GCF of 8744/506, 9031/6523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8744/506, 9031/6523 i.e 1/300058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8744/506, 9031/6523.
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 8744/506,9031/6523?
Given fractions are 8744/506,9031/6523
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 8744/506,9031/6523, numerators are 8744,9031
Denominators are 506,6523
The GCF of 8744,9031 is 1 .
LCM of 506,6523 is 300058.
The greatest common factor of 8744/506,9031/6523 = [GCF of 8744,9031]/[LCM of 506,6523]= 1/300058
Therefore, the GCF of 8744/506,9031/6523 is 1/300058.
To find the highest common factor of 8744,9031, we have to find the factors of both numbers and list the highest common factor.
The factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744
The factors of 9031 are 1, 11, 821, 9031
The HCF of 8744,9031 is 1.
Lets's calculate GCF of 8744,9031
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8744,9031 By Matching Biggest Common Factor Method
Now, list down the factors of 8744
:1,2,4,8,1093,2186,4372,8744
Now, list down the factors of 9031
:1,11,821,9031
Greatest Common Factor
We found the factors 8744,9031 . The biggest common factor number is the GCF number.
So the greatest common factor 8744,9031 is 1.
Lets's calculate LCM of 506,6523
| 11 | 506, 6523 |
| 46, 593 |
∴ So the LCM of the given numbers is 11 x 46 x 593 = 300058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300058
Therefore, the GCF of Fractions 8744/506,9031/6523 is 1/300058
Least Common Multiple of 506,6523 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 506,6523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,6523) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(506,6523) x common factors =11 x 1 = 11
LCM(506,6523) = ( 506 × 6523 ) / 11
LCM(506,6523) = 3300638 / 11
LCM(506,6523) = 300058
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FAQs on GCF of Fractions of 8744/506, 9031/6523
1. What is the HCF of 8744,9031?
The HCF of 8744,9031 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 8744/506, 9031/6523?
Answer: GCF of Numerators as per given numbers 8744/506, 9031/6523 is
GCF of Numerators i.e. for 8744,9031 is 1
LCM of denominators i.e. for 506,6523 is 300058.
Thus, GCF of Fractions is 1/300058.Finally, GCF of Fractions for 8744/506, 9031/6523 is 1/300058.