GCF of 7421/654, 5041/3000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7421/654, 5041/3000 i.e 1/327000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7421/654, 5041/3000.
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 7421/654,5041/3000?
Given fractions are 7421/654,5041/3000
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 7421/654,5041/3000, numerators are 7421,5041
Denominators are 654,3000
The GCF of 7421,5041 is 1 .
LCM of 654,3000 is 327000.
The greatest common factor of 7421/654,5041/3000 = [GCF of 7421,5041]/[LCM of 654,3000]= 1/327000
Therefore, the GCF of 7421/654,5041/3000 is 1/327000.
To find the highest common factor of 7421,5041, we have to find the factors of both numbers and list the highest common factor.
The factors of 7421 are 1, 41, 181, 7421
The factors of 5041 are 1, 71, 5041
The HCF of 7421,5041 is 1.
Lets's calculate GCF of 7421,5041
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7421,5041 By Matching Biggest Common Factor Method
Now, list down the factors of 7421
:1,41,181,7421
Now, list down the factors of 5041
:1,71,5041
Greatest Common Factor
We found the factors 7421,5041 . The biggest common factor number is the GCF number.
So the greatest common factor 7421,5041 is 1.
Lets's calculate LCM of 654,3000
| 2 | 654, 3000 |
| 3 | 327, 1500 |
| 109, 500 |
∴ So the LCM of the given numbers is 2 x 3 x 109 x 500 = 327000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327000
Therefore, the GCF of Fractions 7421/654,5041/3000 is 1/327000
Least Common Multiple of 654,3000 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 654,3000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,3000) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(654,3000) x common factors =6 x 1 = 6
LCM(654,3000) = ( 654 × 3000 ) / 6
LCM(654,3000) = 1962000 / 6
LCM(654,3000) = 327000
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FAQs on GCF of Fractions of 7421/654, 5041/3000
1. What is the HCF of 7421,5041?
The HCF of 7421,5041 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 7421/654, 5041/3000?
Answer: GCF of Numerators as per given numbers 7421/654, 5041/3000 is
GCF of Numerators i.e. for 7421,5041 is 1
LCM of denominators i.e. for 654,3000 is 327000.
Thus, GCF of Fractions is 1/327000.Finally, GCF of Fractions for 7421/654, 5041/3000 is 1/327000.