GCF of 2156/105, 3147/1866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2156/105, 3147/1866 i.e 1/65310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2156/105, 3147/1866.
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 2156/105,3147/1866?
Given fractions are 2156/105,3147/1866
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 2156/105,3147/1866, numerators are 2156,3147
Denominators are 105,1866
The GCF of 2156,3147 is 1 .
LCM of 105,1866 is 65310.
The greatest common factor of 2156/105,3147/1866 = [GCF of 2156,3147]/[LCM of 105,1866]= 1/65310
Therefore, the GCF of 2156/105,3147/1866 is 1/65310.
To find the highest common factor of 2156,3147, we have to find the factors of both numbers and list the highest common factor.
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The factors of 3147 are 1, 3, 1049, 3147
The HCF of 2156,3147 is 1.
Lets's calculate GCF of 2156,3147
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2156,3147 By Matching Biggest Common Factor Method
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Now, list down the factors of 3147
:1,3,1049,3147
Greatest Common Factor
We found the factors 2156,3147 . The biggest common factor number is the GCF number.
So the greatest common factor 2156,3147 is 1.
Lets's calculate LCM of 105,1866
| 3 | 105, 1866 |
| 35, 622 |
∴ So the LCM of the given numbers is 3 x 35 x 622 = 65310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65310
Therefore, the GCF of Fractions 2156/105,3147/1866 is 1/65310
Least Common Multiple of 105,1866 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 105,1866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,1866) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(105,1866) x common factors =3 x 1 = 3
LCM(105,1866) = ( 105 × 1866 ) / 3
LCM(105,1866) = 195930 / 3
LCM(105,1866) = 65310
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FAQs on GCF of Fractions of 2156/105, 3147/1866
1. What is the HCF of 2156,3147?
The HCF of 2156,3147 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 2156/105, 3147/1866?
Answer: GCF of Numerators as per given numbers 2156/105, 3147/1866 is
GCF of Numerators i.e. for 2156,3147 is 1
LCM of denominators i.e. for 105,1866 is 65310.
Thus, GCF of Fractions is 1/65310.Finally, GCF of Fractions for 2156/105, 3147/1866 is 1/65310.