GCF of 4164/513, 5644/6743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4164/513, 5644/6743 i.e 4/3459159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4164/513, 5644/6743.
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 4164/513,5644/6743?
Given fractions are 4164/513,5644/6743
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 4164/513,5644/6743, numerators are 4164,5644
Denominators are 513,6743
The GCF of 4164,5644 is 4 .
LCM of 513,6743 is 3459159.
The greatest common factor of 4164/513,5644/6743 = [GCF of 4164,5644]/[LCM of 513,6743]= 4/3459159
Therefore, the GCF of 4164/513,5644/6743 is 4/3459159.
To find the highest common factor of 4164,5644, we have to find the factors of both numbers and list the highest common factor.
The factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164
The factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644
The HCF of 4164,5644 is 4.
Lets's calculate GCF of 4164,5644
| 2 | 4164, 5644 |
| 2 | 2082, 2822 |
| 1041, 1411 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4164,5644 By Matching Biggest Common Factor Method
Now, list down the factors of 4164
:1,2,3,4,6,12,347,694,1041,1388,2082,4164
Now, list down the factors of 5644
:1,2,4,17,34,68,83,166,332,1411,2822,5644
Greatest Common Factor
We found the factors 4164,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 4164,5644 is 4.
Lets's calculate LCM of 513,6743
Given numbers has no common factors except 1. So, there LCM is their product i.e 3459159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3459159
Therefore, the GCF of Fractions 4164/513,5644/6743 is 4/3459159
Least Common Multiple of 513,6743 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 513,6743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,6743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,6743) x common factors =1 x 1 = 1
LCM(513,6743) = ( 513 × 6743 ) / 1
LCM(513,6743) = 3459159 / 1
LCM(513,6743) = 3459159
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FAQs on GCF of Fractions of 4164/513, 5644/6743
1. What is the HCF of 4164,5644?
The HCF of 4164,5644 is 4
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 4164/513, 5644/6743?
Answer: GCF of Numerators as per given numbers 4164/513, 5644/6743 is
GCF of Numerators i.e. for 4164,5644 is 4
LCM of denominators i.e. for 513,6743 is 3459159.
Thus, GCF of Fractions is 4/3459159.Finally, GCF of Fractions for 4164/513, 5644/6743 is 4/3459159.