GCF of 5059/569, 3759/6946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5059/569, 3759/6946 i.e 1/3952274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5059/569, 3759/6946.
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 5059/569,3759/6946?
Given fractions are 5059/569,3759/6946
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 5059/569,3759/6946, numerators are 5059,3759
Denominators are 569,6946
The GCF of 5059,3759 is 1 .
LCM of 569,6946 is 3952274.
The greatest common factor of 5059/569,3759/6946 = [GCF of 5059,3759]/[LCM of 569,6946]= 1/3952274
Therefore, the GCF of 5059/569,3759/6946 is 1/3952274.
To find the highest common factor of 5059,3759, we have to find the factors of both numbers and list the highest common factor.
The factors of 5059 are 1, 5059
The factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759
The HCF of 5059,3759 is 1.
Lets's calculate GCF of 5059,3759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5059,3759 By Matching Biggest Common Factor Method
Now, list down the factors of 5059
:1,5059
Now, list down the factors of 3759
:1,3,7,21,179,537,1253,3759
Greatest Common Factor
We found the factors 5059,3759 . The biggest common factor number is the GCF number.
So the greatest common factor 5059,3759 is 1.
Lets's calculate LCM of 569,6946
Given numbers has no common factors except 1. So, there LCM is their product i.e 3952274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3952274
Therefore, the GCF of Fractions 5059/569,3759/6946 is 1/3952274
Least Common Multiple of 569,6946 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 569,6946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,6946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,6946) x common factors =1 x 1 = 1
LCM(569,6946) = ( 569 × 6946 ) / 1
LCM(569,6946) = 3952274 / 1
LCM(569,6946) = 3952274
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FAQs on GCF of Fractions of 5059/569, 3759/6946
1. What is the HCF of 5059,3759?
The HCF of 5059,3759 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 5059/569, 3759/6946?
Answer: GCF of Numerators as per given numbers 5059/569, 3759/6946 is
GCF of Numerators i.e. for 5059,3759 is 1
LCM of denominators i.e. for 569,6946 is 3952274.
Thus, GCF of Fractions is 1/3952274.Finally, GCF of Fractions for 5059/569, 3759/6946 is 1/3952274.