GCF of 5048/821, 7609/8517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5048/821, 7609/8517 i.e 1/6992457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5048/821, 7609/8517.
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 5048/821,7609/8517?
Given fractions are 5048/821,7609/8517
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 5048/821,7609/8517, numerators are 5048,7609
Denominators are 821,8517
The GCF of 5048,7609 is 1 .
LCM of 821,8517 is 6992457.
The greatest common factor of 5048/821,7609/8517 = [GCF of 5048,7609]/[LCM of 821,8517]= 1/6992457
Therefore, the GCF of 5048/821,7609/8517 is 1/6992457.
To find the highest common factor of 5048,7609, we have to find the factors of both numbers and list the highest common factor.
The factors of 5048 are 1, 2, 4, 8, 631, 1262, 2524, 5048
The factors of 7609 are 1, 7, 1087, 7609
The HCF of 5048,7609 is 1.
Lets's calculate GCF of 5048,7609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5048,7609 By Matching Biggest Common Factor Method
Now, list down the factors of 5048
:1,2,4,8,631,1262,2524,5048
Now, list down the factors of 7609
:1,7,1087,7609
Greatest Common Factor
We found the factors 5048,7609 . The biggest common factor number is the GCF number.
So the greatest common factor 5048,7609 is 1.
Lets's calculate LCM of 821,8517
Given numbers has no common factors except 1. So, there LCM is their product i.e 6992457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6992457
Therefore, the GCF of Fractions 5048/821,7609/8517 is 1/6992457
Least Common Multiple of 821,8517 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 821,8517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,8517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,8517) x common factors =1 x 1 = 1
LCM(821,8517) = ( 821 × 8517 ) / 1
LCM(821,8517) = 6992457 / 1
LCM(821,8517) = 6992457
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FAQs on GCF of Fractions of 5048/821, 7609/8517
1. What is the HCF of 5048,7609?
The HCF of 5048,7609 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 5048/821, 7609/8517?
Answer: GCF of Numerators as per given numbers 5048/821, 7609/8517 is
GCF of Numerators i.e. for 5048,7609 is 1
LCM of denominators i.e. for 821,8517 is 6992457.
Thus, GCF of Fractions is 1/6992457.Finally, GCF of Fractions for 5048/821, 7609/8517 is 1/6992457.