GCF of 3666/156, 4941/3862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3666/156, 4941/3862 i.e 3/301236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3666/156, 4941/3862.
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 3666/156,4941/3862?
Given fractions are 3666/156,4941/3862
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 3666/156,4941/3862, numerators are 3666,4941
Denominators are 156,3862
The GCF of 3666,4941 is 3 .
LCM of 156,3862 is 301236.
The greatest common factor of 3666/156,4941/3862 = [GCF of 3666,4941]/[LCM of 156,3862]= 3/301236
Therefore, the GCF of 3666/156,4941/3862 is 3/301236.
To find the highest common factor of 3666,4941, we have to find the factors of both numbers and list the highest common factor.
The factors of 3666 are 1, 2, 3, 6, 13, 26, 39, 47, 78, 94, 141, 282, 611, 1222, 1833, 3666
The factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941
The HCF of 3666,4941 is 3.
Lets's calculate GCF of 3666,4941
| 3 | 3666, 4941 |
| 1222, 1647 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3666,4941 By Matching Biggest Common Factor Method
Now, list down the factors of 3666
:1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666
Now, list down the factors of 4941
:1,3,9,27,61,81,183,549,1647,4941
Greatest Common Factor
We found the factors 3666,4941 . The biggest common factor number is the GCF number.
So the greatest common factor 3666,4941 is 3.
Lets's calculate LCM of 156,3862
| 2 | 156, 3862 |
| 78, 1931 |
∴ So the LCM of the given numbers is 2 x 78 x 1931 = 301236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/301236
Therefore, the GCF of Fractions 3666/156,4941/3862 is 3/301236
Least Common Multiple of 156,3862 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 156,3862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,3862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,3862) x common factors =2 x 1 = 2
LCM(156,3862) = ( 156 × 3862 ) / 2
LCM(156,3862) = 602472 / 2
LCM(156,3862) = 301236
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FAQs on GCF of Fractions of 3666/156, 4941/3862
1. What is the HCF of 3666,4941?
The HCF of 3666,4941 is 3
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 3666/156, 4941/3862?
Answer: GCF of Numerators as per given numbers 3666/156, 4941/3862 is
GCF of Numerators i.e. for 3666,4941 is 3
LCM of denominators i.e. for 156,3862 is 301236.
Thus, GCF of Fractions is 3/301236.Finally, GCF of Fractions for 3666/156, 4941/3862 is 3/301236.