GCF of 5089/544, 1048/6138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5089/544, 1048/6138 i.e 1/1669536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5089/544, 1048/6138.
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 5089/544,1048/6138?
Given fractions are 5089/544,1048/6138
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 5089/544,1048/6138, numerators are 5089,1048
Denominators are 544,6138
The GCF of 5089,1048 is 1 .
LCM of 544,6138 is 1669536.
The greatest common factor of 5089/544,1048/6138 = [GCF of 5089,1048]/[LCM of 544,6138]= 1/1669536
Therefore, the GCF of 5089/544,1048/6138 is 1/1669536.
To find the highest common factor of 5089,1048, we have to find the factors of both numbers and list the highest common factor.
The factors of 5089 are 1, 7, 727, 5089
The factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048
The HCF of 5089,1048 is 1.
Lets's calculate GCF of 5089,1048
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5089,1048 By Matching Biggest Common Factor Method
Now, list down the factors of 5089
:1,7,727,5089
Now, list down the factors of 1048
:1,2,4,8,131,262,524,1048
Greatest Common Factor
We found the factors 5089,1048 . The biggest common factor number is the GCF number.
So the greatest common factor 5089,1048 is 1.
Lets's calculate LCM of 544,6138
| 2 | 544, 6138 |
| 272, 3069 |
∴ So the LCM of the given numbers is 2 x 272 x 3069 = 1669536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1669536
Therefore, the GCF of Fractions 5089/544,1048/6138 is 1/1669536
Least Common Multiple of 544,6138 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 544,6138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,6138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,6138) x common factors =2 x 1 = 2
LCM(544,6138) = ( 544 × 6138 ) / 2
LCM(544,6138) = 3339072 / 2
LCM(544,6138) = 1669536
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FAQs on GCF of Fractions of 5089/544, 1048/6138
1. What is the HCF of 5089,1048?
The HCF of 5089,1048 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 5089/544, 1048/6138?
Answer: GCF of Numerators as per given numbers 5089/544, 1048/6138 is
GCF of Numerators i.e. for 5089,1048 is 1
LCM of denominators i.e. for 544,6138 is 1669536.
Thus, GCF of Fractions is 1/1669536.Finally, GCF of Fractions for 5089/544, 1048/6138 is 1/1669536.