Use our free GCF of Fractions Calculator tool to compute the GCF of 9472/202, 4416/6460 i.e 64/652460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9472/202, 4416/6460.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9472/202,4416/6460
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 9472/202,4416/6460, numerators are 9472,4416
Denominators are 202,6460
The GCF of 9472,4416 is 64 .
LCM of 202,6460 is 652460.
The greatest common factor of 9472/202,4416/6460 = [GCF of 9472,4416]/[LCM of 202,6460]= 64/652460
Therefore, the GCF of 9472/202,4416/6460 is 64/652460.
To find the highest common factor of 9472,4416, we have to find the factors of both numbers and list the highest common factor.
The factors of 9472 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472
The factors of 4416 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 64, 69, 92, 96, 138, 184, 192, 276, 368, 552, 736, 1104, 1472, 2208, 4416
The HCF of 9472,4416 is 64.
Lets's calculate GCF of 9472,4416
2 | 9472, 4416 |
2 | 4736, 2208 |
2 | 2368, 1104 |
2 | 1184, 552 |
2 | 592, 276 |
2 | 296, 138 |
148, 69 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Now, list down the factors of 9472
:1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472
Now, list down the factors of 4416
:1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,138,184,192,276,368,552,736,1104,1472,2208,4416
Greatest Common Factor
We found the factors 9472,4416 . The biggest common factor number is the GCF number.
So the greatest common factor 9472,4416 is 64.
Lets's calculate LCM of 202,6460
2 | 202, 6460 |
101, 3230 |
∴ So the LCM of the given numbers is 2 x 101 x 3230 = 652460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/652460
Therefore, the GCF of Fractions 9472/202,4416/6460 is 64/652460
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 202,6460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,6460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,6460) x common factors =2 x 1 = 2
LCM(202,6460) = ( 202 × 6460 ) / 2
LCM(202,6460) = 1304920 / 2
LCM(202,6460) = 652460
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9472,4416?
The HCF of 9472,4416 is 64
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 9472/202, 4416/6460?
Answer: GCF of Numerators as per given numbers 9472/202, 4416/6460 is
GCF of Numerators i.e. for 9472,4416 is 64
LCM of denominators i.e. for 202,6460 is 652460.
Thus, GCF of Fractions is 64/652460.Finally, GCF of Fractions for 9472/202, 4416/6460 is 64/652460.