GCF of 4299/738, 4994/1718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4299/738, 4994/1718 i.e 1/633942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4299/738, 4994/1718.
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 4299/738,4994/1718?
Given fractions are 4299/738,4994/1718
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 4299/738,4994/1718, numerators are 4299,4994
Denominators are 738,1718
The GCF of 4299,4994 is 1 .
LCM of 738,1718 is 633942.
The greatest common factor of 4299/738,4994/1718 = [GCF of 4299,4994]/[LCM of 738,1718]= 1/633942
Therefore, the GCF of 4299/738,4994/1718 is 1/633942.
To find the highest common factor of 4299,4994, we have to find the factors of both numbers and list the highest common factor.
The factors of 4299 are 1, 3, 1433, 4299
The factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994
The HCF of 4299,4994 is 1.
Lets's calculate GCF of 4299,4994
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4299,4994 By Matching Biggest Common Factor Method
Now, list down the factors of 4299
:1,3,1433,4299
Now, list down the factors of 4994
:1,2,11,22,227,454,2497,4994
Greatest Common Factor
We found the factors 4299,4994 . The biggest common factor number is the GCF number.
So the greatest common factor 4299,4994 is 1.
Lets's calculate LCM of 738,1718
| 2 | 738, 1718 |
| 369, 859 |
∴ So the LCM of the given numbers is 2 x 369 x 859 = 633942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633942
Therefore, the GCF of Fractions 4299/738,4994/1718 is 1/633942
Least Common Multiple of 738,1718 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 738,1718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,1718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,1718) x common factors =2 x 1 = 2
LCM(738,1718) = ( 738 × 1718 ) / 2
LCM(738,1718) = 1267884 / 2
LCM(738,1718) = 633942
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FAQs on GCF of Fractions of 4299/738, 4994/1718
1. What is the HCF of 4299,4994?
The HCF of 4299,4994 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 4299/738, 4994/1718?
Answer: GCF of Numerators as per given numbers 4299/738, 4994/1718 is
GCF of Numerators i.e. for 4299,4994 is 1
LCM of denominators i.e. for 738,1718 is 633942.
Thus, GCF of Fractions is 1/633942.Finally, GCF of Fractions for 4299/738, 4994/1718 is 1/633942.