GCF of 6261/501, 5926/7416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6261/501, 5926/7416 i.e 1/1238472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6261/501, 5926/7416.
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 6261/501,5926/7416?
Given fractions are 6261/501,5926/7416
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 6261/501,5926/7416, numerators are 6261,5926
Denominators are 501,7416
The GCF of 6261,5926 is 1 .
LCM of 501,7416 is 1238472.
The greatest common factor of 6261/501,5926/7416 = [GCF of 6261,5926]/[LCM of 501,7416]= 1/1238472
Therefore, the GCF of 6261/501,5926/7416 is 1/1238472.
To find the highest common factor of 6261,5926, we have to find the factors of both numbers and list the highest common factor.
The factors of 6261 are 1, 3, 2087, 6261
The factors of 5926 are 1, 2, 2963, 5926
The HCF of 6261,5926 is 1.
Lets's calculate GCF of 6261,5926
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6261,5926 By Matching Biggest Common Factor Method
Now, list down the factors of 6261
:1,3,2087,6261
Now, list down the factors of 5926
:1,2,2963,5926
Greatest Common Factor
We found the factors 6261,5926 . The biggest common factor number is the GCF number.
So the greatest common factor 6261,5926 is 1.
Lets's calculate LCM of 501,7416
| 3 | 501, 7416 |
| 167, 2472 |
∴ So the LCM of the given numbers is 3 x 167 x 2472 = 1238472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1238472
Therefore, the GCF of Fractions 6261/501,5926/7416 is 1/1238472
Least Common Multiple of 501,7416 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 501,7416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,7416) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,7416) x common factors =3 x 1 = 3
LCM(501,7416) = ( 501 × 7416 ) / 3
LCM(501,7416) = 3715416 / 3
LCM(501,7416) = 1238472
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FAQs on GCF of Fractions of 6261/501, 5926/7416
1. What is the HCF of 6261,5926?
The HCF of 6261,5926 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 6261/501, 5926/7416?
Answer: GCF of Numerators as per given numbers 6261/501, 5926/7416 is
GCF of Numerators i.e. for 6261,5926 is 1
LCM of denominators i.e. for 501,7416 is 1238472.
Thus, GCF of Fractions is 1/1238472.Finally, GCF of Fractions for 6261/501, 5926/7416 is 1/1238472.