Use our free GCF of Fractions Calculator tool to compute the GCF of 835/847, 641/391 i.e 1/331177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/847, 641/391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/847,641/391
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 835/847,641/391, numerators are 835,641
Denominators are 847,391
The GCF of 835,641 is 1 .
LCM of 847,391 is 331177.
The greatest common factor of 835/847,641/391 = [GCF of 835,641]/[LCM of 847,391]= 1/331177
Therefore, the GCF of 835/847,641/391 is 1/331177.
To find the highest common factor of 835,641, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 641 are 1, 641
The HCF of 835,641 is 1.
Lets's calculate GCF of 835,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 641
:1,641
Greatest Common Factor
We found the factors 835,641 . The biggest common factor number is the GCF number.
So the greatest common factor 835,641 is 1.
Lets's calculate LCM of 847,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 331177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331177
Therefore, the GCF of Fractions 835/847,641/391 is 1/331177
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 847,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,391) x common factors =1 x 1 = 1
LCM(847,391) = ( 847 × 391 ) / 1
LCM(847,391) = 331177 / 1
LCM(847,391) = 331177
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 835,641?
The HCF of 835,641 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 835/847, 641/391?
Answer: GCF of Numerators as per given numbers 835/847, 641/391 is
GCF of Numerators i.e. for 835,641 is 1
LCM of denominators i.e. for 847,391 is 331177.
Thus, GCF of Fractions is 1/331177.Finally, GCF of Fractions for 835/847, 641/391 is 1/331177.