GCF of 3928/312, 2407/2494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3928/312, 2407/2494 i.e 1/389064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3928/312, 2407/2494.
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 3928/312,2407/2494?
Given fractions are 3928/312,2407/2494
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 3928/312,2407/2494, numerators are 3928,2407
Denominators are 312,2494
The GCF of 3928,2407 is 1 .
LCM of 312,2494 is 389064.
The greatest common factor of 3928/312,2407/2494 = [GCF of 3928,2407]/[LCM of 312,2494]= 1/389064
Therefore, the GCF of 3928/312,2407/2494 is 1/389064.
To find the highest common factor of 3928,2407, we have to find the factors of both numbers and list the highest common factor.
The factors of 3928 are 1, 2, 4, 8, 491, 982, 1964, 3928
The factors of 2407 are 1, 29, 83, 2407
The HCF of 3928,2407 is 1.
Lets's calculate GCF of 3928,2407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3928,2407 By Matching Biggest Common Factor Method
Now, list down the factors of 3928
:1,2,4,8,491,982,1964,3928
Now, list down the factors of 2407
:1,29,83,2407
Greatest Common Factor
We found the factors 3928,2407 . The biggest common factor number is the GCF number.
So the greatest common factor 3928,2407 is 1.
Lets's calculate LCM of 312,2494
| 2 | 312, 2494 |
| 156, 1247 |
∴ So the LCM of the given numbers is 2 x 156 x 1247 = 389064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389064
Therefore, the GCF of Fractions 3928/312,2407/2494 is 1/389064
Least Common Multiple of 312,2494 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 312,2494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,2494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(312,2494) x common factors =2 x 1 = 2
LCM(312,2494) = ( 312 × 2494 ) / 2
LCM(312,2494) = 778128 / 2
LCM(312,2494) = 389064
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FAQs on GCF of Fractions of 3928/312, 2407/2494
1. What is the HCF of 3928,2407?
The HCF of 3928,2407 is 1
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 3928/312, 2407/2494?
Answer: GCF of Numerators as per given numbers 3928/312, 2407/2494 is
GCF of Numerators i.e. for 3928,2407 is 1
LCM of denominators i.e. for 312,2494 is 389064.
Thus, GCF of Fractions is 1/389064.Finally, GCF of Fractions for 3928/312, 2407/2494 is 1/389064.