GCF of 1353/948, 5457/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1353/948, 5457/718 i.e 3/340332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1353/948, 5457/718.
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 1353/948,5457/718?
Given fractions are 1353/948,5457/718
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 1353/948,5457/718, numerators are 1353,5457
Denominators are 948,718
The GCF of 1353,5457 is 3 .
LCM of 948,718 is 340332.
The greatest common factor of 1353/948,5457/718 = [GCF of 1353,5457]/[LCM of 948,718]= 3/340332
Therefore, the GCF of 1353/948,5457/718 is 3/340332.
To find the highest common factor of 1353,5457, 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 5457 are 1, 3, 17, 51, 107, 321, 1819, 5457
The HCF of 1353,5457 is 3.
Lets's calculate GCF of 1353,5457
| 3 | 1353, 5457 |
| 451, 1819 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1353,5457 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 5457
:1,3,17,51,107,321,1819,5457
Greatest Common Factor
We found the factors 1353,5457 . The biggest common factor number is the GCF number.
So the greatest common factor 1353,5457 is 3.
Lets's calculate LCM of 948,718
| 2 | 948, 718 |
| 474, 359 |
∴ So the LCM of the given numbers is 2 x 474 x 359 = 340332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/340332
Therefore, the GCF of Fractions 1353/948,5457/718 is 3/340332
Least Common Multiple of 948,718 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 948,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(948,718) x common factors =2 x 1 = 2
LCM(948,718) = ( 948 × 718 ) / 2
LCM(948,718) = 680664 / 2
LCM(948,718) = 340332
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FAQs on GCF of Fractions of 1353/948, 5457/718
1. What is the HCF of 1353,5457?
The HCF of 1353,5457 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 1353/948, 5457/718?
Answer: GCF of Numerators as per given numbers 1353/948, 5457/718 is
GCF of Numerators i.e. for 1353,5457 is 3
LCM of denominators i.e. for 948,718 is 340332.
Thus, GCF of Fractions is 3/340332.Finally, GCF of Fractions for 1353/948, 5457/718 is 3/340332.