GCF of 1053/408, 2756/1912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1053/408, 2756/1912 i.e 13/97512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1053/408, 2756/1912.
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 1053/408,2756/1912?
Given fractions are 1053/408,2756/1912
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 1053/408,2756/1912, numerators are 1053,2756
Denominators are 408,1912
The GCF of 1053,2756 is 13 .
LCM of 408,1912 is 97512.
The greatest common factor of 1053/408,2756/1912 = [GCF of 1053,2756]/[LCM of 408,1912]= 13/97512
Therefore, the GCF of 1053/408,2756/1912 is 13/97512.
To find the highest common factor of 1053,2756, we have to find the factors of both numbers and list the highest common factor.
The factors of 1053 are 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053
The factors of 2756 are 1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756
The HCF of 1053,2756 is 13.
Lets's calculate GCF of 1053,2756
| 13 | 1053, 2756 |
| 81, 212 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 1053,2756 By Matching Biggest Common Factor Method
Now, list down the factors of 1053
:1,3,9,13,27,39,81,117,351,1053
Now, list down the factors of 2756
:1,2,4,13,26,52,53,106,212,689,1378,2756
Greatest Common Factor
We found the factors 1053,2756 . The biggest common factor number is the GCF number.
So the greatest common factor 1053,2756 is 13.
Lets's calculate LCM of 408,1912
| 2 | 408, 1912 |
| 2 | 204, 956 |
| 2 | 102, 478 |
| 51, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 51 x 239 = 97512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/97512
Therefore, the GCF of Fractions 1053/408,2756/1912 is 13/97512
Least Common Multiple of 408,1912 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 408,1912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,1912) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(408,1912) x common factors =8 x 1 = 8
LCM(408,1912) = ( 408 × 1912 ) / 8
LCM(408,1912) = 780096 / 8
LCM(408,1912) = 97512
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FAQs on GCF of Fractions of 1053/408, 2756/1912
1. What is the HCF of 1053,2756?
The HCF of 1053,2756 is 13
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 1053/408, 2756/1912?
Answer: GCF of Numerators as per given numbers 1053/408, 2756/1912 is
GCF of Numerators i.e. for 1053,2756 is 13
LCM of denominators i.e. for 408,1912 is 97512.
Thus, GCF of Fractions is 13/97512.Finally, GCF of Fractions for 1053/408, 2756/1912 is 13/97512.