GCF of 3164/608, 5298/902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3164/608, 5298/902 i.e 2/274208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3164/608, 5298/902.
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 3164/608,5298/902?
Given fractions are 3164/608,5298/902
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 3164/608,5298/902, numerators are 3164,5298
Denominators are 608,902
The GCF of 3164,5298 is 2 .
LCM of 608,902 is 274208.
The greatest common factor of 3164/608,5298/902 = [GCF of 3164,5298]/[LCM of 608,902]= 2/274208
Therefore, the GCF of 3164/608,5298/902 is 2/274208.
To find the highest common factor of 3164,5298, we have to find the factors of both numbers and list the highest common factor.
The factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164
The factors of 5298 are 1, 2, 3, 6, 883, 1766, 2649, 5298
The HCF of 3164,5298 is 2.
Lets's calculate GCF of 3164,5298
| 2 | 3164, 5298 |
| 1582, 2649 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3164,5298 By Matching Biggest Common Factor Method
Now, list down the factors of 3164
:1,2,4,7,14,28,113,226,452,791,1582,3164
Now, list down the factors of 5298
:1,2,3,6,883,1766,2649,5298
Greatest Common Factor
We found the factors 3164,5298 . The biggest common factor number is the GCF number.
So the greatest common factor 3164,5298 is 2.
Lets's calculate LCM of 608,902
| 2 | 608, 902 |
| 304, 451 |
∴ So the LCM of the given numbers is 2 x 304 x 451 = 274208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/274208
Therefore, the GCF of Fractions 3164/608,5298/902 is 2/274208
Least Common Multiple of 608,902 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 608,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(608,902) x common factors =2 x 1 = 2
LCM(608,902) = ( 608 × 902 ) / 2
LCM(608,902) = 548416 / 2
LCM(608,902) = 274208
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FAQs on GCF of Fractions of 3164/608, 5298/902
1. What is the HCF of 3164,5298?
The HCF of 3164,5298 is 2
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 3164/608, 5298/902?
Answer: GCF of Numerators as per given numbers 3164/608, 5298/902 is
GCF of Numerators i.e. for 3164,5298 is 2
LCM of denominators i.e. for 608,902 is 274208.
Thus, GCF of Fractions is 2/274208.Finally, GCF of Fractions for 3164/608, 5298/902 is 2/274208.