GCF of 3385/728, 9206/376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3385/728, 9206/376 i.e 1/34216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3385/728, 9206/376.
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 3385/728,9206/376?
Given fractions are 3385/728,9206/376
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 3385/728,9206/376, numerators are 3385,9206
Denominators are 728,376
The GCF of 3385,9206 is 1 .
LCM of 728,376 is 34216.
The greatest common factor of 3385/728,9206/376 = [GCF of 3385,9206]/[LCM of 728,376]= 1/34216
Therefore, the GCF of 3385/728,9206/376 is 1/34216.
To find the highest common factor of 3385,9206, we have to find the factors of both numbers and list the highest common factor.
The factors of 3385 are 1, 5, 677, 3385
The factors of 9206 are 1, 2, 4603, 9206
The HCF of 3385,9206 is 1.
Lets's calculate GCF of 3385,9206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3385,9206 By Matching Biggest Common Factor Method
Now, list down the factors of 3385
:1,5,677,3385
Now, list down the factors of 9206
:1,2,4603,9206
Greatest Common Factor
We found the factors 3385,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 3385,9206 is 1.
Lets's calculate LCM of 728,376
| 2 | 728, 376 |
| 2 | 364, 188 |
| 2 | 182, 94 |
| 91, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 91 x 47 = 34216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34216
Therefore, the GCF of Fractions 3385/728,9206/376 is 1/34216
Least Common Multiple of 728,376 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 728,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,376) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(728,376) x common factors =8 x 1 = 8
LCM(728,376) = ( 728 × 376 ) / 8
LCM(728,376) = 273728 / 8
LCM(728,376) = 34216
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FAQs on GCF of Fractions of 3385/728, 9206/376
1. What is the HCF of 3385,9206?
The HCF of 3385,9206 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 3385/728, 9206/376?
Answer: GCF of Numerators as per given numbers 3385/728, 9206/376 is
GCF of Numerators i.e. for 3385,9206 is 1
LCM of denominators i.e. for 728,376 is 34216.
Thus, GCF of Fractions is 1/34216.Finally, GCF of Fractions for 3385/728, 9206/376 is 1/34216.