GCF of 373/106, 197/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 373/106, 197/384 i.e 1/20352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/106, 197/384.
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 373/106,197/384?
Given fractions are 373/106,197/384
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 373/106,197/384, numerators are 373,197
Denominators are 106,384
The GCF of 373,197 is 1 .
LCM of 106,384 is 20352.
The greatest common factor of 373/106,197/384 = [GCF of 373,197]/[LCM of 106,384]= 1/20352
Therefore, the GCF of 373/106,197/384 is 1/20352.
To find the highest common factor of 373,197, we have to find the factors of both numbers and list the highest common factor.
The factors of 373 are 1, 373
The factors of 197 are 1, 197
The HCF of 373,197 is 1.
Lets's calculate GCF of 373,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 373,197 By Matching Biggest Common Factor Method
Now, list down the factors of 373
:1,373
Now, list down the factors of 197
:1,197
Greatest Common Factor
We found the factors 373,197 . The biggest common factor number is the GCF number.
So the greatest common factor 373,197 is 1.
Lets's calculate LCM of 106,384
| 2 | 106, 384 |
| 53, 192 |
∴ So the LCM of the given numbers is 2 x 53 x 192 = 20352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20352
Therefore, the GCF of Fractions 373/106,197/384 is 1/20352
Least Common Multiple of 106,384 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 106,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(106,384) x common factors =2 x 1 = 2
LCM(106,384) = ( 106 × 384 ) / 2
LCM(106,384) = 40704 / 2
LCM(106,384) = 20352
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FAQs on GCF of Fractions of 373/106, 197/384
1. What is the HCF of 373,197?
The HCF of 373,197 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 373/106, 197/384?
Answer: GCF of Numerators as per given numbers 373/106, 197/384 is
GCF of Numerators i.e. for 373,197 is 1
LCM of denominators i.e. for 106,384 is 20352.
Thus, GCF of Fractions is 1/20352.Finally, GCF of Fractions for 373/106, 197/384 is 1/20352.