GCF of 6079/433, 1768/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6079/433, 1768/368 i.e 1/159344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6079/433, 1768/368.
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 6079/433,1768/368?
Given fractions are 6079/433,1768/368
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 6079/433,1768/368, numerators are 6079,1768
Denominators are 433,368
The GCF of 6079,1768 is 1 .
LCM of 433,368 is 159344.
The greatest common factor of 6079/433,1768/368 = [GCF of 6079,1768]/[LCM of 433,368]= 1/159344
Therefore, the GCF of 6079/433,1768/368 is 1/159344.
To find the highest common factor of 6079,1768, we have to find the factors of both numbers and list the highest common factor.
The factors of 6079 are 1, 6079
The factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768
The HCF of 6079,1768 is 1.
Lets's calculate GCF of 6079,1768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6079,1768 By Matching Biggest Common Factor Method
Now, list down the factors of 6079
:1,6079
Now, list down the factors of 1768
:1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768
Greatest Common Factor
We found the factors 6079,1768 . The biggest common factor number is the GCF number.
So the greatest common factor 6079,1768 is 1.
Lets's calculate LCM of 433,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 159344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159344
Therefore, the GCF of Fractions 6079/433,1768/368 is 1/159344
Least Common Multiple of 433,368 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 433,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,368) x common factors =1 x 1 = 1
LCM(433,368) = ( 433 × 368 ) / 1
LCM(433,368) = 159344 / 1
LCM(433,368) = 159344
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FAQs on GCF of Fractions of 6079/433, 1768/368
1. What is the HCF of 6079,1768?
The HCF of 6079,1768 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 6079/433, 1768/368?
Answer: GCF of Numerators as per given numbers 6079/433, 1768/368 is
GCF of Numerators i.e. for 6079,1768 is 1
LCM of denominators i.e. for 433,368 is 159344.
Thus, GCF of Fractions is 1/159344.Finally, GCF of Fractions for 6079/433, 1768/368 is 1/159344.