GCF of 5256/175, 6013/4729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5256/175, 6013/4729 i.e 1/827575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5256/175, 6013/4729.
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 5256/175,6013/4729?
Given fractions are 5256/175,6013/4729
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 5256/175,6013/4729, numerators are 5256,6013
Denominators are 175,4729
The GCF of 5256,6013 is 1 .
LCM of 175,4729 is 827575.
The greatest common factor of 5256/175,6013/4729 = [GCF of 5256,6013]/[LCM of 175,4729]= 1/827575
Therefore, the GCF of 5256/175,6013/4729 is 1/827575.
To find the highest common factor of 5256,6013, we have to find the factors of both numbers and list the highest common factor.
The factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256
The factors of 6013 are 1, 7, 859, 6013
The HCF of 5256,6013 is 1.
Lets's calculate GCF of 5256,6013
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5256,6013 By Matching Biggest Common Factor Method
Now, list down the factors of 5256
:1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256
Now, list down the factors of 6013
:1,7,859,6013
Greatest Common Factor
We found the factors 5256,6013 . The biggest common factor number is the GCF number.
So the greatest common factor 5256,6013 is 1.
Lets's calculate LCM of 175,4729
Given numbers has no common factors except 1. So, there LCM is their product i.e 827575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/827575
Therefore, the GCF of Fractions 5256/175,6013/4729 is 1/827575
Least Common Multiple of 175,4729 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 175,4729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,4729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,4729) x common factors =1 x 1 = 1
LCM(175,4729) = ( 175 × 4729 ) / 1
LCM(175,4729) = 827575 / 1
LCM(175,4729) = 827575
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FAQs on GCF of Fractions of 5256/175, 6013/4729
1. What is the HCF of 5256,6013?
The HCF of 5256,6013 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 5256/175, 6013/4729?
Answer: GCF of Numerators as per given numbers 5256/175, 6013/4729 is
GCF of Numerators i.e. for 5256,6013 is 1
LCM of denominators i.e. for 175,4729 is 827575.
Thus, GCF of Fractions is 1/827575.Finally, GCF of Fractions for 5256/175, 6013/4729 is 1/827575.