GCF of 3926/964, 8492/4182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3926/964, 8492/4182 i.e 2/2015724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3926/964, 8492/4182.
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 3926/964,8492/4182?
Given fractions are 3926/964,8492/4182
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 3926/964,8492/4182, numerators are 3926,8492
Denominators are 964,4182
The GCF of 3926,8492 is 2 .
LCM of 964,4182 is 2015724.
The greatest common factor of 3926/964,8492/4182 = [GCF of 3926,8492]/[LCM of 964,4182]= 2/2015724
Therefore, the GCF of 3926/964,8492/4182 is 2/2015724.
To find the highest common factor of 3926,8492, we have to find the factors of both numbers and list the highest common factor.
The factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926
The factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492
The HCF of 3926,8492 is 2.
Lets's calculate GCF of 3926,8492
| 2 | 3926, 8492 |
| 1963, 4246 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3926,8492 By Matching Biggest Common Factor Method
Now, list down the factors of 3926
:1,2,13,26,151,302,1963,3926
Now, list down the factors of 8492
:1,2,4,11,22,44,193,386,772,2123,4246,8492
Greatest Common Factor
We found the factors 3926,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 3926,8492 is 2.
Lets's calculate LCM of 964,4182
| 2 | 964, 4182 |
| 482, 2091 |
∴ So the LCM of the given numbers is 2 x 482 x 2091 = 2015724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2015724
Therefore, the GCF of Fractions 3926/964,8492/4182 is 2/2015724
Least Common Multiple of 964,4182 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 964,4182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,4182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(964,4182) x common factors =2 x 1 = 2
LCM(964,4182) = ( 964 × 4182 ) / 2
LCM(964,4182) = 4031448 / 2
LCM(964,4182) = 2015724
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3926/964, 8492/4182
1. What is the HCF of 3926,8492?
The HCF of 3926,8492 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 3926/964, 8492/4182?
Answer: GCF of Numerators as per given numbers 3926/964, 8492/4182 is
GCF of Numerators i.e. for 3926,8492 is 2
LCM of denominators i.e. for 964,4182 is 2015724.
Thus, GCF of Fractions is 2/2015724.Finally, GCF of Fractions for 3926/964, 8492/4182 is 2/2015724.