GCF of 8979/804, 7469/2010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8979/804, 7469/2010 i.e 1/4020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8979/804, 7469/2010.
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 8979/804,7469/2010?
Given fractions are 8979/804,7469/2010
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 8979/804,7469/2010, numerators are 8979,7469
Denominators are 804,2010
The GCF of 8979,7469 is 1 .
LCM of 804,2010 is 4020.
The greatest common factor of 8979/804,7469/2010 = [GCF of 8979,7469]/[LCM of 804,2010]= 1/4020
Therefore, the GCF of 8979/804,7469/2010 is 1/4020.
To find the highest common factor of 8979,7469, we have to find the factors of both numbers and list the highest common factor.
The factors of 8979 are 1, 3, 41, 73, 123, 219, 2993, 8979
The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The HCF of 8979,7469 is 1.
Lets's calculate GCF of 8979,7469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8979,7469 By Matching Biggest Common Factor Method
Now, list down the factors of 8979
:1,3,41,73,123,219,2993,8979
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Greatest Common Factor
We found the factors 8979,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 8979,7469 is 1.
Lets's calculate LCM of 804,2010
| 2 | 804, 2010 |
| 3 | 402, 1005 |
| 67 | 134, 335 |
| 2, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 2 x 5 = 4020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4020
Therefore, the GCF of Fractions 8979/804,7469/2010 is 1/4020
Least Common Multiple of 804,2010 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 804,2010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,2010) = 402
common factors(in case of two or more numbers have common factors) = 1
GCF(804,2010) x common factors =402 x 1 = 402
LCM(804,2010) = ( 804 × 2010 ) / 402
LCM(804,2010) = 1616040 / 402
LCM(804,2010) = 4020
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FAQs on GCF of Fractions of 8979/804, 7469/2010
1. What is the HCF of 8979,7469?
The HCF of 8979,7469 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 8979/804, 7469/2010?
Answer: GCF of Numerators as per given numbers 8979/804, 7469/2010 is
GCF of Numerators i.e. for 8979,7469 is 1
LCM of denominators i.e. for 804,2010 is 4020.
Thus, GCF of Fractions is 1/4020.Finally, GCF of Fractions for 8979/804, 7469/2010 is 1/4020.