Use our free GCF of Fractions Calculator tool to compute the GCF of 641/562, 435/962 i.e 1/270322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/562, 435/962.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 641/562,435/962
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 641/562,435/962, numerators are 641,435
Denominators are 562,962
The GCF of 641,435 is 1 .
LCM of 562,962 is 270322.
The greatest common factor of 641/562,435/962 = [GCF of 641,435]/[LCM of 562,962]= 1/270322
Therefore, the GCF of 641/562,435/962 is 1/270322.
To find the highest common factor of 641,435, we have to find the factors of both numbers and list the highest common factor.
The factors of 641 are 1, 641
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The HCF of 641,435 is 1.
Lets's calculate GCF of 641,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 641
:1,641
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 641,435 . The biggest common factor number is the GCF number.
So the greatest common factor 641,435 is 1.
Lets's calculate LCM of 562,962
2 | 562, 962 |
281, 481 |
∴ So the LCM of the given numbers is 2 x 281 x 481 = 270322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270322
Therefore, the GCF of Fractions 641/562,435/962 is 1/270322
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 562,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,962) x common factors =2 x 1 = 2
LCM(562,962) = ( 562 × 962 ) / 2
LCM(562,962) = 540644 / 2
LCM(562,962) = 270322
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 641,435?
The HCF of 641,435 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 641/562, 435/962?
Answer: GCF of Numerators as per given numbers 641/562, 435/962 is
GCF of Numerators i.e. for 641,435 is 1
LCM of denominators i.e. for 562,962 is 270322.
Thus, GCF of Fractions is 1/270322.Finally, GCF of Fractions for 641/562, 435/962 is 1/270322.