GCF of 1066/737, 3879/6275
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1066/737, 3879/6275 i.e 1/4624675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1066/737, 3879/6275.
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 1066/737,3879/6275?
Given fractions are 1066/737,3879/6275
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 1066/737,3879/6275, numerators are 1066,3879
Denominators are 737,6275
The GCF of 1066,3879 is 1 .
LCM of 737,6275 is 4624675.
The greatest common factor of 1066/737,3879/6275 = [GCF of 1066,3879]/[LCM of 737,6275]= 1/4624675
Therefore, the GCF of 1066/737,3879/6275 is 1/4624675.
To find the highest common factor of 1066,3879, we have to find the factors of both numbers and list the highest common factor.
The factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066
The factors of 3879 are 1, 3, 9, 431, 1293, 3879
The HCF of 1066,3879 is 1.
Lets's calculate GCF of 1066,3879
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1066,3879 By Matching Biggest Common Factor Method
Now, list down the factors of 1066
:1,2,13,26,41,82,533,1066
Now, list down the factors of 3879
:1,3,9,431,1293,3879
Greatest Common Factor
We found the factors 1066,3879 . The biggest common factor number is the GCF number.
So the greatest common factor 1066,3879 is 1.
Lets's calculate LCM of 737,6275
Given numbers has no common factors except 1. So, there LCM is their product i.e 4624675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4624675
Therefore, the GCF of Fractions 1066/737,3879/6275 is 1/4624675
Least Common Multiple of 737,6275 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 737,6275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,6275) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,6275) x common factors =1 x 1 = 1
LCM(737,6275) = ( 737 × 6275 ) / 1
LCM(737,6275) = 4624675 / 1
LCM(737,6275) = 4624675
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FAQs on GCF of Fractions of 1066/737, 3879/6275
1. What is the HCF of 1066,3879?
The HCF of 1066,3879 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 1066/737, 3879/6275?
Answer: GCF of Numerators as per given numbers 1066/737, 3879/6275 is
GCF of Numerators i.e. for 1066,3879 is 1
LCM of denominators i.e. for 737,6275 is 4624675.
Thus, GCF of Fractions is 1/4624675.Finally, GCF of Fractions for 1066/737, 3879/6275 is 1/4624675.