GCF of 2756/259, 9152/5109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2756/259, 9152/5109 i.e 52/1323231 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2756/259, 9152/5109.
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 2756/259,9152/5109?
Given fractions are 2756/259,9152/5109
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 2756/259,9152/5109, numerators are 2756,9152
Denominators are 259,5109
The GCF of 2756,9152 is 52 .
LCM of 259,5109 is 1323231.
The greatest common factor of 2756/259,9152/5109 = [GCF of 2756,9152]/[LCM of 259,5109]= 52/1323231
Therefore, the GCF of 2756/259,9152/5109 is 52/1323231.
To find the highest common factor of 2756,9152, we have to find the factors of both numbers and list the highest common factor.
The factors of 2756 are 1, 2, 4, 13, 26, 52, 53, 106, 212, 689, 1378, 2756
The factors of 9152 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576, 9152
The HCF of 2756,9152 is 52.
Lets's calculate GCF of 2756,9152
| 2 | 2756, 9152 |
| 2 | 1378, 4576 |
| 13 | 689, 2288 |
| 53, 176 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Greatest Common Factor of 2756,9152 By Matching Biggest Common Factor Method
Now, list down the factors of 2756
:1,2,4,13,26,52,53,106,212,689,1378,2756
Now, list down the factors of 9152
:1,2,4,8,11,13,16,22,26,32,44,52,64,88,104,143,176,208,286,352,416,572,704,832,1144,2288,4576,9152
Greatest Common Factor
We found the factors 2756,9152 . The biggest common factor number is the GCF number.
So the greatest common factor 2756,9152 is 52.
Lets's calculate LCM of 259,5109
Given numbers has no common factors except 1. So, there LCM is their product i.e 1323231
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/1323231
Therefore, the GCF of Fractions 2756/259,9152/5109 is 52/1323231
Least Common Multiple of 259,5109 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 259,5109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,5109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,5109) x common factors =1 x 1 = 1
LCM(259,5109) = ( 259 × 5109 ) / 1
LCM(259,5109) = 1323231 / 1
LCM(259,5109) = 1323231
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FAQs on GCF of Fractions of 2756/259, 9152/5109
1. What is the HCF of 2756,9152?
The HCF of 2756,9152 is 52
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 2756/259, 9152/5109?
Answer: GCF of Numerators as per given numbers 2756/259, 9152/5109 is
GCF of Numerators i.e. for 2756,9152 is 52
LCM of denominators i.e. for 259,5109 is 1323231.
Thus, GCF of Fractions is 52/1323231.Finally, GCF of Fractions for 2756/259, 9152/5109 is 52/1323231.