GCF of 8889/656, 2724/6551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8889/656, 2724/6551 i.e 3/4297456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8889/656, 2724/6551.
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 8889/656,2724/6551?
Given fractions are 8889/656,2724/6551
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 8889/656,2724/6551, numerators are 8889,2724
Denominators are 656,6551
The GCF of 8889,2724 is 3 .
LCM of 656,6551 is 4297456.
The greatest common factor of 8889/656,2724/6551 = [GCF of 8889,2724]/[LCM of 656,6551]= 3/4297456
Therefore, the GCF of 8889/656,2724/6551 is 3/4297456.
To find the highest common factor of 8889,2724, we have to find the factors of both numbers and list the highest common factor.
The factors of 8889 are 1, 3, 2963, 8889
The factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724
The HCF of 8889,2724 is 3.
Lets's calculate GCF of 8889,2724
| 3 | 8889, 2724 |
| 2963, 908 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8889,2724 By Matching Biggest Common Factor Method
Now, list down the factors of 8889
:1,3,2963,8889
Now, list down the factors of 2724
:1,2,3,4,6,12,227,454,681,908,1362,2724
Greatest Common Factor
We found the factors 8889,2724 . The biggest common factor number is the GCF number.
So the greatest common factor 8889,2724 is 3.
Lets's calculate LCM of 656,6551
Given numbers has no common factors except 1. So, there LCM is their product i.e 4297456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4297456
Therefore, the GCF of Fractions 8889/656,2724/6551 is 3/4297456
Least Common Multiple of 656,6551 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 656,6551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,6551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,6551) x common factors =1 x 1 = 1
LCM(656,6551) = ( 656 × 6551 ) / 1
LCM(656,6551) = 4297456 / 1
LCM(656,6551) = 4297456
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8889/656, 2724/6551
1. What is the HCF of 8889,2724?
The HCF of 8889,2724 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 8889/656, 2724/6551?
Answer: GCF of Numerators as per given numbers 8889/656, 2724/6551 is
GCF of Numerators i.e. for 8889,2724 is 3
LCM of denominators i.e. for 656,6551 is 4297456.
Thus, GCF of Fractions is 3/4297456.Finally, GCF of Fractions for 8889/656, 2724/6551 is 3/4297456.