GCF of 5689/819, 6049/2790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5689/819, 6049/2790 i.e 1/253890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5689/819, 6049/2790.
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 5689/819,6049/2790?
Given fractions are 5689/819,6049/2790
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 5689/819,6049/2790, numerators are 5689,6049
Denominators are 819,2790
The GCF of 5689,6049 is 1 .
LCM of 819,2790 is 253890.
The greatest common factor of 5689/819,6049/2790 = [GCF of 5689,6049]/[LCM of 819,2790]= 1/253890
Therefore, the GCF of 5689/819,6049/2790 is 1/253890.
To find the highest common factor of 5689,6049, we have to find the factors of both numbers and list the highest common factor.
The factors of 5689 are 1, 5689
The factors of 6049 are 1, 23, 263, 6049
The HCF of 5689,6049 is 1.
Lets's calculate GCF of 5689,6049
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5689,6049 By Matching Biggest Common Factor Method
Now, list down the factors of 5689
:1,5689
Now, list down the factors of 6049
:1,23,263,6049
Greatest Common Factor
We found the factors 5689,6049 . The biggest common factor number is the GCF number.
So the greatest common factor 5689,6049 is 1.
Lets's calculate LCM of 819,2790
| 3 | 819, 2790 |
| 3 | 273, 930 |
| 91, 310 |
∴ So the LCM of the given numbers is 3 x 3 x 91 x 310 = 253890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253890
Therefore, the GCF of Fractions 5689/819,6049/2790 is 1/253890
Least Common Multiple of 819,2790 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 819,2790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,2790) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(819,2790) x common factors =9 x 1 = 9
LCM(819,2790) = ( 819 × 2790 ) / 9
LCM(819,2790) = 2285010 / 9
LCM(819,2790) = 253890
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FAQs on GCF of Fractions of 5689/819, 6049/2790
1. What is the HCF of 5689,6049?
The HCF of 5689,6049 is 1
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 5689/819, 6049/2790?
Answer: GCF of Numerators as per given numbers 5689/819, 6049/2790 is
GCF of Numerators i.e. for 5689,6049 is 1
LCM of denominators i.e. for 819,2790 is 253890.
Thus, GCF of Fractions is 1/253890.Finally, GCF of Fractions for 5689/819, 6049/2790 is 1/253890.