GCF of 7427/504, 5254/6642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7427/504, 5254/6642 i.e 1/185976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7427/504, 5254/6642.
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 7427/504,5254/6642?
Given fractions are 7427/504,5254/6642
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 7427/504,5254/6642, numerators are 7427,5254
Denominators are 504,6642
The GCF of 7427,5254 is 1 .
LCM of 504,6642 is 185976.
The greatest common factor of 7427/504,5254/6642 = [GCF of 7427,5254]/[LCM of 504,6642]= 1/185976
Therefore, the GCF of 7427/504,5254/6642 is 1/185976.
To find the highest common factor of 7427,5254, we have to find the factors of both numbers and list the highest common factor.
The factors of 7427 are 1, 7, 1061, 7427
The factors of 5254 are 1, 2, 37, 71, 74, 142, 2627, 5254
The HCF of 7427,5254 is 1.
Lets's calculate GCF of 7427,5254
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7427,5254 By Matching Biggest Common Factor Method
Now, list down the factors of 7427
:1,7,1061,7427
Now, list down the factors of 5254
:1,2,37,71,74,142,2627,5254
Greatest Common Factor
We found the factors 7427,5254 . The biggest common factor number is the GCF number.
So the greatest common factor 7427,5254 is 1.
Lets's calculate LCM of 504,6642
| 2 | 504, 6642 |
| 3 | 252, 3321 |
| 3 | 84, 1107 |
| 28, 369 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 28 x 369 = 185976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185976
Therefore, the GCF of Fractions 7427/504,5254/6642 is 1/185976
Least Common Multiple of 504,6642 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 504,6642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,6642) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(504,6642) x common factors =18 x 1 = 18
LCM(504,6642) = ( 504 × 6642 ) / 18
LCM(504,6642) = 3347568 / 18
LCM(504,6642) = 185976
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7427/504, 5254/6642
1. What is the HCF of 7427,5254?
The HCF of 7427,5254 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 7427/504, 5254/6642?
Answer: GCF of Numerators as per given numbers 7427/504, 5254/6642 is
GCF of Numerators i.e. for 7427,5254 is 1
LCM of denominators i.e. for 504,6642 is 185976.
Thus, GCF of Fractions is 1/185976.Finally, GCF of Fractions for 7427/504, 5254/6642 is 1/185976.