GCF of 6242/458, 7499/7756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6242/458, 7499/7756 i.e 1/1776124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6242/458, 7499/7756.
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 6242/458,7499/7756?
Given fractions are 6242/458,7499/7756
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 6242/458,7499/7756, numerators are 6242,7499
Denominators are 458,7756
The GCF of 6242,7499 is 1 .
LCM of 458,7756 is 1776124.
The greatest common factor of 6242/458,7499/7756 = [GCF of 6242,7499]/[LCM of 458,7756]= 1/1776124
Therefore, the GCF of 6242/458,7499/7756 is 1/1776124.
To find the highest common factor of 6242,7499, we have to find the factors of both numbers and list the highest common factor.
The factors of 6242 are 1, 2, 3121, 6242
The factors of 7499 are 1, 7499
The HCF of 6242,7499 is 1.
Lets's calculate GCF of 6242,7499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6242,7499 By Matching Biggest Common Factor Method
Now, list down the factors of 6242
:1,2,3121,6242
Now, list down the factors of 7499
:1,7499
Greatest Common Factor
We found the factors 6242,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 6242,7499 is 1.
Lets's calculate LCM of 458,7756
| 2 | 458, 7756 |
| 229, 3878 |
∴ So the LCM of the given numbers is 2 x 229 x 3878 = 1776124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1776124
Therefore, the GCF of Fractions 6242/458,7499/7756 is 1/1776124
Least Common Multiple of 458,7756 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 458,7756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(458,7756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(458,7756) x common factors =2 x 1 = 2
LCM(458,7756) = ( 458 × 7756 ) / 2
LCM(458,7756) = 3552248 / 2
LCM(458,7756) = 1776124
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FAQs on GCF of Fractions of 6242/458, 7499/7756
1. What is the HCF of 6242,7499?
The HCF of 6242,7499 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 6242/458, 7499/7756?
Answer: GCF of Numerators as per given numbers 6242/458, 7499/7756 is
GCF of Numerators i.e. for 6242,7499 is 1
LCM of denominators i.e. for 458,7756 is 1776124.
Thus, GCF of Fractions is 1/1776124.Finally, GCF of Fractions for 6242/458, 7499/7756 is 1/1776124.