GCF of 7988/306, 1338/6869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7988/306, 1338/6869 i.e 2/2101914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7988/306, 1338/6869.
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 7988/306,1338/6869?
Given fractions are 7988/306,1338/6869
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 7988/306,1338/6869, numerators are 7988,1338
Denominators are 306,6869
The GCF of 7988,1338 is 2 .
LCM of 306,6869 is 2101914.
The greatest common factor of 7988/306,1338/6869 = [GCF of 7988,1338]/[LCM of 306,6869]= 2/2101914
Therefore, the GCF of 7988/306,1338/6869 is 2/2101914.
To find the highest common factor of 7988,1338, we have to find the factors of both numbers and list the highest common factor.
The factors of 7988 are 1, 2, 4, 1997, 3994, 7988
The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338
The HCF of 7988,1338 is 2.
Lets's calculate GCF of 7988,1338
| 2 | 7988, 1338 |
| 3994, 669 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7988,1338 By Matching Biggest Common Factor Method
Now, list down the factors of 7988
:1,2,4,1997,3994,7988
Now, list down the factors of 1338
:1,2,3,6,223,446,669,1338
Greatest Common Factor
We found the factors 7988,1338 . The biggest common factor number is the GCF number.
So the greatest common factor 7988,1338 is 2.
Lets's calculate LCM of 306,6869
Given numbers has no common factors except 1. So, there LCM is their product i.e 2101914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2101914
Therefore, the GCF of Fractions 7988/306,1338/6869 is 2/2101914
Least Common Multiple of 306,6869 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 306,6869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,6869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,6869) x common factors =1 x 1 = 1
LCM(306,6869) = ( 306 × 6869 ) / 1
LCM(306,6869) = 2101914 / 1
LCM(306,6869) = 2101914
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FAQs on GCF of Fractions of 7988/306, 1338/6869
1. What is the HCF of 7988,1338?
The HCF of 7988,1338 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 7988/306, 1338/6869?
Answer: GCF of Numerators as per given numbers 7988/306, 1338/6869 is
GCF of Numerators i.e. for 7988,1338 is 2
LCM of denominators i.e. for 306,6869 is 2101914.
Thus, GCF of Fractions is 2/2101914.Finally, GCF of Fractions for 7988/306, 1338/6869 is 2/2101914.