GCF of 1263/461, 9564/849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1263/461, 9564/849 i.e 3/391389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1263/461, 9564/849.
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 1263/461,9564/849?
Given fractions are 1263/461,9564/849
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 1263/461,9564/849, numerators are 1263,9564
Denominators are 461,849
The GCF of 1263,9564 is 3 .
LCM of 461,849 is 391389.
The greatest common factor of 1263/461,9564/849 = [GCF of 1263,9564]/[LCM of 461,849]= 3/391389
Therefore, the GCF of 1263/461,9564/849 is 3/391389.
To find the highest common factor of 1263,9564, we have to find the factors of both numbers and list the highest common factor.
The factors of 1263 are 1, 3, 421, 1263
The factors of 9564 are 1, 2, 3, 4, 6, 12, 797, 1594, 2391, 3188, 4782, 9564
The HCF of 1263,9564 is 3.
Lets's calculate GCF of 1263,9564
| 3 | 1263, 9564 |
| 421, 3188 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1263,9564 By Matching Biggest Common Factor Method
Now, list down the factors of 1263
:1,3,421,1263
Now, list down the factors of 9564
:1,2,3,4,6,12,797,1594,2391,3188,4782,9564
Greatest Common Factor
We found the factors 1263,9564 . The biggest common factor number is the GCF number.
So the greatest common factor 1263,9564 is 3.
Lets's calculate LCM of 461,849
Given numbers has no common factors except 1. So, there LCM is their product i.e 391389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/391389
Therefore, the GCF of Fractions 1263/461,9564/849 is 3/391389
Least Common Multiple of 461,849 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 461,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,849) x common factors =1 x 1 = 1
LCM(461,849) = ( 461 × 849 ) / 1
LCM(461,849) = 391389 / 1
LCM(461,849) = 391389
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1263/461, 9564/849
1. What is the HCF of 1263,9564?
The HCF of 1263,9564 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 1263/461, 9564/849?
Answer: GCF of Numerators as per given numbers 1263/461, 9564/849 is
GCF of Numerators i.e. for 1263,9564 is 3
LCM of denominators i.e. for 461,849 is 391389.
Thus, GCF of Fractions is 3/391389.Finally, GCF of Fractions for 1263/461, 9564/849 is 3/391389.