GCF of 1033/277, 3195/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1033/277, 3195/344 i.e 1/95288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1033/277, 3195/344.
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 1033/277,3195/344?
Given fractions are 1033/277,3195/344
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 1033/277,3195/344, numerators are 1033,3195
Denominators are 277,344
The GCF of 1033,3195 is 1 .
LCM of 277,344 is 95288.
The greatest common factor of 1033/277,3195/344 = [GCF of 1033,3195]/[LCM of 277,344]= 1/95288
Therefore, the GCF of 1033/277,3195/344 is 1/95288.
To find the highest common factor of 1033,3195, we have to find the factors of both numbers and list the highest common factor.
The factors of 1033 are 1, 1033
The factors of 3195 are 1, 3, 5, 9, 15, 45, 71, 213, 355, 639, 1065, 3195
The HCF of 1033,3195 is 1.
Lets's calculate GCF of 1033,3195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1033,3195 By Matching Biggest Common Factor Method
Now, list down the factors of 1033
:1,1033
Now, list down the factors of 3195
:1,3,5,9,15,45,71,213,355,639,1065,3195
Greatest Common Factor
We found the factors 1033,3195 . The biggest common factor number is the GCF number.
So the greatest common factor 1033,3195 is 1.
Lets's calculate LCM of 277,344
Given numbers has no common factors except 1. So, there LCM is their product i.e 95288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95288
Therefore, the GCF of Fractions 1033/277,3195/344 is 1/95288
Least Common Multiple of 277,344 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 277,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,344) x common factors =1 x 1 = 1
LCM(277,344) = ( 277 × 344 ) / 1
LCM(277,344) = 95288 / 1
LCM(277,344) = 95288
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FAQs on GCF of Fractions of 1033/277, 3195/344
1. What is the HCF of 1033,3195?
The HCF of 1033,3195 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 1033/277, 3195/344?
Answer: GCF of Numerators as per given numbers 1033/277, 3195/344 is
GCF of Numerators i.e. for 1033,3195 is 1
LCM of denominators i.e. for 277,344 is 95288.
Thus, GCF of Fractions is 1/95288.Finally, GCF of Fractions for 1033/277, 3195/344 is 1/95288.