GCF of 9727/578, 3367/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9727/578, 3367/206 i.e 1/59534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9727/578, 3367/206.
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 9727/578,3367/206?
Given fractions are 9727/578,3367/206
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 9727/578,3367/206, numerators are 9727,3367
Denominators are 578,206
The GCF of 9727,3367 is 1 .
LCM of 578,206 is 59534.
The greatest common factor of 9727/578,3367/206 = [GCF of 9727,3367]/[LCM of 578,206]= 1/59534
Therefore, the GCF of 9727/578,3367/206 is 1/59534.
To find the highest common factor of 9727,3367, we have to find the factors of both numbers and list the highest common factor.
The factors of 9727 are 1, 71, 137, 9727
The factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367
The HCF of 9727,3367 is 1.
Lets's calculate GCF of 9727,3367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9727,3367 By Matching Biggest Common Factor Method
Now, list down the factors of 9727
:1,71,137,9727
Now, list down the factors of 3367
:1,7,13,37,91,259,481,3367
Greatest Common Factor
We found the factors 9727,3367 . The biggest common factor number is the GCF number.
So the greatest common factor 9727,3367 is 1.
Lets's calculate LCM of 578,206
| 2 | 578, 206 |
| 289, 103 |
∴ So the LCM of the given numbers is 2 x 289 x 103 = 59534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59534
Therefore, the GCF of Fractions 9727/578,3367/206 is 1/59534
Least Common Multiple of 578,206 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 578,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,206) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,206) x common factors =2 x 1 = 2
LCM(578,206) = ( 578 × 206 ) / 2
LCM(578,206) = 119068 / 2
LCM(578,206) = 59534
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FAQs on GCF of Fractions of 9727/578, 3367/206
1. What is the HCF of 9727,3367?
The HCF of 9727,3367 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 9727/578, 3367/206?
Answer: GCF of Numerators as per given numbers 9727/578, 3367/206 is
GCF of Numerators i.e. for 9727,3367 is 1
LCM of denominators i.e. for 578,206 is 59534.
Thus, GCF of Fractions is 1/59534.Finally, GCF of Fractions for 9727/578, 3367/206 is 1/59534.