GCF of 5255/804, 6870/2057
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5255/804, 6870/2057 i.e 5/1653828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5255/804, 6870/2057.
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 5255/804,6870/2057?
Given fractions are 5255/804,6870/2057
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 5255/804,6870/2057, numerators are 5255,6870
Denominators are 804,2057
The GCF of 5255,6870 is 5 .
LCM of 804,2057 is 1653828.
The greatest common factor of 5255/804,6870/2057 = [GCF of 5255,6870]/[LCM of 804,2057]= 5/1653828
Therefore, the GCF of 5255/804,6870/2057 is 5/1653828.
To find the highest common factor of 5255,6870, we have to find the factors of both numbers and list the highest common factor.
The factors of 5255 are 1, 5, 1051, 5255
The factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870
The HCF of 5255,6870 is 5.
Lets's calculate GCF of 5255,6870
| 5 | 5255, 6870 |
| 1051, 1374 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5255,6870 By Matching Biggest Common Factor Method
Now, list down the factors of 5255
:1,5,1051,5255
Now, list down the factors of 6870
:1,2,3,5,6,10,15,30,229,458,687,1145,1374,2290,3435,6870
Greatest Common Factor
We found the factors 5255,6870 . The biggest common factor number is the GCF number.
So the greatest common factor 5255,6870 is 5.
Lets's calculate LCM of 804,2057
Given numbers has no common factors except 1. So, there LCM is their product i.e 1653828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1653828
Therefore, the GCF of Fractions 5255/804,6870/2057 is 5/1653828
Least Common Multiple of 804,2057 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 804,2057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,2057) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,2057) x common factors =1 x 1 = 1
LCM(804,2057) = ( 804 × 2057 ) / 1
LCM(804,2057) = 1653828 / 1
LCM(804,2057) = 1653828
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FAQs on GCF of Fractions of 5255/804, 6870/2057
1. What is the HCF of 5255,6870?
The HCF of 5255,6870 is 5
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 5255/804, 6870/2057?
Answer: GCF of Numerators as per given numbers 5255/804, 6870/2057 is
GCF of Numerators i.e. for 5255,6870 is 5
LCM of denominators i.e. for 804,2057 is 1653828.
Thus, GCF of Fractions is 5/1653828.Finally, GCF of Fractions for 5255/804, 6870/2057 is 5/1653828.