GCF of 8809/342, 7338/772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8809/342, 7338/772 i.e 1/132012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8809/342, 7338/772.
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 8809/342,7338/772?
Given fractions are 8809/342,7338/772
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 8809/342,7338/772, numerators are 8809,7338
Denominators are 342,772
The GCF of 8809,7338 is 1 .
LCM of 342,772 is 132012.
The greatest common factor of 8809/342,7338/772 = [GCF of 8809,7338]/[LCM of 342,772]= 1/132012
Therefore, the GCF of 8809/342,7338/772 is 1/132012.
To find the highest common factor of 8809,7338, we have to find the factors of both numbers and list the highest common factor.
The factors of 8809 are 1, 23, 383, 8809
The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338
The HCF of 8809,7338 is 1.
Lets's calculate GCF of 8809,7338
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8809,7338 By Matching Biggest Common Factor Method
Now, list down the factors of 8809
:1,23,383,8809
Now, list down the factors of 7338
:1,2,3,6,1223,2446,3669,7338
Greatest Common Factor
We found the factors 8809,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 8809,7338 is 1.
Lets's calculate LCM of 342,772
| 2 | 342, 772 |
| 171, 386 |
∴ So the LCM of the given numbers is 2 x 171 x 386 = 132012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132012
Therefore, the GCF of Fractions 8809/342,7338/772 is 1/132012
Least Common Multiple of 342,772 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 342,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,772) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,772) x common factors =2 x 1 = 2
LCM(342,772) = ( 342 × 772 ) / 2
LCM(342,772) = 264024 / 2
LCM(342,772) = 132012
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FAQs on GCF of Fractions of 8809/342, 7338/772
1. What is the HCF of 8809,7338?
The HCF of 8809,7338 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 8809/342, 7338/772?
Answer: GCF of Numerators as per given numbers 8809/342, 7338/772 is
GCF of Numerators i.e. for 8809,7338 is 1
LCM of denominators i.e. for 342,772 is 132012.
Thus, GCF of Fractions is 1/132012.Finally, GCF of Fractions for 8809/342, 7338/772 is 1/132012.