GCF of 5031/225, 8724/6349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5031/225, 8724/6349 i.e 3/1428525 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5031/225, 8724/6349.
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 5031/225,8724/6349?
Given fractions are 5031/225,8724/6349
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 5031/225,8724/6349, numerators are 5031,8724
Denominators are 225,6349
The GCF of 5031,8724 is 3 .
LCM of 225,6349 is 1428525.
The greatest common factor of 5031/225,8724/6349 = [GCF of 5031,8724]/[LCM of 225,6349]= 3/1428525
Therefore, the GCF of 5031/225,8724/6349 is 3/1428525.
To find the highest common factor of 5031,8724, we have to find the factors of both numbers and list the highest common factor.
The factors of 5031 are 1, 3, 9, 13, 39, 43, 117, 129, 387, 559, 1677, 5031
The factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724
The HCF of 5031,8724 is 3.
Lets's calculate GCF of 5031,8724
| 3 | 5031, 8724 |
| 1677, 2908 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5031,8724 By Matching Biggest Common Factor Method
Now, list down the factors of 5031
:1,3,9,13,39,43,117,129,387,559,1677,5031
Now, list down the factors of 8724
:1,2,3,4,6,12,727,1454,2181,2908,4362,8724
Greatest Common Factor
We found the factors 5031,8724 . The biggest common factor number is the GCF number.
So the greatest common factor 5031,8724 is 3.
Lets's calculate LCM of 225,6349
Given numbers has no common factors except 1. So, there LCM is their product i.e 1428525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1428525
Therefore, the GCF of Fractions 5031/225,8724/6349 is 3/1428525
Least Common Multiple of 225,6349 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 225,6349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,6349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(225,6349) x common factors =1 x 1 = 1
LCM(225,6349) = ( 225 × 6349 ) / 1
LCM(225,6349) = 1428525 / 1
LCM(225,6349) = 1428525
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FAQs on GCF of Fractions of 5031/225, 8724/6349
1. What is the HCF of 5031,8724?
The HCF of 5031,8724 is 3
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 5031/225, 8724/6349?
Answer: GCF of Numerators as per given numbers 5031/225, 8724/6349 is
GCF of Numerators i.e. for 5031,8724 is 3
LCM of denominators i.e. for 225,6349 is 1428525.
Thus, GCF of Fractions is 3/1428525.Finally, GCF of Fractions for 5031/225, 8724/6349 is 3/1428525.