GCF of 1353/964, 9627/9276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1353/964, 9627/9276 i.e 3/2235516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1353/964, 9627/9276.
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 1353/964,9627/9276?
Given fractions are 1353/964,9627/9276
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 1353/964,9627/9276, numerators are 1353,9627
Denominators are 964,9276
The GCF of 1353,9627 is 3 .
LCM of 964,9276 is 2235516.
The greatest common factor of 1353/964,9627/9276 = [GCF of 1353,9627]/[LCM of 964,9276]= 3/2235516
Therefore, the GCF of 1353/964,9627/9276 is 3/2235516.
To find the highest common factor of 1353,9627, we have to find the factors of both numbers and list the highest common factor.
The factors of 1353 are 1, 3, 11, 33, 41, 123, 451, 1353
The factors of 9627 are 1, 3, 3209, 9627
The HCF of 1353,9627 is 3.
Lets's calculate GCF of 1353,9627
| 3 | 1353, 9627 |
| 451, 3209 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1353,9627 By Matching Biggest Common Factor Method
Now, list down the factors of 1353
:1,3,11,33,41,123,451,1353
Now, list down the factors of 9627
:1,3,3209,9627
Greatest Common Factor
We found the factors 1353,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 1353,9627 is 3.
Lets's calculate LCM of 964,9276
| 2 | 964, 9276 |
| 2 | 482, 4638 |
| 241, 2319 |
∴ So the LCM of the given numbers is 2 x 2 x 241 x 2319 = 2235516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2235516
Therefore, the GCF of Fractions 1353/964,9627/9276 is 3/2235516
Least Common Multiple of 964,9276 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 964,9276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,9276) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(964,9276) x common factors =4 x 1 = 4
LCM(964,9276) = ( 964 × 9276 ) / 4
LCM(964,9276) = 8942064 / 4
LCM(964,9276) = 2235516
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FAQs on GCF of Fractions of 1353/964, 9627/9276
1. What is the HCF of 1353,9627?
The HCF of 1353,9627 is 3
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 1353/964, 9627/9276?
Answer: GCF of Numerators as per given numbers 1353/964, 9627/9276 is
GCF of Numerators i.e. for 1353,9627 is 3
LCM of denominators i.e. for 964,9276 is 2235516.
Thus, GCF of Fractions is 3/2235516.Finally, GCF of Fractions for 1353/964, 9627/9276 is 3/2235516.