GCF of 1566/311, 2156/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1566/311, 2156/794 i.e 2/246934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1566/311, 2156/794.
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 1566/311,2156/794?
Given fractions are 1566/311,2156/794
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 1566/311,2156/794, numerators are 1566,2156
Denominators are 311,794
The GCF of 1566,2156 is 2 .
LCM of 311,794 is 246934.
The greatest common factor of 1566/311,2156/794 = [GCF of 1566,2156]/[LCM of 311,794]= 2/246934
Therefore, the GCF of 1566/311,2156/794 is 2/246934.
To find the highest common factor of 1566,2156, we have to find the factors of both numbers and list the highest common factor.
The factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The HCF of 1566,2156 is 2.
Lets's calculate GCF of 1566,2156
| 2 | 1566, 2156 |
| 783, 1078 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1566,2156 By Matching Biggest Common Factor Method
Now, list down the factors of 1566
:1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566
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
Greatest Common Factor
We found the factors 1566,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 1566,2156 is 2.
Lets's calculate LCM of 311,794
Given numbers has no common factors except 1. So, there LCM is their product i.e 246934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/246934
Therefore, the GCF of Fractions 1566/311,2156/794 is 2/246934
Least Common Multiple of 311,794 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 311,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,794) x common factors =1 x 1 = 1
LCM(311,794) = ( 311 × 794 ) / 1
LCM(311,794) = 246934 / 1
LCM(311,794) = 246934
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FAQs on GCF of Fractions of 1566/311, 2156/794
1. What is the HCF of 1566,2156?
The HCF of 1566,2156 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 1566/311, 2156/794?
Answer: GCF of Numerators as per given numbers 1566/311, 2156/794 is
GCF of Numerators i.e. for 1566,2156 is 2
LCM of denominators i.e. for 311,794 is 246934.
Thus, GCF of Fractions is 2/246934.Finally, GCF of Fractions for 1566/311, 2156/794 is 2/246934.