446
Least Common Multiple of 514,9139 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 514,9139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,9139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,9139) x common factors =1 x 1 = 1
LCM(514,9139) = ( 514 × 9139 ) / 1
LCM(514,9139) = 4697446 / 1
LCM(514,9139) = 4697446
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FAQs on GCF of Fractions of 8301/514, 6870/9139
1. What is the HCF of 8301,6870?
The HCF of 8301,6870 is 3
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 8301/514, 6870/9139?
Answer: GCF of Numerators as per given numbers 8301/514, 6870/9139 is
GCF of Numerators i.e. for 8301,6870 is 3
LCM of denominators i.e. for 514,9139 is 4697446.
Thus, GCF of Fractions is 3/4697446.Finally, GCF of Fractions for 8301/514, 6870/9139 is 3/4697446.