GCF of 3781/603, 3406/5934
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3781/603, 3406/5934 i.e 1/1192734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3781/603, 3406/5934.
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 3781/603,3406/5934?
Given fractions are 3781/603,3406/5934
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 3781/603,3406/5934, numerators are 3781,3406
Denominators are 603,5934
The GCF of 3781,3406 is 1 .
LCM of 603,5934 is 1192734.
The greatest common factor of 3781/603,3406/5934 = [GCF of 3781,3406]/[LCM of 603,5934]= 1/1192734
Therefore, the GCF of 3781/603,3406/5934 is 1/1192734.
To find the highest common factor of 3781,3406, we have to find the factors of both numbers and list the highest common factor.
The factors of 3781 are 1, 19, 199, 3781
The factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406
The HCF of 3781,3406 is 1.
Lets's calculate GCF of 3781,3406
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3781,3406 By Matching Biggest Common Factor Method
Now, list down the factors of 3781
:1,19,199,3781
Now, list down the factors of 3406
:1,2,13,26,131,262,1703,3406
Greatest Common Factor
We found the factors 3781,3406 . The biggest common factor number is the GCF number.
So the greatest common factor 3781,3406 is 1.
Lets's calculate LCM of 603,5934
| 3 | 603, 5934 |
| 201, 1978 |
∴ So the LCM of the given numbers is 3 x 201 x 1978 = 1192734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1192734
Therefore, the GCF of Fractions 3781/603,3406/5934 is 1/1192734
Least Common Multiple of 603,5934 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 603,5934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,5934) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,5934) x common factors =3 x 1 = 3
LCM(603,5934) = ( 603 × 5934 ) / 3
LCM(603,5934) = 3578202 / 3
LCM(603,5934) = 1192734
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FAQs on GCF of Fractions of 3781/603, 3406/5934
1. What is the HCF of 3781,3406?
The HCF of 3781,3406 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 3781/603, 3406/5934?
Answer: GCF of Numerators as per given numbers 3781/603, 3406/5934 is
GCF of Numerators i.e. for 3781,3406 is 1
LCM of denominators i.e. for 603,5934 is 1192734.
Thus, GCF of Fractions is 1/1192734.Finally, GCF of Fractions for 3781/603, 3406/5934 is 1/1192734.