GCF of 3497/231, 3504/3056
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3497/231, 3504/3056 i.e 1/705936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3497/231, 3504/3056.
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 3497/231,3504/3056?
Given fractions are 3497/231,3504/3056
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 3497/231,3504/3056, numerators are 3497,3504
Denominators are 231,3056
The GCF of 3497,3504 is 1 .
LCM of 231,3056 is 705936.
The greatest common factor of 3497/231,3504/3056 = [GCF of 3497,3504]/[LCM of 231,3056]= 1/705936
Therefore, the GCF of 3497/231,3504/3056 is 1/705936.
To find the highest common factor of 3497,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 3497 are 1, 13, 269, 3497
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 3497,3504 is 1.
Lets's calculate GCF of 3497,3504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3497,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 3497
:1,13,269,3497
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 3497,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 3497,3504 is 1.
Lets's calculate LCM of 231,3056
Given numbers has no common factors except 1. So, there LCM is their product i.e 705936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705936
Therefore, the GCF of Fractions 3497/231,3504/3056 is 1/705936
Least Common Multiple of 231,3056 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 231,3056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,3056) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,3056) x common factors =1 x 1 = 1
LCM(231,3056) = ( 231 × 3056 ) / 1
LCM(231,3056) = 705936 / 1
LCM(231,3056) = 705936
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FAQs on GCF of Fractions of 3497/231, 3504/3056
1. What is the HCF of 3497,3504?
The HCF of 3497,3504 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 3497/231, 3504/3056?
Answer: GCF of Numerators as per given numbers 3497/231, 3504/3056 is
GCF of Numerators i.e. for 3497,3504 is 1
LCM of denominators i.e. for 231,3056 is 705936.
Thus, GCF of Fractions is 1/705936.Finally, GCF of Fractions for 3497/231, 3504/3056 is 1/705936.