GCF of 197/122, 8914/320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 197/122, 8914/320 i.e 1/19520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/122, 8914/320.
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 197/122,8914/320?
Given fractions are 197/122,8914/320
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 197/122,8914/320, numerators are 197,8914
Denominators are 122,320
The GCF of 197,8914 is 1 .
LCM of 122,320 is 19520.
The greatest common factor of 197/122,8914/320 = [GCF of 197,8914]/[LCM of 122,320]= 1/19520
Therefore, the GCF of 197/122,8914/320 is 1/19520.
To find the highest common factor of 197,8914, we have to find the factors of both numbers and list the highest common factor.
The factors of 197 are 1, 197
The factors of 8914 are 1, 2, 4457, 8914
The HCF of 197,8914 is 1.
Lets's calculate GCF of 197,8914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 197,8914 By Matching Biggest Common Factor Method
Now, list down the factors of 197
:1,197
Now, list down the factors of 8914
:1,2,4457,8914
Greatest Common Factor
We found the factors 197,8914 . The biggest common factor number is the GCF number.
So the greatest common factor 197,8914 is 1.
Lets's calculate LCM of 122,320
| 2 | 122, 320 |
| 61, 160 |
∴ So the LCM of the given numbers is 2 x 61 x 160 = 19520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19520
Therefore, the GCF of Fractions 197/122,8914/320 is 1/19520
Least Common Multiple of 122,320 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 122,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,320) x common factors =2 x 1 = 2
LCM(122,320) = ( 122 × 320 ) / 2
LCM(122,320) = 39040 / 2
LCM(122,320) = 19520
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FAQs on GCF of Fractions of 197/122, 8914/320
1. What is the HCF of 197,8914?
The HCF of 197,8914 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 197/122, 8914/320?
Answer: GCF of Numerators as per given numbers 197/122, 8914/320 is
GCF of Numerators i.e. for 197,8914 is 1
LCM of denominators i.e. for 122,320 is 19520.
Thus, GCF of Fractions is 1/19520.Finally, GCF of Fractions for 197/122, 8914/320 is 1/19520.