Use our free GCF of Fractions Calculator tool to compute the GCF of 473/108, 779/952 i.e 1/25704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 473/108, 779/952.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 473/108,779/952
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 473/108,779/952, numerators are 473,779
Denominators are 108,952
The GCF of 473,779 is 1 .
LCM of 108,952 is 25704.
The greatest common factor of 473/108,779/952 = [GCF of 473,779]/[LCM of 108,952]= 1/25704
Therefore, the GCF of 473/108,779/952 is 1/25704.
To find the highest common factor of 473,779, we have to find the factors of both numbers and list the highest common factor.
The factors of 473 are 1, 11, 43, 473
The factors of 779 are 1, 19, 41, 779
The HCF of 473,779 is 1.
Lets's calculate GCF of 473,779
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 473
:1,11,43,473
Now, list down the factors of 779
:1,19,41,779
Greatest Common Factor
We found the factors 473,779 . The biggest common factor number is the GCF number.
So the greatest common factor 473,779 is 1.
Lets's calculate LCM of 108,952
2 | 108, 952 |
2 | 54, 476 |
27, 238 |
∴ So the LCM of the given numbers is 2 x 2 x 27 x 238 = 25704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25704
Therefore, the GCF of Fractions 473/108,779/952 is 1/25704
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 108,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,952) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(108,952) x common factors =4 x 1 = 4
LCM(108,952) = ( 108 × 952 ) / 4
LCM(108,952) = 102816 / 4
LCM(108,952) = 25704
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 473,779?
The HCF of 473,779 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 473/108, 779/952?
Answer: GCF of Numerators as per given numbers 473/108, 779/952 is
GCF of Numerators i.e. for 473,779 is 1
LCM of denominators i.e. for 108,952 is 25704.
Thus, GCF of Fractions is 1/25704.Finally, GCF of Fractions for 473/108, 779/952 is 1/25704.