GCF of 3511/324, 8912/9774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3511/324, 8912/9774 i.e 1/58644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3511/324, 8912/9774.
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 3511/324,8912/9774?
Given fractions are 3511/324,8912/9774
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 3511/324,8912/9774, numerators are 3511,8912
Denominators are 324,9774
The GCF of 3511,8912 is 1 .
LCM of 324,9774 is 58644.
The greatest common factor of 3511/324,8912/9774 = [GCF of 3511,8912]/[LCM of 324,9774]= 1/58644
Therefore, the GCF of 3511/324,8912/9774 is 1/58644.
To find the highest common factor of 3511,8912, we have to find the factors of both numbers and list the highest common factor.
The factors of 3511 are 1, 3511
The factors of 8912 are 1, 2, 4, 8, 16, 557, 1114, 2228, 4456, 8912
The HCF of 3511,8912 is 1.
Lets's calculate GCF of 3511,8912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3511,8912 By Matching Biggest Common Factor Method
Now, list down the factors of 3511
:1,3511
Now, list down the factors of 8912
:1,2,4,8,16,557,1114,2228,4456,8912
Greatest Common Factor
We found the factors 3511,8912 . The biggest common factor number is the GCF number.
So the greatest common factor 3511,8912 is 1.
Lets's calculate LCM of 324,9774
| 2 | 324, 9774 |
| 3 | 162, 4887 |
| 3 | 54, 1629 |
| 3 | 18, 543 |
| 6, 181 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 6 x 181 = 58644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58644
Therefore, the GCF of Fractions 3511/324,8912/9774 is 1/58644
Least Common Multiple of 324,9774 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 324,9774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,9774) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(324,9774) x common factors =54 x 1 = 54
LCM(324,9774) = ( 324 × 9774 ) / 54
LCM(324,9774) = 3166776 / 54
LCM(324,9774) = 58644
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FAQs on GCF of Fractions of 3511/324, 8912/9774
1. What is the HCF of 3511,8912?
The HCF of 3511,8912 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 3511/324, 8912/9774?
Answer: GCF of Numerators as per given numbers 3511/324, 8912/9774 is
GCF of Numerators i.e. for 3511,8912 is 1
LCM of denominators i.e. for 324,9774 is 58644.
Thus, GCF of Fractions is 1/58644.Finally, GCF of Fractions for 3511/324, 8912/9774 is 1/58644.