GCF of 4585/969, 6293/8190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4585/969, 6293/8190 i.e 7/2645370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4585/969, 6293/8190.
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 4585/969,6293/8190?
Given fractions are 4585/969,6293/8190
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 4585/969,6293/8190, numerators are 4585,6293
Denominators are 969,8190
The GCF of 4585,6293 is 7 .
LCM of 969,8190 is 2645370.
The greatest common factor of 4585/969,6293/8190 = [GCF of 4585,6293]/[LCM of 969,8190]= 7/2645370
Therefore, the GCF of 4585/969,6293/8190 is 7/2645370.
To find the highest common factor of 4585,6293, we have to find the factors of both numbers and list the highest common factor.
The factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585
The factors of 6293 are 1, 7, 29, 31, 203, 217, 899, 6293
The HCF of 4585,6293 is 7.
Lets's calculate GCF of 4585,6293
| 7 | 4585, 6293 |
| 655, 899 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4585,6293 By Matching Biggest Common Factor Method
Now, list down the factors of 4585
:1,5,7,35,131,655,917,4585
Now, list down the factors of 6293
:1,7,29,31,203,217,899,6293
Greatest Common Factor
We found the factors 4585,6293 . The biggest common factor number is the GCF number.
So the greatest common factor 4585,6293 is 7.
Lets's calculate LCM of 969,8190
| 3 | 969, 8190 |
| 323, 2730 |
∴ So the LCM of the given numbers is 3 x 323 x 2730 = 2645370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2645370
Therefore, the GCF of Fractions 4585/969,6293/8190 is 7/2645370
Least Common Multiple of 969,8190 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 969,8190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,8190) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,8190) x common factors =3 x 1 = 3
LCM(969,8190) = ( 969 × 8190 ) / 3
LCM(969,8190) = 7936110 / 3
LCM(969,8190) = 2645370
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FAQs on GCF of Fractions of 4585/969, 6293/8190
1. What is the HCF of 4585,6293?
The HCF of 4585,6293 is 7
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 4585/969, 6293/8190?
Answer: GCF of Numerators as per given numbers 4585/969, 6293/8190 is
GCF of Numerators i.e. for 4585,6293 is 7
LCM of denominators i.e. for 969,8190 is 2645370.
Thus, GCF of Fractions is 7/2645370.Finally, GCF of Fractions for 4585/969, 6293/8190 is 7/2645370.