Use our free GCF of Fractions Calculator tool to compute the GCF of 256/909, 442/781 i.e 2/709929 easily. The following is the detailed procedure to determine the greatest common factor of fractions 256/909, 442/781.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 256/909,442/781
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 256/909,442/781, numerators are 256,442
Denominators are 909,781
The GCF of 256,442 is 2 .
LCM of 909,781 is 709929.
The greatest common factor of 256/909,442/781 = [GCF of 256,442]/[LCM of 909,781]= 2/709929
Therefore, the GCF of 256/909,442/781 is 2/709929.
To find the highest common factor of 256,442, we have to find the factors of both numbers and list the highest common factor.
The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The HCF of 256,442 is 2.
Lets's calculate GCF of 256,442
2 | 256, 442 |
128, 221 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 256
:1,2,4,8,16,32,64,128,256
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 256,442 . The biggest common factor number is the GCF number.
So the greatest common factor 256,442 is 2.
Lets's calculate LCM of 909,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 709929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/709929
Therefore, the GCF of Fractions 256/909,442/781 is 2/709929
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 909,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,781) x common factors =1 x 1 = 1
LCM(909,781) = ( 909 × 781 ) / 1
LCM(909,781) = 709929 / 1
LCM(909,781) = 709929
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 256,442?
The HCF of 256,442 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 256/909, 442/781?
Answer: GCF of Numerators as per given numbers 256/909, 442/781 is
GCF of Numerators i.e. for 256,442 is 2
LCM of denominators i.e. for 909,781 is 709929.
Thus, GCF of Fractions is 2/709929.Finally, GCF of Fractions for 256/909, 442/781 is 2/709929.