GCF of 4893/905, 9783/9087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4893/905, 9783/9087 i.e 3/8223735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4893/905, 9783/9087.
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 4893/905,9783/9087?
Given fractions are 4893/905,9783/9087
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 4893/905,9783/9087, numerators are 4893,9783
Denominators are 905,9087
The GCF of 4893,9783 is 3 .
LCM of 905,9087 is 8223735.
The greatest common factor of 4893/905,9783/9087 = [GCF of 4893,9783]/[LCM of 905,9087]= 3/8223735
Therefore, the GCF of 4893/905,9783/9087 is 3/8223735.
To find the highest common factor of 4893,9783, we have to find the factors of both numbers and list the highest common factor.
The factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893
The factors of 9783 are 1, 3, 9, 1087, 3261, 9783
The HCF of 4893,9783 is 3.
Lets's calculate GCF of 4893,9783
| 3 | 4893, 9783 |
| 1631, 3261 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4893,9783 By Matching Biggest Common Factor Method
Now, list down the factors of 4893
:1,3,7,21,233,699,1631,4893
Now, list down the factors of 9783
:1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 4893,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 4893,9783 is 3.
Lets's calculate LCM of 905,9087
Given numbers has no common factors except 1. So, there LCM is their product i.e 8223735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8223735
Therefore, the GCF of Fractions 4893/905,9783/9087 is 3/8223735
Least Common Multiple of 905,9087 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 905,9087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,9087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,9087) x common factors =1 x 1 = 1
LCM(905,9087) = ( 905 × 9087 ) / 1
LCM(905,9087) = 8223735 / 1
LCM(905,9087) = 8223735
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4893/905, 9783/9087
1. What is the HCF of 4893,9783?
The HCF of 4893,9783 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 4893/905, 9783/9087?
Answer: GCF of Numerators as per given numbers 4893/905, 9783/9087 is
GCF of Numerators i.e. for 4893,9783 is 3
LCM of denominators i.e. for 905,9087 is 8223735.
Thus, GCF of Fractions is 3/8223735.Finally, GCF of Fractions for 4893/905, 9783/9087 is 3/8223735.