GCF of 3782/268, 3644/5994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3782/268, 3644/5994 i.e 2/803196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3782/268, 3644/5994.
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 3782/268,3644/5994?
Given fractions are 3782/268,3644/5994
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 3782/268,3644/5994, numerators are 3782,3644
Denominators are 268,5994
The GCF of 3782,3644 is 2 .
LCM of 268,5994 is 803196.
The greatest common factor of 3782/268,3644/5994 = [GCF of 3782,3644]/[LCM of 268,5994]= 2/803196
Therefore, the GCF of 3782/268,3644/5994 is 2/803196.
To find the highest common factor of 3782,3644, we have to find the factors of both numbers and list the highest common factor.
The factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782
The factors of 3644 are 1, 2, 4, 911, 1822, 3644
The HCF of 3782,3644 is 2.
Lets's calculate GCF of 3782,3644
| 2 | 3782, 3644 |
| 1891, 1822 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3782,3644 By Matching Biggest Common Factor Method
Now, list down the factors of 3782
:1,2,31,61,62,122,1891,3782
Now, list down the factors of 3644
:1,2,4,911,1822,3644
Greatest Common Factor
We found the factors 3782,3644 . The biggest common factor number is the GCF number.
So the greatest common factor 3782,3644 is 2.
Lets's calculate LCM of 268,5994
| 2 | 268, 5994 |
| 134, 2997 |
∴ So the LCM of the given numbers is 2 x 134 x 2997 = 803196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/803196
Therefore, the GCF of Fractions 3782/268,3644/5994 is 2/803196
Least Common Multiple of 268,5994 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 268,5994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,5994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(268,5994) x common factors =2 x 1 = 2
LCM(268,5994) = ( 268 × 5994 ) / 2
LCM(268,5994) = 1606392 / 2
LCM(268,5994) = 803196
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3782/268, 3644/5994
1. What is the HCF of 3782,3644?
The HCF of 3782,3644 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 3782/268, 3644/5994?
Answer: GCF of Numerators as per given numbers 3782/268, 3644/5994 is
GCF of Numerators i.e. for 3782,3644 is 2
LCM of denominators i.e. for 268,5994 is 803196.
Thus, GCF of Fractions is 2/803196.Finally, GCF of Fractions for 3782/268, 3644/5994 is 2/803196.