GCF of 2511/584, 9694/8949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2511/584, 9694/8949 i.e 1/5226216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2511/584, 9694/8949.
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 2511/584,9694/8949?
Given fractions are 2511/584,9694/8949
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 2511/584,9694/8949, numerators are 2511,9694
Denominators are 584,8949
The GCF of 2511,9694 is 1 .
LCM of 584,8949 is 5226216.
The greatest common factor of 2511/584,9694/8949 = [GCF of 2511,9694]/[LCM of 584,8949]= 1/5226216
Therefore, the GCF of 2511/584,9694/8949 is 1/5226216.
To find the highest common factor of 2511,9694, we have to find the factors of both numbers and list the highest common factor.
The factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511
The factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694
The HCF of 2511,9694 is 1.
Lets's calculate GCF of 2511,9694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2511,9694 By Matching Biggest Common Factor Method
Now, list down the factors of 2511
:1,3,9,27,31,81,93,279,837,2511
Now, list down the factors of 9694
:1,2,37,74,131,262,4847,9694
Greatest Common Factor
We found the factors 2511,9694 . The biggest common factor number is the GCF number.
So the greatest common factor 2511,9694 is 1.
Lets's calculate LCM of 584,8949
Given numbers has no common factors except 1. So, there LCM is their product i.e 5226216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5226216
Therefore, the GCF of Fractions 2511/584,9694/8949 is 1/5226216
Least Common Multiple of 584,8949 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 584,8949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,8949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,8949) x common factors =1 x 1 = 1
LCM(584,8949) = ( 584 × 8949 ) / 1
LCM(584,8949) = 5226216 / 1
LCM(584,8949) = 5226216
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2511/584, 9694/8949
1. What is the HCF of 2511,9694?
The HCF of 2511,9694 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 2511/584, 9694/8949?
Answer: GCF of Numerators as per given numbers 2511/584, 9694/8949 is
GCF of Numerators i.e. for 2511,9694 is 1
LCM of denominators i.e. for 584,8949 is 5226216.
Thus, GCF of Fractions is 1/5226216.Finally, GCF of Fractions for 2511/584, 9694/8949 is 1/5226216.