GCF of 3961/340, 3782/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3961/340, 3782/238 i.e 1/2380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3961/340, 3782/238.
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 3961/340,3782/238?
Given fractions are 3961/340,3782/238
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 3961/340,3782/238, numerators are 3961,3782
Denominators are 340,238
The GCF of 3961,3782 is 1 .
LCM of 340,238 is 2380.
The greatest common factor of 3961/340,3782/238 = [GCF of 3961,3782]/[LCM of 340,238]= 1/2380
Therefore, the GCF of 3961/340,3782/238 is 1/2380.
To find the highest common factor of 3961,3782, we have to find the factors of both numbers and list the highest common factor.
The factors of 3961 are 1, 17, 233, 3961
The factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782
The HCF of 3961,3782 is 1.
Lets's calculate GCF of 3961,3782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3961,3782 By Matching Biggest Common Factor Method
Now, list down the factors of 3961
:1,17,233,3961
Now, list down the factors of 3782
:1,2,31,61,62,122,1891,3782
Greatest Common Factor
We found the factors 3961,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 3961,3782 is 1.
Lets's calculate LCM of 340,238
| 2 | 340, 238 |
| 17 | 170, 119 |
| 10, 7 |
∴ So the LCM of the given numbers is 2 x 17 x 10 x 7 = 2380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2380
Therefore, the GCF of Fractions 3961/340,3782/238 is 1/2380
Least Common Multiple of 340,238 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 340,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,238) = 34
common factors(in case of two or more numbers have common factors) = 1
GCF(340,238) x common factors =34 x 1 = 34
LCM(340,238) = ( 340 × 238 ) / 34
LCM(340,238) = 80920 / 34
LCM(340,238) = 2380
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FAQs on GCF of Fractions of 3961/340, 3782/238
1. What is the HCF of 3961,3782?
The HCF of 3961,3782 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 3961/340, 3782/238?
Answer: GCF of Numerators as per given numbers 3961/340, 3782/238 is
GCF of Numerators i.e. for 3961,3782 is 1
LCM of denominators i.e. for 340,238 is 2380.
Thus, GCF of Fractions is 1/2380.Finally, GCF of Fractions for 3961/340, 3782/238 is 1/2380.