Use our free GCF of Fractions Calculator tool to compute the GCF of 448/905, 981/754 i.e 1/682370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/905, 981/754.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/905,981/754
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 448/905,981/754, numerators are 448,981
Denominators are 905,754
The GCF of 448,981 is 1 .
LCM of 905,754 is 682370.
The greatest common factor of 448/905,981/754 = [GCF of 448,981]/[LCM of 905,754]= 1/682370
Therefore, the GCF of 448/905,981/754 is 1/682370.
To find the highest common factor of 448,981, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 981 are 1, 3, 9, 109, 327, 981
The HCF of 448,981 is 1.
Lets's calculate GCF of 448,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 981
:1,3,9,109,327,981
Greatest Common Factor
We found the factors 448,981 . The biggest common factor number is the GCF number.
So the greatest common factor 448,981 is 1.
Lets's calculate LCM of 905,754
Given numbers has no common factors except 1. So, there LCM is their product i.e 682370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682370
Therefore, the GCF of Fractions 448/905,981/754 is 1/682370
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 905,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,754) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,754) x common factors =1 x 1 = 1
LCM(905,754) = ( 905 × 754 ) / 1
LCM(905,754) = 682370 / 1
LCM(905,754) = 682370
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 448,981?
The HCF of 448,981 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 448/905, 981/754?
Answer: GCF of Numerators as per given numbers 448/905, 981/754 is
GCF of Numerators i.e. for 448,981 is 1
LCM of denominators i.e. for 905,754 is 682370.
Thus, GCF of Fractions is 1/682370.Finally, GCF of Fractions for 448/905, 981/754 is 1/682370.