GCF of 9168/137, 2138/1966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9168/137, 2138/1966 i.e 2/269342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9168/137, 2138/1966.
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 9168/137,2138/1966?
Given fractions are 9168/137,2138/1966
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 9168/137,2138/1966, numerators are 9168,2138
Denominators are 137,1966
The GCF of 9168,2138 is 2 .
LCM of 137,1966 is 269342.
The greatest common factor of 9168/137,2138/1966 = [GCF of 9168,2138]/[LCM of 137,1966]= 2/269342
Therefore, the GCF of 9168/137,2138/1966 is 2/269342.
To find the highest common factor of 9168,2138, we have to find the factors of both numbers and list the highest common factor.
The factors of 9168 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 191, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 9168
The factors of 2138 are 1, 2, 1069, 2138
The HCF of 9168,2138 is 2.
Lets's calculate GCF of 9168,2138
| 2 | 9168, 2138 |
| 4584, 1069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9168,2138 By Matching Biggest Common Factor Method
Now, list down the factors of 9168
:1,2,3,4,6,8,12,16,24,48,191,382,573,764,1146,1528,2292,3056,4584,9168
Now, list down the factors of 2138
:1,2,1069,2138
Greatest Common Factor
We found the factors 9168,2138 . The biggest common factor number is the GCF number.
So the greatest common factor 9168,2138 is 2.
Lets's calculate LCM of 137,1966
Given numbers has no common factors except 1. So, there LCM is their product i.e 269342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/269342
Therefore, the GCF of Fractions 9168/137,2138/1966 is 2/269342
Least Common Multiple of 137,1966 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 137,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,1966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,1966) x common factors =1 x 1 = 1
LCM(137,1966) = ( 137 × 1966 ) / 1
LCM(137,1966) = 269342 / 1
LCM(137,1966) = 269342
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FAQs on GCF of Fractions of 9168/137, 2138/1966
1. What is the HCF of 9168,2138?
The HCF of 9168,2138 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 9168/137, 2138/1966?
Answer: GCF of Numerators as per given numbers 9168/137, 2138/1966 is
GCF of Numerators i.e. for 9168,2138 is 2
LCM of denominators i.e. for 137,1966 is 269342.
Thus, GCF of Fractions is 2/269342.Finally, GCF of Fractions for 9168/137, 2138/1966 is 2/269342.