GCF of 1336/705, 1479/5041
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1336/705, 1479/5041 i.e 1/3553905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1336/705, 1479/5041.
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 1336/705,1479/5041?
Given fractions are 1336/705,1479/5041
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 1336/705,1479/5041, numerators are 1336,1479
Denominators are 705,5041
The GCF of 1336,1479 is 1 .
LCM of 705,5041 is 3553905.
The greatest common factor of 1336/705,1479/5041 = [GCF of 1336,1479]/[LCM of 705,5041]= 1/3553905
Therefore, the GCF of 1336/705,1479/5041 is 1/3553905.
To find the highest common factor of 1336,1479, we have to find the factors of both numbers and list the highest common factor.
The factors of 1336 are 1, 2, 4, 8, 167, 334, 668, 1336
The factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479
The HCF of 1336,1479 is 1.
Lets's calculate GCF of 1336,1479
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1336,1479 By Matching Biggest Common Factor Method
Now, list down the factors of 1336
:1,2,4,8,167,334,668,1336
Now, list down the factors of 1479
:1,3,17,29,51,87,493,1479
Greatest Common Factor
We found the factors 1336,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 1336,1479 is 1.
Lets's calculate LCM of 705,5041
Given numbers has no common factors except 1. So, there LCM is their product i.e 3553905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3553905
Therefore, the GCF of Fractions 1336/705,1479/5041 is 1/3553905
Least Common Multiple of 705,5041 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 705,5041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,5041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,5041) x common factors =1 x 1 = 1
LCM(705,5041) = ( 705 × 5041 ) / 1
LCM(705,5041) = 3553905 / 1
LCM(705,5041) = 3553905
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FAQs on GCF of Fractions of 1336/705, 1479/5041
1. What is the HCF of 1336,1479?
The HCF of 1336,1479 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 1336/705, 1479/5041?
Answer: GCF of Numerators as per given numbers 1336/705, 1479/5041 is
GCF of Numerators i.e. for 1336,1479 is 1
LCM of denominators i.e. for 705,5041 is 3553905.
Thus, GCF of Fractions is 1/3553905.Finally, GCF of Fractions for 1336/705, 1479/5041 is 1/3553905.