GCF of 6445/526, 3618/593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6445/526, 3618/593 i.e 1/311918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6445/526, 3618/593.
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 6445/526,3618/593?
Given fractions are 6445/526,3618/593
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 6445/526,3618/593, numerators are 6445,3618
Denominators are 526,593
The GCF of 6445,3618 is 1 .
LCM of 526,593 is 311918.
The greatest common factor of 6445/526,3618/593 = [GCF of 6445,3618]/[LCM of 526,593]= 1/311918
Therefore, the GCF of 6445/526,3618/593 is 1/311918.
To find the highest common factor of 6445,3618, we have to find the factors of both numbers and list the highest common factor.
The factors of 6445 are 1, 5, 1289, 6445
The factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618
The HCF of 6445,3618 is 1.
Lets's calculate GCF of 6445,3618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6445,3618 By Matching Biggest Common Factor Method
Now, list down the factors of 6445
:1,5,1289,6445
Now, list down the factors of 3618
:1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618
Greatest Common Factor
We found the factors 6445,3618 . The biggest common factor number is the GCF number.
So the greatest common factor 6445,3618 is 1.
Lets's calculate LCM of 526,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 311918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311918
Therefore, the GCF of Fractions 6445/526,3618/593 is 1/311918
Least Common Multiple of 526,593 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 526,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(526,593) x common factors =1 x 1 = 1
LCM(526,593) = ( 526 × 593 ) / 1
LCM(526,593) = 311918 / 1
LCM(526,593) = 311918
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FAQs on GCF of Fractions of 6445/526, 3618/593
1. What is the HCF of 6445,3618?
The HCF of 6445,3618 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 6445/526, 3618/593?
Answer: GCF of Numerators as per given numbers 6445/526, 3618/593 is
GCF of Numerators i.e. for 6445,3618 is 1
LCM of denominators i.e. for 526,593 is 311918.
Thus, GCF of Fractions is 1/311918.Finally, GCF of Fractions for 6445/526, 3618/593 is 1/311918.