GCF of 5798/742, 4174/9549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5798/742, 4174/9549 i.e 2/7085358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5798/742, 4174/9549.
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 5798/742,4174/9549?
Given fractions are 5798/742,4174/9549
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 5798/742,4174/9549, numerators are 5798,4174
Denominators are 742,9549
The GCF of 5798,4174 is 2 .
LCM of 742,9549 is 7085358.
The greatest common factor of 5798/742,4174/9549 = [GCF of 5798,4174]/[LCM of 742,9549]= 2/7085358
Therefore, the GCF of 5798/742,4174/9549 is 2/7085358.
To find the highest common factor of 5798,4174, we have to find the factors of both numbers and list the highest common factor.
The factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798
The factors of 4174 are 1, 2, 2087, 4174
The HCF of 5798,4174 is 2.
Lets's calculate GCF of 5798,4174
| 2 | 5798, 4174 |
| 2899, 2087 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5798,4174 By Matching Biggest Common Factor Method
Now, list down the factors of 5798
:1,2,13,26,223,446,2899,5798
Now, list down the factors of 4174
:1,2,2087,4174
Greatest Common Factor
We found the factors 5798,4174 . The biggest common factor number is the GCF number.
So the greatest common factor 5798,4174 is 2.
Lets's calculate LCM of 742,9549
Given numbers has no common factors except 1. So, there LCM is their product i.e 7085358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7085358
Therefore, the GCF of Fractions 5798/742,4174/9549 is 2/7085358
Least Common Multiple of 742,9549 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 742,9549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,9549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,9549) x common factors =1 x 1 = 1
LCM(742,9549) = ( 742 × 9549 ) / 1
LCM(742,9549) = 7085358 / 1
LCM(742,9549) = 7085358
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5798/742, 4174/9549
1. What is the HCF of 5798,4174?
The HCF of 5798,4174 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 5798/742, 4174/9549?
Answer: GCF of Numerators as per given numbers 5798/742, 4174/9549 is
GCF of Numerators i.e. for 5798,4174 is 2
LCM of denominators i.e. for 742,9549 is 7085358.
Thus, GCF of Fractions is 2/7085358.Finally, GCF of Fractions for 5798/742, 4174/9549 is 2/7085358.