GCF of 9113/927, 3066/1752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9113/927, 3066/1752 i.e 1/541368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9113/927, 3066/1752.
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 9113/927,3066/1752?
Given fractions are 9113/927,3066/1752
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 9113/927,3066/1752, numerators are 9113,3066
Denominators are 927,1752
The GCF of 9113,3066 is 1 .
LCM of 927,1752 is 541368.
The greatest common factor of 9113/927,3066/1752 = [GCF of 9113,3066]/[LCM of 927,1752]= 1/541368
Therefore, the GCF of 9113/927,3066/1752 is 1/541368.
To find the highest common factor of 9113,3066, we have to find the factors of both numbers and list the highest common factor.
The factors of 9113 are 1, 13, 701, 9113
The factors of 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The HCF of 9113,3066 is 1.
Lets's calculate GCF of 9113,3066
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9113,3066 By Matching Biggest Common Factor Method
Now, list down the factors of 9113
:1,13,701,9113
Now, list down the factors of 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Greatest Common Factor
We found the factors 9113,3066 . The biggest common factor number is the GCF number.
So the greatest common factor 9113,3066 is 1.
Lets's calculate LCM of 927,1752
| 3 | 927, 1752 |
| 309, 584 |
∴ So the LCM of the given numbers is 3 x 309 x 584 = 541368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/541368
Therefore, the GCF of Fractions 9113/927,3066/1752 is 1/541368
Least Common Multiple of 927,1752 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 927,1752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,1752) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,1752) x common factors =3 x 1 = 3
LCM(927,1752) = ( 927 × 1752 ) / 3
LCM(927,1752) = 1624104 / 3
LCM(927,1752) = 541368
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FAQs on GCF of Fractions of 9113/927, 3066/1752
1. What is the HCF of 9113,3066?
The HCF of 9113,3066 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 9113/927, 3066/1752?
Answer: GCF of Numerators as per given numbers 9113/927, 3066/1752 is
GCF of Numerators i.e. for 9113,3066 is 1
LCM of denominators i.e. for 927,1752 is 541368.
Thus, GCF of Fractions is 1/541368.Finally, GCF of Fractions for 9113/927, 3066/1752 is 1/541368.