GCF of 296/665, 9058/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 296/665, 9058/734 i.e 2/488110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/665, 9058/734.
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 296/665,9058/734?
Given fractions are 296/665,9058/734
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 296/665,9058/734, numerators are 296,9058
Denominators are 665,734
The GCF of 296,9058 is 2 .
LCM of 665,734 is 488110.
The greatest common factor of 296/665,9058/734 = [GCF of 296,9058]/[LCM of 665,734]= 2/488110
Therefore, the GCF of 296/665,9058/734 is 2/488110.
To find the highest common factor of 296,9058, we have to find the factors of both numbers and list the highest common factor.
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058
The HCF of 296,9058 is 2.
Lets's calculate GCF of 296,9058
| 2 | 296, 9058 |
| 148, 4529 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 296,9058 By Matching Biggest Common Factor Method
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 9058
:1,2,7,14,647,1294,4529,9058
Greatest Common Factor
We found the factors 296,9058 . The biggest common factor number is the GCF number.
So the greatest common factor 296,9058 is 2.
Lets's calculate LCM of 665,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 488110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/488110
Therefore, the GCF of Fractions 296/665,9058/734 is 2/488110
Least Common Multiple of 665,734 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 665,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,734) x common factors =1 x 1 = 1
LCM(665,734) = ( 665 × 734 ) / 1
LCM(665,734) = 488110 / 1
LCM(665,734) = 488110
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 296/665, 9058/734
1. What is the HCF of 296,9058?
The HCF of 296,9058 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 296/665, 9058/734?
Answer: GCF of Numerators as per given numbers 296/665, 9058/734 is
GCF of Numerators i.e. for 296,9058 is 2
LCM of denominators i.e. for 665,734 is 488110.
Thus, GCF of Fractions is 2/488110.Finally, GCF of Fractions for 296/665, 9058/734 is 2/488110.