GCF of 4065/926, 1615/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4065/926, 1615/823 i.e 5/762098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4065/926, 1615/823.
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 4065/926,1615/823?
Given fractions are 4065/926,1615/823
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 4065/926,1615/823, numerators are 4065,1615
Denominators are 926,823
The GCF of 4065,1615 is 5 .
LCM of 926,823 is 762098.
The greatest common factor of 4065/926,1615/823 = [GCF of 4065,1615]/[LCM of 926,823]= 5/762098
Therefore, the GCF of 4065/926,1615/823 is 5/762098.
To find the highest common factor of 4065,1615, we have to find the factors of both numbers and list the highest common factor.
The factors of 4065 are 1, 3, 5, 15, 271, 813, 1355, 4065
The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615
The HCF of 4065,1615 is 5.
Lets's calculate GCF of 4065,1615
| 5 | 4065, 1615 |
| 813, 323 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4065,1615 By Matching Biggest Common Factor Method
Now, list down the factors of 4065
:1,3,5,15,271,813,1355,4065
Now, list down the factors of 1615
:1,5,17,19,85,95,323,1615
Greatest Common Factor
We found the factors 4065,1615 . The biggest common factor number is the GCF number.
So the greatest common factor 4065,1615 is 5.
Lets's calculate LCM of 926,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 762098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/762098
Therefore, the GCF of Fractions 4065/926,1615/823 is 5/762098
Least Common Multiple of 926,823 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 926,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,823) x common factors =1 x 1 = 1
LCM(926,823) = ( 926 × 823 ) / 1
LCM(926,823) = 762098 / 1
LCM(926,823) = 762098
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FAQs on GCF of Fractions of 4065/926, 1615/823
1. What is the HCF of 4065,1615?
The HCF of 4065,1615 is 5
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 4065/926, 1615/823?
Answer: GCF of Numerators as per given numbers 4065/926, 1615/823 is
GCF of Numerators i.e. for 4065,1615 is 5
LCM of denominators i.e. for 926,823 is 762098.
Thus, GCF of Fractions is 5/762098.Finally, GCF of Fractions for 4065/926, 1615/823 is 5/762098.