GCF of 7711/804, 8065/8200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7711/804, 8065/8200 i.e 1/1648200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7711/804, 8065/8200.
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 7711/804,8065/8200?
Given fractions are 7711/804,8065/8200
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 7711/804,8065/8200, numerators are 7711,8065
Denominators are 804,8200
The GCF of 7711,8065 is 1 .
LCM of 804,8200 is 1648200.
The greatest common factor of 7711/804,8065/8200 = [GCF of 7711,8065]/[LCM of 804,8200]= 1/1648200
Therefore, the GCF of 7711/804,8065/8200 is 1/1648200.
To find the highest common factor of 7711,8065, we have to find the factors of both numbers and list the highest common factor.
The factors of 7711 are 1, 11, 701, 7711
The factors of 8065 are 1, 5, 1613, 8065
The HCF of 7711,8065 is 1.
Lets's calculate GCF of 7711,8065
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7711,8065 By Matching Biggest Common Factor Method
Now, list down the factors of 7711
:1,11,701,7711
Now, list down the factors of 8065
:1,5,1613,8065
Greatest Common Factor
We found the factors 7711,8065 . The biggest common factor number is the GCF number.
So the greatest common factor 7711,8065 is 1.
Lets's calculate LCM of 804,8200
| 2 | 804, 8200 |
| 2 | 402, 4100 |
| 201, 2050 |
∴ So the LCM of the given numbers is 2 x 2 x 201 x 2050 = 1648200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1648200
Therefore, the GCF of Fractions 7711/804,8065/8200 is 1/1648200
Least Common Multiple of 804,8200 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 804,8200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,8200) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(804,8200) x common factors =4 x 1 = 4
LCM(804,8200) = ( 804 × 8200 ) / 4
LCM(804,8200) = 6592800 / 4
LCM(804,8200) = 1648200
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FAQs on GCF of Fractions of 7711/804, 8065/8200
1. What is the HCF of 7711,8065?
The HCF of 7711,8065 is 1
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 7711/804, 8065/8200?
Answer: GCF of Numerators as per given numbers 7711/804, 8065/8200 is
GCF of Numerators i.e. for 7711,8065 is 1
LCM of denominators i.e. for 804,8200 is 1648200.
Thus, GCF of Fractions is 1/1648200.Finally, GCF of Fractions for 7711/804, 8065/8200 is 1/1648200.