GCF of 9363/605, 5418/6790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9363/605, 5418/6790 i.e 3/821590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9363/605, 5418/6790.
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 9363/605,5418/6790?
Given fractions are 9363/605,5418/6790
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 9363/605,5418/6790, numerators are 9363,5418
Denominators are 605,6790
The GCF of 9363,5418 is 3 .
LCM of 605,6790 is 821590.
The greatest common factor of 9363/605,5418/6790 = [GCF of 9363,5418]/[LCM of 605,6790]= 3/821590
Therefore, the GCF of 9363/605,5418/6790 is 3/821590.
To find the highest common factor of 9363,5418, we have to find the factors of both numbers and list the highest common factor.
The factors of 9363 are 1, 3, 3121, 9363
The factors of 5418 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 43, 63, 86, 126, 129, 258, 301, 387, 602, 774, 903, 1806, 2709, 5418
The HCF of 9363,5418 is 3.
Lets's calculate GCF of 9363,5418
| 3 | 9363, 5418 |
| 3121, 1806 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9363,5418 By Matching Biggest Common Factor Method
Now, list down the factors of 9363
:1,3,3121,9363
Now, list down the factors of 5418
:1,2,3,6,7,9,14,18,21,42,43,63,86,126,129,258,301,387,602,774,903,1806,2709,5418
Greatest Common Factor
We found the factors 9363,5418 . The biggest common factor number is the GCF number.
So the greatest common factor 9363,5418 is 3.
Lets's calculate LCM of 605,6790
| 5 | 605, 6790 |
| 121, 1358 |
∴ So the LCM of the given numbers is 5 x 121 x 1358 = 821590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/821590
Therefore, the GCF of Fractions 9363/605,5418/6790 is 3/821590
Least Common Multiple of 605,6790 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 605,6790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,6790) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,6790) x common factors =5 x 1 = 5
LCM(605,6790) = ( 605 × 6790 ) / 5
LCM(605,6790) = 4107950 / 5
LCM(605,6790) = 821590
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FAQs on GCF of Fractions of 9363/605, 5418/6790
1. What is the HCF of 9363,5418?
The HCF of 9363,5418 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 9363/605, 5418/6790?
Answer: GCF of Numerators as per given numbers 9363/605, 5418/6790 is
GCF of Numerators i.e. for 9363,5418 is 3
LCM of denominators i.e. for 605,6790 is 821590.
Thus, GCF of Fractions is 3/821590.Finally, GCF of Fractions for 9363/605, 5418/6790 is 3/821590.