GCF of 4311/164, 5018/7224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4311/164, 5018/7224 i.e 1/296184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4311/164, 5018/7224.
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 4311/164,5018/7224?
Given fractions are 4311/164,5018/7224
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 4311/164,5018/7224, numerators are 4311,5018
Denominators are 164,7224
The GCF of 4311,5018 is 1 .
LCM of 164,7224 is 296184.
The greatest common factor of 4311/164,5018/7224 = [GCF of 4311,5018]/[LCM of 164,7224]= 1/296184
Therefore, the GCF of 4311/164,5018/7224 is 1/296184.
To find the highest common factor of 4311,5018, we have to find the factors of both numbers and list the highest common factor.
The factors of 4311 are 1, 3, 9, 479, 1437, 4311
The factors of 5018 are 1, 2, 13, 26, 193, 386, 2509, 5018
The HCF of 4311,5018 is 1.
Lets's calculate GCF of 4311,5018
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4311,5018 By Matching Biggest Common Factor Method
Now, list down the factors of 4311
:1,3,9,479,1437,4311
Now, list down the factors of 5018
:1,2,13,26,193,386,2509,5018
Greatest Common Factor
We found the factors 4311,5018 . The biggest common factor number is the GCF number.
So the greatest common factor 4311,5018 is 1.
Lets's calculate LCM of 164,7224
| 2 | 164, 7224 |
| 2 | 82, 3612 |
| 41, 1806 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 1806 = 296184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296184
Therefore, the GCF of Fractions 4311/164,5018/7224 is 1/296184
Least Common Multiple of 164,7224 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 164,7224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,7224) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,7224) x common factors =4 x 1 = 4
LCM(164,7224) = ( 164 × 7224 ) / 4
LCM(164,7224) = 1184736 / 4
LCM(164,7224) = 296184
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FAQs on GCF of Fractions of 4311/164, 5018/7224
1. What is the HCF of 4311,5018?
The HCF of 4311,5018 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 4311/164, 5018/7224?
Answer: GCF of Numerators as per given numbers 4311/164, 5018/7224 is
GCF of Numerators i.e. for 4311,5018 is 1
LCM of denominators i.e. for 164,7224 is 296184.
Thus, GCF of Fractions is 1/296184.Finally, GCF of Fractions for 4311/164, 5018/7224 is 1/296184.