GCF of 6128/342, 6817/3469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6128/342, 6817/3469 i.e 1/1186398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6128/342, 6817/3469.
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 6128/342,6817/3469?
Given fractions are 6128/342,6817/3469
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 6128/342,6817/3469, numerators are 6128,6817
Denominators are 342,3469
The GCF of 6128,6817 is 1 .
LCM of 342,3469 is 1186398.
The greatest common factor of 6128/342,6817/3469 = [GCF of 6128,6817]/[LCM of 342,3469]= 1/1186398
Therefore, the GCF of 6128/342,6817/3469 is 1/1186398.
To find the highest common factor of 6128,6817, we have to find the factors of both numbers and list the highest common factor.
The factors of 6128 are 1, 2, 4, 8, 16, 383, 766, 1532, 3064, 6128
The factors of 6817 are 1, 17, 401, 6817
The HCF of 6128,6817 is 1.
Lets's calculate GCF of 6128,6817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6128,6817 By Matching Biggest Common Factor Method
Now, list down the factors of 6128
:1,2,4,8,16,383,766,1532,3064,6128
Now, list down the factors of 6817
:1,17,401,6817
Greatest Common Factor
We found the factors 6128,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 6128,6817 is 1.
Lets's calculate LCM of 342,3469
Given numbers has no common factors except 1. So, there LCM is their product i.e 1186398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1186398
Therefore, the GCF of Fractions 6128/342,6817/3469 is 1/1186398
Least Common Multiple of 342,3469 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 342,3469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,3469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,3469) x common factors =1 x 1 = 1
LCM(342,3469) = ( 342 × 3469 ) / 1
LCM(342,3469) = 1186398 / 1
LCM(342,3469) = 1186398
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FAQs on GCF of Fractions of 6128/342, 6817/3469
1. What is the HCF of 6128,6817?
The HCF of 6128,6817 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 6128/342, 6817/3469?
Answer: GCF of Numerators as per given numbers 6128/342, 6817/3469 is
GCF of Numerators i.e. for 6128,6817 is 1
LCM of denominators i.e. for 342,3469 is 1186398.
Thus, GCF of Fractions is 1/1186398.Finally, GCF of Fractions for 6128/342, 6817/3469 is 1/1186398.