Use our free GCF of Fractions Calculator tool to compute the GCF of 896/560, 269/733 i.e 1/410480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/560, 269/733.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 896/560,269/733
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 896/560,269/733, numerators are 896,269
Denominators are 560,733
The GCF of 896,269 is 1 .
LCM of 560,733 is 410480.
The greatest common factor of 896/560,269/733 = [GCF of 896,269]/[LCM of 560,733]= 1/410480
Therefore, the GCF of 896/560,269/733 is 1/410480.
To find the highest common factor of 896,269, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 269 are 1, 269
The HCF of 896,269 is 1.
Lets's calculate GCF of 896,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 269
:1,269
Greatest Common Factor
We found the factors 896,269 . The biggest common factor number is the GCF number.
So the greatest common factor 896,269 is 1.
Lets's calculate LCM of 560,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 410480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410480
Therefore, the GCF of Fractions 896/560,269/733 is 1/410480
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 560,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,733) x common factors =1 x 1 = 1
LCM(560,733) = ( 560 × 733 ) / 1
LCM(560,733) = 410480 / 1
LCM(560,733) = 410480
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 896,269?
The HCF of 896,269 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 896/560, 269/733?
Answer: GCF of Numerators as per given numbers 896/560, 269/733 is
GCF of Numerators i.e. for 896,269 is 1
LCM of denominators i.e. for 560,733 is 410480.
Thus, GCF of Fractions is 1/410480.Finally, GCF of Fractions for 896/560, 269/733 is 1/410480.