GCF of 5713/569, 1748/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5713/569, 1748/309 i.e 1/175821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5713/569, 1748/309.
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 5713/569,1748/309?
Given fractions are 5713/569,1748/309
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 5713/569,1748/309, numerators are 5713,1748
Denominators are 569,309
The GCF of 5713,1748 is 1 .
LCM of 569,309 is 175821.
The greatest common factor of 5713/569,1748/309 = [GCF of 5713,1748]/[LCM of 569,309]= 1/175821
Therefore, the GCF of 5713/569,1748/309 is 1/175821.
To find the highest common factor of 5713,1748, we have to find the factors of both numbers and list the highest common factor.
The factors of 5713 are 1, 29, 197, 5713
The factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748
The HCF of 5713,1748 is 1.
Lets's calculate GCF of 5713,1748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5713,1748 By Matching Biggest Common Factor Method
Now, list down the factors of 5713
:1,29,197,5713
Now, list down the factors of 1748
:1,2,4,19,23,38,46,76,92,437,874,1748
Greatest Common Factor
We found the factors 5713,1748 . The biggest common factor number is the GCF number.
So the greatest common factor 5713,1748 is 1.
Lets's calculate LCM of 569,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 175821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175821
Therefore, the GCF of Fractions 5713/569,1748/309 is 1/175821
Least Common Multiple of 569,309 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 569,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,309) x common factors =1 x 1 = 1
LCM(569,309) = ( 569 × 309 ) / 1
LCM(569,309) = 175821 / 1
LCM(569,309) = 175821
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FAQs on GCF of Fractions of 5713/569, 1748/309
1. What is the HCF of 5713,1748?
The HCF of 5713,1748 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 5713/569, 1748/309?
Answer: GCF of Numerators as per given numbers 5713/569, 1748/309 is
GCF of Numerators i.e. for 5713,1748 is 1
LCM of denominators i.e. for 569,309 is 175821.
Thus, GCF of Fractions is 1/175821.Finally, GCF of Fractions for 5713/569, 1748/309 is 1/175821.