Use our free GCF of Fractions Calculator tool to compute the GCF of 484/896, 977/932 i.e 1/208768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/896, 977/932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/896,977/932
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 484/896,977/932, numerators are 484,977
Denominators are 896,932
The GCF of 484,977 is 1 .
LCM of 896,932 is 208768.
The greatest common factor of 484/896,977/932 = [GCF of 484,977]/[LCM of 896,932]= 1/208768
Therefore, the GCF of 484/896,977/932 is 1/208768.
To find the highest common factor of 484,977, we have to find the factors of both numbers and list the highest common factor.
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The factors of 977 are 1, 977
The HCF of 484,977 is 1.
Lets's calculate GCF of 484,977
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Now, list down the factors of 977
:1,977
Greatest Common Factor
We found the factors 484,977 . The biggest common factor number is the GCF number.
So the greatest common factor 484,977 is 1.
Lets's calculate LCM of 896,932
2 | 896, 932 |
2 | 448, 466 |
224, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 224 x 233 = 208768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208768
Therefore, the GCF of Fractions 484/896,977/932 is 1/208768
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 896,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(896,932) x common factors =4 x 1 = 4
LCM(896,932) = ( 896 × 932 ) / 4
LCM(896,932) = 835072 / 4
LCM(896,932) = 208768
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 484,977?
The HCF of 484,977 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 484/896, 977/932?
Answer: GCF of Numerators as per given numbers 484/896, 977/932 is
GCF of Numerators i.e. for 484,977 is 1
LCM of denominators i.e. for 896,932 is 208768.
Thus, GCF of Fractions is 1/208768.Finally, GCF of Fractions for 484/896, 977/932 is 1/208768.