GCF of 5708/658, 1729/5223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5708/658, 1729/5223 i.e 1/3436734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5708/658, 1729/5223.
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 5708/658,1729/5223?
Given fractions are 5708/658,1729/5223
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 5708/658,1729/5223, numerators are 5708,1729
Denominators are 658,5223
The GCF of 5708,1729 is 1 .
LCM of 658,5223 is 3436734.
The greatest common factor of 5708/658,1729/5223 = [GCF of 5708,1729]/[LCM of 658,5223]= 1/3436734
Therefore, the GCF of 5708/658,1729/5223 is 1/3436734.
To find the highest common factor of 5708,1729, we have to find the factors of both numbers and list the highest common factor.
The factors of 5708 are 1, 2, 4, 1427, 2854, 5708
The factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729
The HCF of 5708,1729 is 1.
Lets's calculate GCF of 5708,1729
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5708,1729 By Matching Biggest Common Factor Method
Now, list down the factors of 5708
:1,2,4,1427,2854,5708
Now, list down the factors of 1729
:1,7,13,19,91,133,247,1729
Greatest Common Factor
We found the factors 5708,1729 . The biggest common factor number is the GCF number.
So the greatest common factor 5708,1729 is 1.
Lets's calculate LCM of 658,5223
Given numbers has no common factors except 1. So, there LCM is their product i.e 3436734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3436734
Therefore, the GCF of Fractions 5708/658,1729/5223 is 1/3436734
Least Common Multiple of 658,5223 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 658,5223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,5223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(658,5223) x common factors =1 x 1 = 1
LCM(658,5223) = ( 658 × 5223 ) / 1
LCM(658,5223) = 3436734 / 1
LCM(658,5223) = 3436734
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FAQs on GCF of Fractions of 5708/658, 1729/5223
1. What is the HCF of 5708,1729?
The HCF of 5708,1729 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 5708/658, 1729/5223?
Answer: GCF of Numerators as per given numbers 5708/658, 1729/5223 is
GCF of Numerators i.e. for 5708,1729 is 1
LCM of denominators i.e. for 658,5223 is 3436734.
Thus, GCF of Fractions is 1/3436734.Finally, GCF of Fractions for 5708/658, 1729/5223 is 1/3436734.