GCF of 8297/530, 3090/3545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8297/530, 3090/3545 i.e 1/375770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8297/530, 3090/3545.
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 8297/530,3090/3545?
Given fractions are 8297/530,3090/3545
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 8297/530,3090/3545, numerators are 8297,3090
Denominators are 530,3545
The GCF of 8297,3090 is 1 .
LCM of 530,3545 is 375770.
The greatest common factor of 8297/530,3090/3545 = [GCF of 8297,3090]/[LCM of 530,3545]= 1/375770
Therefore, the GCF of 8297/530,3090/3545 is 1/375770.
To find the highest common factor of 8297,3090, we have to find the factors of both numbers and list the highest common factor.
The factors of 8297 are 1, 8297
The factors of 3090 are 1, 2, 3, 5, 6, 10, 15, 30, 103, 206, 309, 515, 618, 1030, 1545, 3090
The HCF of 8297,3090 is 1.
Lets's calculate GCF of 8297,3090
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8297,3090 By Matching Biggest Common Factor Method
Now, list down the factors of 8297
:1,8297
Now, list down the factors of 3090
:1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090
Greatest Common Factor
We found the factors 8297,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 8297,3090 is 1.
Lets's calculate LCM of 530,3545
| 5 | 530, 3545 |
| 106, 709 |
∴ So the LCM of the given numbers is 5 x 106 x 709 = 375770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375770
Therefore, the GCF of Fractions 8297/530,3090/3545 is 1/375770
Least Common Multiple of 530,3545 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 530,3545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,3545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(530,3545) x common factors =5 x 1 = 5
LCM(530,3545) = ( 530 × 3545 ) / 5
LCM(530,3545) = 1878850 / 5
LCM(530,3545) = 375770
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FAQs on GCF of Fractions of 8297/530, 3090/3545
1. What is the HCF of 8297,3090?
The HCF of 8297,3090 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 8297/530, 3090/3545?
Answer: GCF of Numerators as per given numbers 8297/530, 3090/3545 is
GCF of Numerators i.e. for 8297,3090 is 1
LCM of denominators i.e. for 530,3545 is 375770.
Thus, GCF of Fractions is 1/375770.Finally, GCF of Fractions for 8297/530, 3090/3545 is 1/375770.