GCF of 3122/204, 6811/1261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3122/204, 6811/1261 i.e 7/257244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3122/204, 6811/1261.
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 3122/204,6811/1261?
Given fractions are 3122/204,6811/1261
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 3122/204,6811/1261, numerators are 3122,6811
Denominators are 204,1261
The GCF of 3122,6811 is 7 .
LCM of 204,1261 is 257244.
The greatest common factor of 3122/204,6811/1261 = [GCF of 3122,6811]/[LCM of 204,1261]= 7/257244
Therefore, the GCF of 3122/204,6811/1261 is 7/257244.
To find the highest common factor of 3122,6811, we have to find the factors of both numbers and list the highest common factor.
The factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122
The factors of 6811 are 1, 7, 49, 139, 973, 6811
The HCF of 3122,6811 is 7.
Lets's calculate GCF of 3122,6811
| 7 | 3122, 6811 |
| 446, 973 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3122,6811 By Matching Biggest Common Factor Method
Now, list down the factors of 3122
:1,2,7,14,223,446,1561,3122
Now, list down the factors of 6811
:1,7,49,139,973,6811
Greatest Common Factor
We found the factors 3122,6811 . The biggest common factor number is the GCF number.
So the greatest common factor 3122,6811 is 7.
Lets's calculate LCM of 204,1261
Given numbers has no common factors except 1. So, there LCM is their product i.e 257244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/257244
Therefore, the GCF of Fractions 3122/204,6811/1261 is 7/257244
Least Common Multiple of 204,1261 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 204,1261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,1261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,1261) x common factors =1 x 1 = 1
LCM(204,1261) = ( 204 × 1261 ) / 1
LCM(204,1261) = 257244 / 1
LCM(204,1261) = 257244
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FAQs on GCF of Fractions of 3122/204, 6811/1261
1. What is the HCF of 3122,6811?
The HCF of 3122,6811 is 7
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 3122/204, 6811/1261?
Answer: GCF of Numerators as per given numbers 3122/204, 6811/1261 is
GCF of Numerators i.e. for 3122,6811 is 7
LCM of denominators i.e. for 204,1261 is 257244.
Thus, GCF of Fractions is 7/257244.Finally, GCF of Fractions for 3122/204, 6811/1261 is 7/257244.