GCF of 1106/166, 7985/1984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1106/166, 7985/1984 i.e 1/164672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1106/166, 7985/1984.
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 1106/166,7985/1984?
Given fractions are 1106/166,7985/1984
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 1106/166,7985/1984, numerators are 1106,7985
Denominators are 166,1984
The GCF of 1106,7985 is 1 .
LCM of 166,1984 is 164672.
The greatest common factor of 1106/166,7985/1984 = [GCF of 1106,7985]/[LCM of 166,1984]= 1/164672
Therefore, the GCF of 1106/166,7985/1984 is 1/164672.
To find the highest common factor of 1106,7985, we have to find the factors of both numbers and list the highest common factor.
The factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106
The factors of 7985 are 1, 5, 1597, 7985
The HCF of 1106,7985 is 1.
Lets's calculate GCF of 1106,7985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1106,7985 By Matching Biggest Common Factor Method
Now, list down the factors of 1106
:1,2,7,14,79,158,553,1106
Now, list down the factors of 7985
:1,5,1597,7985
Greatest Common Factor
We found the factors 1106,7985 . The biggest common factor number is the GCF number.
So the greatest common factor 1106,7985 is 1.
Lets's calculate LCM of 166,1984
| 2 | 166, 1984 |
| 83, 992 |
∴ So the LCM of the given numbers is 2 x 83 x 992 = 164672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164672
Therefore, the GCF of Fractions 1106/166,7985/1984 is 1/164672
Least Common Multiple of 166,1984 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 166,1984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,1984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,1984) x common factors =2 x 1 = 2
LCM(166,1984) = ( 166 × 1984 ) / 2
LCM(166,1984) = 329344 / 2
LCM(166,1984) = 164672
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FAQs on GCF of Fractions of 1106/166, 7985/1984
1. What is the HCF of 1106,7985?
The HCF of 1106,7985 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 1106/166, 7985/1984?
Answer: GCF of Numerators as per given numbers 1106/166, 7985/1984 is
GCF of Numerators i.e. for 1106,7985 is 1
LCM of denominators i.e. for 166,1984 is 164672.
Thus, GCF of Fractions is 1/164672.Finally, GCF of Fractions for 1106/166, 7985/1984 is 1/164672.