GCF of 6802/666, 9812/261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6802/666, 9812/261 i.e 2/19314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6802/666, 9812/261.
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 6802/666,9812/261?
Given fractions are 6802/666,9812/261
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 6802/666,9812/261, numerators are 6802,9812
Denominators are 666,261
The GCF of 6802,9812 is 2 .
LCM of 666,261 is 19314.
The greatest common factor of 6802/666,9812/261 = [GCF of 6802,9812]/[LCM of 666,261]= 2/19314
Therefore, the GCF of 6802/666,9812/261 is 2/19314.
To find the highest common factor of 6802,9812, we have to find the factors of both numbers and list the highest common factor.
The factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802
The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The HCF of 6802,9812 is 2.
Lets's calculate GCF of 6802,9812
| 2 | 6802, 9812 |
| 3401, 4906 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6802,9812 By Matching Biggest Common Factor Method
Now, list down the factors of 6802
:1,2,19,38,179,358,3401,6802
Now, list down the factors of 9812
:1,2,4,11,22,44,223,446,892,2453,4906,9812
Greatest Common Factor
We found the factors 6802,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 6802,9812 is 2.
Lets's calculate LCM of 666,261
| 3 | 666, 261 |
| 3 | 222, 87 |
| 74, 29 |
∴ So the LCM of the given numbers is 3 x 3 x 74 x 29 = 19314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19314
Therefore, the GCF of Fractions 6802/666,9812/261 is 2/19314
Least Common Multiple of 666,261 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 666,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(666,261) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(666,261) x common factors =9 x 1 = 9
LCM(666,261) = ( 666 × 261 ) / 9
LCM(666,261) = 173826 / 9
LCM(666,261) = 19314
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FAQs on GCF of Fractions of 6802/666, 9812/261
1. What is the HCF of 6802,9812?
The HCF of 6802,9812 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 6802/666, 9812/261?
Answer: GCF of Numerators as per given numbers 6802/666, 9812/261 is
GCF of Numerators i.e. for 6802,9812 is 2
LCM of denominators i.e. for 666,261 is 19314.
Thus, GCF of Fractions is 2/19314.Finally, GCF of Fractions for 6802/666, 9812/261 is 2/19314.