GCF of 5494/680, 5048/2681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5494/680, 5048/2681 i.e 2/1823080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5494/680, 5048/2681.
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 5494/680,5048/2681?
Given fractions are 5494/680,5048/2681
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 5494/680,5048/2681, numerators are 5494,5048
Denominators are 680,2681
The GCF of 5494,5048 is 2 .
LCM of 680,2681 is 1823080.
The greatest common factor of 5494/680,5048/2681 = [GCF of 5494,5048]/[LCM of 680,2681]= 2/1823080
Therefore, the GCF of 5494/680,5048/2681 is 2/1823080.
To find the highest common factor of 5494,5048, we have to find the factors of both numbers and list the highest common factor.
The factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494
The factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048
The HCF of 5494,5048 is 2.
Lets's calculate GCF of 5494,5048
| 2 | 5494, 5048 |
| 2747, 2524 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5494,5048 By Matching Biggest Common Factor Method
Now, list down the factors of 5494
:1,2,41,67,82,134,2747,5494
Now, list down the factors of 5048
:1,2,4,8,631,1262,2524,5048
Greatest Common Factor
We found the factors 5494,5048 . The biggest common factor number is the GCF number.
So the greatest common factor 5494,5048 is 2.
Lets's calculate LCM of 680,2681
Given numbers has no common factors except 1. So, there LCM is their product i.e 1823080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1823080
Therefore, the GCF of Fractions 5494/680,5048/2681 is 2/1823080
Least Common Multiple of 680,2681 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 680,2681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,2681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,2681) x common factors =1 x 1 = 1
LCM(680,2681) = ( 680 × 2681 ) / 1
LCM(680,2681) = 1823080 / 1
LCM(680,2681) = 1823080
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FAQs on GCF of Fractions of 5494/680, 5048/2681
1. What is the HCF of 5494,5048?
The HCF of 5494,5048 is 2
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 5494/680, 5048/2681?
Answer: GCF of Numerators as per given numbers 5494/680, 5048/2681 is
GCF of Numerators i.e. for 5494,5048 is 2
LCM of denominators i.e. for 680,2681 is 1823080.
Thus, GCF of Fractions is 2/1823080.Finally, GCF of Fractions for 5494/680, 5048/2681 is 2/1823080.