Use our free GCF of Fractions Calculator tool to compute the GCF of 435/632, 661/159 i.e 1/100488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/632, 661/159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/632,661/159
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 435/632,661/159, numerators are 435,661
Denominators are 632,159
The GCF of 435,661 is 1 .
LCM of 632,159 is 100488.
The greatest common factor of 435/632,661/159 = [GCF of 435,661]/[LCM of 632,159]= 1/100488
Therefore, the GCF of 435/632,661/159 is 1/100488.
To find the highest common factor of 435,661, we have to find the factors of both numbers and list the highest common factor.
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The factors of 661 are 1, 661
The HCF of 435,661 is 1.
Lets's calculate GCF of 435,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Now, list down the factors of 661
:1,661
Greatest Common Factor
We found the factors 435,661 . The biggest common factor number is the GCF number.
So the greatest common factor 435,661 is 1.
Lets's calculate LCM of 632,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 100488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100488
Therefore, the GCF of Fractions 435/632,661/159 is 1/100488
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 632,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,159) x common factors =1 x 1 = 1
LCM(632,159) = ( 632 × 159 ) / 1
LCM(632,159) = 100488 / 1
LCM(632,159) = 100488
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 435,661?
The HCF of 435,661 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 435/632, 661/159?
Answer: GCF of Numerators as per given numbers 435/632, 661/159 is
GCF of Numerators i.e. for 435,661 is 1
LCM of denominators i.e. for 632,159 is 100488.
Thus, GCF of Fractions is 1/100488.Finally, GCF of Fractions for 435/632, 661/159 is 1/100488.