GCF of 5242/316, 6798/4060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5242/316, 6798/4060 i.e 2/320740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5242/316, 6798/4060.
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 5242/316,6798/4060?
Given fractions are 5242/316,6798/4060
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 5242/316,6798/4060, numerators are 5242,6798
Denominators are 316,4060
The GCF of 5242,6798 is 2 .
LCM of 316,4060 is 320740.
The greatest common factor of 5242/316,6798/4060 = [GCF of 5242,6798]/[LCM of 316,4060]= 2/320740
Therefore, the GCF of 5242/316,6798/4060 is 2/320740.
To find the highest common factor of 5242,6798, we have to find the factors of both numbers and list the highest common factor.
The factors of 5242 are 1, 2, 2621, 5242
The factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
The HCF of 5242,6798 is 2.
Lets's calculate GCF of 5242,6798
| 2 | 5242, 6798 |
| 2621, 3399 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5242,6798 By Matching Biggest Common Factor Method
Now, list down the factors of 5242
:1,2,2621,5242
Now, list down the factors of 6798
:1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798
Greatest Common Factor
We found the factors 5242,6798 . The biggest common factor number is the GCF number.
So the greatest common factor 5242,6798 is 2.
Lets's calculate LCM of 316,4060
| 2 | 316, 4060 |
| 2 | 158, 2030 |
| 79, 1015 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 1015 = 320740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/320740
Therefore, the GCF of Fractions 5242/316,6798/4060 is 2/320740
Least Common Multiple of 316,4060 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 316,4060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,4060) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,4060) x common factors =4 x 1 = 4
LCM(316,4060) = ( 316 × 4060 ) / 4
LCM(316,4060) = 1282960 / 4
LCM(316,4060) = 320740
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FAQs on GCF of Fractions of 5242/316, 6798/4060
1. What is the HCF of 5242,6798?
The HCF of 5242,6798 is 2
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 5242/316, 6798/4060?
Answer: GCF of Numerators as per given numbers 5242/316, 6798/4060 is
GCF of Numerators i.e. for 5242,6798 is 2
LCM of denominators i.e. for 316,4060 is 320740.
Thus, GCF of Fractions is 2/320740.Finally, GCF of Fractions for 5242/316, 6798/4060 is 2/320740.