Use our free GCF of Fractions Calculator tool to compute the GCF of 890/592, 8272/9280 i.e 2/343360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/592, 8272/9280.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 890/592,8272/9280
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 890/592,8272/9280, numerators are 890,8272
Denominators are 592,9280
The GCF of 890,8272 is 2 .
LCM of 592,9280 is 343360.
The greatest common factor of 890/592,8272/9280 = [GCF of 890,8272]/[LCM of 592,9280]= 2/343360
Therefore, the GCF of 890/592,8272/9280 is 2/343360.
To find the highest common factor of 890,8272, we have to find the factors of both numbers and list the highest common factor.
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272
The HCF of 890,8272 is 2.
Lets's calculate GCF of 890,8272
2 | 890, 8272 |
445, 4136 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Now, list down the factors of 8272
:1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272
Greatest Common Factor
We found the factors 890,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 890,8272 is 2.
Lets's calculate LCM of 592,9280
2 | 592, 9280 |
2 | 296, 4640 |
2 | 148, 2320 |
2 | 74, 1160 |
37, 580 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 37 x 580 = 343360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/343360
Therefore, the GCF of Fractions 890/592,8272/9280 is 2/343360
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 592,9280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,9280) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(592,9280) x common factors =16 x 1 = 16
LCM(592,9280) = ( 592 × 9280 ) / 16
LCM(592,9280) = 5493760 / 16
LCM(592,9280) = 343360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 890,8272?
The HCF of 890,8272 is 2
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 890/592, 8272/9280?
Answer: GCF of Numerators as per given numbers 890/592, 8272/9280 is
GCF of Numerators i.e. for 890,8272 is 2
LCM of denominators i.e. for 592,9280 is 343360.
Thus, GCF of Fractions is 2/343360.Finally, GCF of Fractions for 890/592, 8272/9280 is 2/343360.