Use our free GCF of Fractions Calculator tool to compute the GCF of 6456/263, 9440/7071 i.e 8/1859673 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6456/263, 9440/7071.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6456/263,9440/7071
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 6456/263,9440/7071, numerators are 6456,9440
Denominators are 263,7071
The GCF of 6456,9440 is 8 .
LCM of 263,7071 is 1859673.
The greatest common factor of 6456/263,9440/7071 = [GCF of 6456,9440]/[LCM of 263,7071]= 8/1859673
Therefore, the GCF of 6456/263,9440/7071 is 8/1859673.
To find the highest common factor of 6456,9440, we have to find the factors of both numbers and list the highest common factor.
The factors of 6456 are 1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456
The factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440
The HCF of 6456,9440 is 8.
Lets's calculate GCF of 6456,9440
2 | 6456, 9440 |
2 | 3228, 4720 |
2 | 1614, 2360 |
807, 1180 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 6456
:1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456
Now, list down the factors of 9440
:1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440
Greatest Common Factor
We found the factors 6456,9440 . The biggest common factor number is the GCF number.
So the greatest common factor 6456,9440 is 8.
Lets's calculate LCM of 263,7071
Given numbers has no common factors except 1. So, there LCM is their product i.e 1859673
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1859673
Therefore, the GCF of Fractions 6456/263,9440/7071 is 8/1859673
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 263,7071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,7071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,7071) x common factors =1 x 1 = 1
LCM(263,7071) = ( 263 × 7071 ) / 1
LCM(263,7071) = 1859673 / 1
LCM(263,7071) = 1859673
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6456,9440?
The HCF of 6456,9440 is 8
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 6456/263, 9440/7071?
Answer: GCF of Numerators as per given numbers 6456/263, 9440/7071 is
GCF of Numerators i.e. for 6456,9440 is 8
LCM of denominators i.e. for 263,7071 is 1859673.
Thus, GCF of Fractions is 8/1859673.Finally, GCF of Fractions for 6456/263, 9440/7071 is 8/1859673.