Use our free GCF of Fractions Calculator tool to compute the GCF of 763/195, 832/975 i.e 1/975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 763/195, 832/975.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 763/195,832/975
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 763/195,832/975, numerators are 763,832
Denominators are 195,975
The GCF of 763,832 is 1 .
LCM of 195,975 is 975.
The greatest common factor of 763/195,832/975 = [GCF of 763,832]/[LCM of 195,975]= 1/975
Therefore, the GCF of 763/195,832/975 is 1/975.
To find the highest common factor of 763,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 763 are 1, 7, 109, 763
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 763,832 is 1.
Lets's calculate GCF of 763,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 763
:1,7,109,763
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 763,832 . The biggest common factor number is the GCF number.
So the greatest common factor 763,832 is 1.
Lets's calculate LCM of 195,975
3 | 195, 975 |
5 | 65, 325 |
13 | 13, 65 |
1, 5 |
∴ So the LCM of the given numbers is 3 x 5 x 13 x 1 x 5 = 975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975
Therefore, the GCF of Fractions 763/195,832/975 is 1/975
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 195,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(195,975) = 195
common factors(in case of two or more numbers have common factors) = 1
GCF(195,975) x common factors =195 x 1 = 195
LCM(195,975) = ( 195 × 975 ) / 195
LCM(195,975) = 190125 / 195
LCM(195,975) = 975
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 763,832?
The HCF of 763,832 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 763/195, 832/975?
Answer: GCF of Numerators as per given numbers 763/195, 832/975 is
GCF of Numerators i.e. for 763,832 is 1
LCM of denominators i.e. for 195,975 is 975.
Thus, GCF of Fractions is 1/975.Finally, GCF of Fractions for 763/195, 832/975 is 1/975.