GCF of 8099/927, 3479/2820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8099/927, 3479/2820 i.e 7/871380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8099/927, 3479/2820.
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 8099/927,3479/2820?
Given fractions are 8099/927,3479/2820
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 8099/927,3479/2820, numerators are 8099,3479
Denominators are 927,2820
The GCF of 8099,3479 is 7 .
LCM of 927,2820 is 871380.
The greatest common factor of 8099/927,3479/2820 = [GCF of 8099,3479]/[LCM of 927,2820]= 7/871380
Therefore, the GCF of 8099/927,3479/2820 is 7/871380.
To find the highest common factor of 8099,3479, we have to find the factors of both numbers and list the highest common factor.
The factors of 8099 are 1, 7, 13, 89, 91, 623, 1157, 8099
The factors of 3479 are 1, 7, 49, 71, 497, 3479
The HCF of 8099,3479 is 7.
Lets's calculate GCF of 8099,3479
| 7 | 8099, 3479 |
| 1157, 497 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8099,3479 By Matching Biggest Common Factor Method
Now, list down the factors of 8099
:1,7,13,89,91,623,1157,8099
Now, list down the factors of 3479
:1,7,49,71,497,3479
Greatest Common Factor
We found the factors 8099,3479 . The biggest common factor number is the GCF number.
So the greatest common factor 8099,3479 is 7.
Lets's calculate LCM of 927,2820
| 3 | 927, 2820 |
| 309, 940 |
∴ So the LCM of the given numbers is 3 x 309 x 940 = 871380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/871380
Therefore, the GCF of Fractions 8099/927,3479/2820 is 7/871380
Least Common Multiple of 927,2820 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 927,2820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,2820) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,2820) x common factors =3 x 1 = 3
LCM(927,2820) = ( 927 × 2820 ) / 3
LCM(927,2820) = 2614140 / 3
LCM(927,2820) = 871380
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FAQs on GCF of Fractions of 8099/927, 3479/2820
1. What is the HCF of 8099,3479?
The HCF of 8099,3479 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 8099/927, 3479/2820?
Answer: GCF of Numerators as per given numbers 8099/927, 3479/2820 is
GCF of Numerators i.e. for 8099,3479 is 7
LCM of denominators i.e. for 927,2820 is 871380.
Thus, GCF of Fractions is 7/871380.Finally, GCF of Fractions for 8099/927, 3479/2820 is 7/871380.