GCF of 8491/585, 7435/6318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8491/585, 7435/6318 i.e 1/31590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8491/585, 7435/6318.
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 8491/585,7435/6318?
Given fractions are 8491/585,7435/6318
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 8491/585,7435/6318, numerators are 8491,7435
Denominators are 585,6318
The GCF of 8491,7435 is 1 .
LCM of 585,6318 is 31590.
The greatest common factor of 8491/585,7435/6318 = [GCF of 8491,7435]/[LCM of 585,6318]= 1/31590
Therefore, the GCF of 8491/585,7435/6318 is 1/31590.
To find the highest common factor of 8491,7435, we have to find the factors of both numbers and list the highest common factor.
The factors of 8491 are 1, 7, 1213, 8491
The factors of 7435 are 1, 5, 1487, 7435
The HCF of 8491,7435 is 1.
Lets's calculate GCF of 8491,7435
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8491,7435 By Matching Biggest Common Factor Method
Now, list down the factors of 8491
:1,7,1213,8491
Now, list down the factors of 7435
:1,5,1487,7435
Greatest Common Factor
We found the factors 8491,7435 . The biggest common factor number is the GCF number.
So the greatest common factor 8491,7435 is 1.
Lets's calculate LCM of 585,6318
| 3 | 585, 6318 |
| 3 | 195, 2106 |
| 13 | 65, 702 |
| 5, 54 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 5 x 54 = 31590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31590
Therefore, the GCF of Fractions 8491/585,7435/6318 is 1/31590
Least Common Multiple of 585,6318 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 585,6318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,6318) = 117
common factors(in case of two or more numbers have common factors) = 1
GCF(585,6318) x common factors =117 x 1 = 117
LCM(585,6318) = ( 585 × 6318 ) / 117
LCM(585,6318) = 3696030 / 117
LCM(585,6318) = 31590
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FAQs on GCF of Fractions of 8491/585, 7435/6318
1. What is the HCF of 8491,7435?
The HCF of 8491,7435 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 8491/585, 7435/6318?
Answer: GCF of Numerators as per given numbers 8491/585, 7435/6318 is
GCF of Numerators i.e. for 8491,7435 is 1
LCM of denominators i.e. for 585,6318 is 31590.
Thus, GCF of Fractions is 1/31590.Finally, GCF of Fractions for 8491/585, 7435/6318 is 1/31590.