GCF of 7643/451, 4839/5026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7643/451, 4839/5026 i.e 1/2266726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7643/451, 4839/5026.
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 7643/451,4839/5026?
Given fractions are 7643/451,4839/5026
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 7643/451,4839/5026, numerators are 7643,4839
Denominators are 451,5026
The GCF of 7643,4839 is 1 .
LCM of 451,5026 is 2266726.
The greatest common factor of 7643/451,4839/5026 = [GCF of 7643,4839]/[LCM of 451,5026]= 1/2266726
Therefore, the GCF of 7643/451,4839/5026 is 1/2266726.
To find the highest common factor of 7643,4839, we have to find the factors of both numbers and list the highest common factor.
The factors of 7643 are 1, 7643
The factors of 4839 are 1, 3, 1613, 4839
The HCF of 7643,4839 is 1.
Lets's calculate GCF of 7643,4839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7643,4839 By Matching Biggest Common Factor Method
Now, list down the factors of 7643
:1,7643
Now, list down the factors of 4839
:1,3,1613,4839
Greatest Common Factor
We found the factors 7643,4839 . The biggest common factor number is the GCF number.
So the greatest common factor 7643,4839 is 1.
Lets's calculate LCM of 451,5026
Given numbers has no common factors except 1. So, there LCM is their product i.e 2266726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2266726
Therefore, the GCF of Fractions 7643/451,4839/5026 is 1/2266726
Least Common Multiple of 451,5026 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 451,5026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,5026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,5026) x common factors =1 x 1 = 1
LCM(451,5026) = ( 451 × 5026 ) / 1
LCM(451,5026) = 2266726 / 1
LCM(451,5026) = 2266726
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7643/451, 4839/5026
1. What is the HCF of 7643,4839?
The HCF of 7643,4839 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 7643/451, 4839/5026?
Answer: GCF of Numerators as per given numbers 7643/451, 4839/5026 is
GCF of Numerators i.e. for 7643,4839 is 1
LCM of denominators i.e. for 451,5026 is 2266726.
Thus, GCF of Fractions is 1/2266726.Finally, GCF of Fractions for 7643/451, 4839/5026 is 1/2266726.