GCF of 3958/295, 5308/950
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3958/295, 5308/950 i.e 2/56050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3958/295, 5308/950.
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 3958/295,5308/950?
Given fractions are 3958/295,5308/950
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 3958/295,5308/950, numerators are 3958,5308
Denominators are 295,950
The GCF of 3958,5308 is 2 .
LCM of 295,950 is 56050.
The greatest common factor of 3958/295,5308/950 = [GCF of 3958,5308]/[LCM of 295,950]= 2/56050
Therefore, the GCF of 3958/295,5308/950 is 2/56050.
To find the highest common factor of 3958,5308, we have to find the factors of both numbers and list the highest common factor.
The factors of 3958 are 1, 2, 1979, 3958
The factors of 5308 are 1, 2, 4, 1327, 2654, 5308
The HCF of 3958,5308 is 2.
Lets's calculate GCF of 3958,5308
| 2 | 3958, 5308 |
| 1979, 2654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3958,5308 By Matching Biggest Common Factor Method
Now, list down the factors of 3958
:1,2,1979,3958
Now, list down the factors of 5308
:1,2,4,1327,2654,5308
Greatest Common Factor
We found the factors 3958,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 3958,5308 is 2.
Lets's calculate LCM of 295,950
| 5 | 295, 950 |
| 59, 190 |
∴ So the LCM of the given numbers is 5 x 59 x 190 = 56050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56050
Therefore, the GCF of Fractions 3958/295,5308/950 is 2/56050
Least Common Multiple of 295,950 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 295,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,950) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,950) x common factors =5 x 1 = 5
LCM(295,950) = ( 295 × 950 ) / 5
LCM(295,950) = 280250 / 5
LCM(295,950) = 56050
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3958/295, 5308/950
1. What is the HCF of 3958,5308?
The HCF of 3958,5308 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 3958/295, 5308/950?
Answer: GCF of Numerators as per given numbers 3958/295, 5308/950 is
GCF of Numerators i.e. for 3958,5308 is 2
LCM of denominators i.e. for 295,950 is 56050.
Thus, GCF of Fractions is 2/56050.Finally, GCF of Fractions for 3958/295, 5308/950 is 2/56050.