Use our free GCF of Fractions Calculator tool to compute the GCF of 2447/901, 4956/5909 i.e 1/5324009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2447/901, 4956/5909.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2447/901,4956/5909
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 2447/901,4956/5909, numerators are 2447,4956
Denominators are 901,5909
The GCF of 2447,4956 is 1 .
LCM of 901,5909 is 5324009.
The greatest common factor of 2447/901,4956/5909 = [GCF of 2447,4956]/[LCM of 901,5909]= 1/5324009
Therefore, the GCF of 2447/901,4956/5909 is 1/5324009.
To find the highest common factor of 2447,4956, we have to find the factors of both numbers and list the highest common factor.
The factors of 2447 are 1, 2447
The factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956
The HCF of 2447,4956 is 1.
Lets's calculate GCF of 2447,4956
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2447
:1,2447
Now, list down the factors of 4956
:1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956
Greatest Common Factor
We found the factors 2447,4956 . The biggest common factor number is the GCF number.
So the greatest common factor 2447,4956 is 1.
Lets's calculate LCM of 901,5909
Given numbers has no common factors except 1. So, there LCM is their product i.e 5324009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5324009
Therefore, the GCF of Fractions 2447/901,4956/5909 is 1/5324009
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 901,5909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,5909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,5909) x common factors =1 x 1 = 1
LCM(901,5909) = ( 901 × 5909 ) / 1
LCM(901,5909) = 5324009 / 1
LCM(901,5909) = 5324009
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2447,4956?
The HCF of 2447,4956 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 2447/901, 4956/5909?
Answer: GCF of Numerators as per given numbers 2447/901, 4956/5909 is
GCF of Numerators i.e. for 2447,4956 is 1
LCM of denominators i.e. for 901,5909 is 5324009.
Thus, GCF of Fractions is 1/5324009.Finally, GCF of Fractions for 2447/901, 4956/5909 is 1/5324009.