GCF of 5810/526, 4047/3721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5810/526, 4047/3721 i.e 1/1957246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5810/526, 4047/3721.
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 5810/526,4047/3721?
Given fractions are 5810/526,4047/3721
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 5810/526,4047/3721, numerators are 5810,4047
Denominators are 526,3721
The GCF of 5810,4047 is 1 .
LCM of 526,3721 is 1957246.
The greatest common factor of 5810/526,4047/3721 = [GCF of 5810,4047]/[LCM of 526,3721]= 1/1957246
Therefore, the GCF of 5810/526,4047/3721 is 1/1957246.
To find the highest common factor of 5810,4047, we have to find the factors of both numbers and list the highest common factor.
The factors of 5810 are 1, 2, 5, 7, 10, 14, 35, 70, 83, 166, 415, 581, 830, 1162, 2905, 5810
The factors of 4047 are 1, 3, 19, 57, 71, 213, 1349, 4047
The HCF of 5810,4047 is 1.
Lets's calculate GCF of 5810,4047
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5810,4047 By Matching Biggest Common Factor Method
Now, list down the factors of 5810
:1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Now, list down the factors of 4047
:1,3,19,57,71,213,1349,4047
Greatest Common Factor
We found the factors 5810,4047 . The biggest common factor number is the GCF number.
So the greatest common factor 5810,4047 is 1.
Lets's calculate LCM of 526,3721
Given numbers has no common factors except 1. So, there LCM is their product i.e 1957246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1957246
Therefore, the GCF of Fractions 5810/526,4047/3721 is 1/1957246
Least Common Multiple of 526,3721 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 526,3721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,3721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,3721) x common factors =1 x 1 = 1
LCM(526,3721) = ( 526 × 3721 ) / 1
LCM(526,3721) = 1957246 / 1
LCM(526,3721) = 1957246
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FAQs on GCF of Fractions of 5810/526, 4047/3721
1. What is the HCF of 5810,4047?
The HCF of 5810,4047 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 5810/526, 4047/3721?
Answer: GCF of Numerators as per given numbers 5810/526, 4047/3721 is
GCF of Numerators i.e. for 5810,4047 is 1
LCM of denominators i.e. for 526,3721 is 1957246.
Thus, GCF of Fractions is 1/1957246.Finally, GCF of Fractions for 5810/526, 4047/3721 is 1/1957246.