Use our free GCF of Fractions Calculator tool to compute the GCF of 635/153, 832/232 i.e 1/35496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/153, 832/232.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/153,832/232
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 635/153,832/232, numerators are 635,832
Denominators are 153,232
The GCF of 635,832 is 1 .
LCM of 153,232 is 35496.
The greatest common factor of 635/153,832/232 = [GCF of 635,832]/[LCM of 153,232]= 1/35496
Therefore, the GCF of 635/153,832/232 is 1/35496.
To find the highest common factor of 635,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 635 are 1, 5, 127, 635
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 635,832 is 1.
Lets's calculate GCF of 635,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 635
:1,5,127,635
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 635,832 . The biggest common factor number is the GCF number.
So the greatest common factor 635,832 is 1.
Lets's calculate LCM of 153,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 35496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35496
Therefore, the GCF of Fractions 635/153,832/232 is 1/35496
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 153,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,232) x common factors =1 x 1 = 1
LCM(153,232) = ( 153 × 232 ) / 1
LCM(153,232) = 35496 / 1
LCM(153,232) = 35496
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 635,832?
The HCF of 635,832 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 635/153, 832/232?
Answer: GCF of Numerators as per given numbers 635/153, 832/232 is
GCF of Numerators i.e. for 635,832 is 1
LCM of denominators i.e. for 153,232 is 35496.
Thus, GCF of Fractions is 1/35496.Finally, GCF of Fractions for 635/153, 832/232 is 1/35496.