GCF of 8898/309, 7198/3409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8898/309, 7198/3409 i.e 2/1053381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8898/309, 7198/3409.
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 8898/309,7198/3409?
Given fractions are 8898/309,7198/3409
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 8898/309,7198/3409, numerators are 8898,7198
Denominators are 309,3409
The GCF of 8898,7198 is 2 .
LCM of 309,3409 is 1053381.
The greatest common factor of 8898/309,7198/3409 = [GCF of 8898,7198]/[LCM of 309,3409]= 2/1053381
Therefore, the GCF of 8898/309,7198/3409 is 2/1053381.
To find the highest common factor of 8898,7198, we have to find the factors of both numbers and list the highest common factor.
The factors of 8898 are 1, 2, 3, 6, 1483, 2966, 4449, 8898
The factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198
The HCF of 8898,7198 is 2.
Lets's calculate GCF of 8898,7198
| 2 | 8898, 7198 |
| 4449, 3599 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8898,7198 By Matching Biggest Common Factor Method
Now, list down the factors of 8898
:1,2,3,6,1483,2966,4449,8898
Now, list down the factors of 7198
:1,2,59,61,118,122,3599,7198
Greatest Common Factor
We found the factors 8898,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 8898,7198 is 2.
Lets's calculate LCM of 309,3409
Given numbers has no common factors except 1. So, there LCM is their product i.e 1053381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1053381
Therefore, the GCF of Fractions 8898/309,7198/3409 is 2/1053381
Least Common Multiple of 309,3409 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 309,3409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,3409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,3409) x common factors =1 x 1 = 1
LCM(309,3409) = ( 309 × 3409 ) / 1
LCM(309,3409) = 1053381 / 1
LCM(309,3409) = 1053381
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FAQs on GCF of Fractions of 8898/309, 7198/3409
1. What is the HCF of 8898,7198?
The HCF of 8898,7198 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 8898/309, 7198/3409?
Answer: GCF of Numerators as per given numbers 8898/309, 7198/3409 is
GCF of Numerators i.e. for 8898,7198 is 2
LCM of denominators i.e. for 309,3409 is 1053381.
Thus, GCF of Fractions is 2/1053381.Finally, GCF of Fractions for 8898/309, 7198/3409 is 2/1053381.