GCF of 2794/124, 5306/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2794/124, 5306/738 i.e 2/45756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2794/124, 5306/738.
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 2794/124,5306/738?
Given fractions are 2794/124,5306/738
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 2794/124,5306/738, numerators are 2794,5306
Denominators are 124,738
The GCF of 2794,5306 is 2 .
LCM of 124,738 is 45756.
The greatest common factor of 2794/124,5306/738 = [GCF of 2794,5306]/[LCM of 124,738]= 2/45756
Therefore, the GCF of 2794/124,5306/738 is 2/45756.
To find the highest common factor of 2794,5306, we have to find the factors of both numbers and list the highest common factor.
The factors of 2794 are 1, 2, 11, 22, 127, 254, 1397, 2794
The factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306
The HCF of 2794,5306 is 2.
Lets's calculate GCF of 2794,5306
| 2 | 2794, 5306 |
| 1397, 2653 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2794,5306 By Matching Biggest Common Factor Method
Now, list down the factors of 2794
:1,2,11,22,127,254,1397,2794
Now, list down the factors of 5306
:1,2,7,14,379,758,2653,5306
Greatest Common Factor
We found the factors 2794,5306 . The biggest common factor number is the GCF number.
So the greatest common factor 2794,5306 is 2.
Lets's calculate LCM of 124,738
| 2 | 124, 738 |
| 62, 369 |
∴ So the LCM of the given numbers is 2 x 62 x 369 = 45756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45756
Therefore, the GCF of Fractions 2794/124,5306/738 is 2/45756
Least Common Multiple of 124,738 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 124,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,738) x common factors =2 x 1 = 2
LCM(124,738) = ( 124 × 738 ) / 2
LCM(124,738) = 91512 / 2
LCM(124,738) = 45756
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FAQs on GCF of Fractions of 2794/124, 5306/738
1. What is the HCF of 2794,5306?
The HCF of 2794,5306 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 2794/124, 5306/738?
Answer: GCF of Numerators as per given numbers 2794/124, 5306/738 is
GCF of Numerators i.e. for 2794,5306 is 2
LCM of denominators i.e. for 124,738 is 45756.
Thus, GCF of Fractions is 2/45756.Finally, GCF of Fractions for 2794/124, 5306/738 is 2/45756.