GCF of 5439/786, 5160/2768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5439/786, 5160/2768 i.e 3/1087824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5439/786, 5160/2768.
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 5439/786,5160/2768?
Given fractions are 5439/786,5160/2768
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 5439/786,5160/2768, numerators are 5439,5160
Denominators are 786,2768
The GCF of 5439,5160 is 3 .
LCM of 786,2768 is 1087824.
The greatest common factor of 5439/786,5160/2768 = [GCF of 5439,5160]/[LCM of 786,2768]= 3/1087824
Therefore, the GCF of 5439/786,5160/2768 is 3/1087824.
To find the highest common factor of 5439,5160, we have to find the factors of both numbers and list the highest common factor.
The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439
The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160
The HCF of 5439,5160 is 3.
Lets's calculate GCF of 5439,5160
| 3 | 5439, 5160 |
| 1813, 1720 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5439,5160 By Matching Biggest Common Factor Method
Now, list down the factors of 5439
:1,3,7,21,37,49,111,147,259,777,1813,5439
Now, list down the factors of 5160
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 5439,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,5160 is 3.
Lets's calculate LCM of 786,2768
| 2 | 786, 2768 |
| 393, 1384 |
∴ So the LCM of the given numbers is 2 x 393 x 1384 = 1087824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1087824
Therefore, the GCF of Fractions 5439/786,5160/2768 is 3/1087824
Least Common Multiple of 786,2768 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 786,2768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,2768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,2768) x common factors =2 x 1 = 2
LCM(786,2768) = ( 786 × 2768 ) / 2
LCM(786,2768) = 2175648 / 2
LCM(786,2768) = 1087824
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FAQs on GCF of Fractions of 5439/786, 5160/2768
1. What is the HCF of 5439,5160?
The HCF of 5439,5160 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 5439/786, 5160/2768?
Answer: GCF of Numerators as per given numbers 5439/786, 5160/2768 is
GCF of Numerators i.e. for 5439,5160 is 3
LCM of denominators i.e. for 786,2768 is 1087824.
Thus, GCF of Fractions is 3/1087824.Finally, GCF of Fractions for 5439/786, 5160/2768 is 3/1087824.