Use our free GCF of Fractions Calculator tool to compute the GCF of 2277/353, 2156/2644 i.e 11/933332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2277/353, 2156/2644.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2277/353,2156/2644
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 2277/353,2156/2644, numerators are 2277,2156
Denominators are 353,2644
The GCF of 2277,2156 is 11 .
LCM of 353,2644 is 933332.
The greatest common factor of 2277/353,2156/2644 = [GCF of 2277,2156]/[LCM of 353,2644]= 11/933332
Therefore, the GCF of 2277/353,2156/2644 is 11/933332.
To find the highest common factor of 2277,2156, we have to find the factors of both numbers and list the highest common factor.
The factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The HCF of 2277,2156 is 11.
Lets's calculate GCF of 2277,2156
11 | 2277, 2156 |
207, 196 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 2277
:1,3,9,11,23,33,69,99,207,253,759,2277
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors 2277,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 2277,2156 is 11.
Lets's calculate LCM of 353,2644
Given numbers has no common factors except 1. So, there LCM is their product i.e 933332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/933332
Therefore, the GCF of Fractions 2277/353,2156/2644 is 11/933332
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 353,2644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,2644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,2644) x common factors =1 x 1 = 1
LCM(353,2644) = ( 353 × 2644 ) / 1
LCM(353,2644) = 933332 / 1
LCM(353,2644) = 933332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2277,2156?
The HCF of 2277,2156 is 11
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 2277/353, 2156/2644?
Answer: GCF of Numerators as per given numbers 2277/353, 2156/2644 is
GCF of Numerators i.e. for 2277,2156 is 11
LCM of denominators i.e. for 353,2644 is 933332.
Thus, GCF of Fractions is 11/933332.Finally, GCF of Fractions for 2277/353, 2156/2644 is 11/933332.