GCF of 1271/679, 1280/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1271/679, 1280/299 i.e 1/203021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1271/679, 1280/299.
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 1271/679,1280/299?
Given fractions are 1271/679,1280/299
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 1271/679,1280/299, numerators are 1271,1280
Denominators are 679,299
The GCF of 1271,1280 is 1 .
LCM of 679,299 is 203021.
The greatest common factor of 1271/679,1280/299 = [GCF of 1271,1280]/[LCM of 679,299]= 1/203021
Therefore, the GCF of 1271/679,1280/299 is 1/203021.
To find the highest common factor of 1271,1280, we have to find the factors of both numbers and list the highest common factor.
The factors of 1271 are 1, 31, 41, 1271
The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
The HCF of 1271,1280 is 1.
Lets's calculate GCF of 1271,1280
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1271,1280 By Matching Biggest Common Factor Method
Now, list down the factors of 1271
:1,31,41,1271
Now, list down the factors of 1280
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280
Greatest Common Factor
We found the factors 1271,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 1271,1280 is 1.
Lets's calculate LCM of 679,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 203021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203021
Therefore, the GCF of Fractions 1271/679,1280/299 is 1/203021
Least Common Multiple of 679,299 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 679,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,299) x common factors =1 x 1 = 1
LCM(679,299) = ( 679 × 299 ) / 1
LCM(679,299) = 203021 / 1
LCM(679,299) = 203021
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FAQs on GCF of Fractions of 1271/679, 1280/299
1. What is the HCF of 1271,1280?
The HCF of 1271,1280 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 1271/679, 1280/299?
Answer: GCF of Numerators as per given numbers 1271/679, 1280/299 is
GCF of Numerators i.e. for 1271,1280 is 1
LCM of denominators i.e. for 679,299 is 203021.
Thus, GCF of Fractions is 1/203021.Finally, GCF of Fractions for 1271/679, 1280/299 is 1/203021.