GCF of 6890/831, 8702/6474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6890/831, 8702/6474 i.e 2/1793298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6890/831, 8702/6474.
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 6890/831,8702/6474?
Given fractions are 6890/831,8702/6474
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 6890/831,8702/6474, numerators are 6890,8702
Denominators are 831,6474
The GCF of 6890,8702 is 2 .
LCM of 831,6474 is 1793298.
The greatest common factor of 6890/831,8702/6474 = [GCF of 6890,8702]/[LCM of 831,6474]= 2/1793298
Therefore, the GCF of 6890/831,8702/6474 is 2/1793298.
To find the highest common factor of 6890,8702, we have to find the factors of both numbers and list the highest common factor.
The factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890
The factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702
The HCF of 6890,8702 is 2.
Lets's calculate GCF of 6890,8702
| 2 | 6890, 8702 |
| 3445, 4351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6890,8702 By Matching Biggest Common Factor Method
Now, list down the factors of 6890
:1,2,5,10,13,26,53,65,106,130,265,530,689,1378,3445,6890
Now, list down the factors of 8702
:1,2,19,38,229,458,4351,8702
Greatest Common Factor
We found the factors 6890,8702 . The biggest common factor number is the GCF number.
So the greatest common factor 6890,8702 is 2.
Lets's calculate LCM of 831,6474
| 3 | 831, 6474 |
| 277, 2158 |
∴ So the LCM of the given numbers is 3 x 277 x 2158 = 1793298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1793298
Therefore, the GCF of Fractions 6890/831,8702/6474 is 2/1793298
Least Common Multiple of 831,6474 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 831,6474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,6474) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,6474) x common factors =3 x 1 = 3
LCM(831,6474) = ( 831 × 6474 ) / 3
LCM(831,6474) = 5379894 / 3
LCM(831,6474) = 1793298
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FAQs on GCF of Fractions of 6890/831, 8702/6474
1. What is the HCF of 6890,8702?
The HCF of 6890,8702 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 6890/831, 8702/6474?
Answer: GCF of Numerators as per given numbers 6890/831, 8702/6474 is
GCF of Numerators i.e. for 6890,8702 is 2
LCM of denominators i.e. for 831,6474 is 1793298.
Thus, GCF of Fractions is 2/1793298.Finally, GCF of Fractions for 6890/831, 8702/6474 is 2/1793298.