Use our free GCF of Fractions Calculator tool to compute the GCF of 961/839, 363/391 i.e 1/328049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/839, 363/391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 961/839,363/391
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 961/839,363/391, numerators are 961,363
Denominators are 839,391
The GCF of 961,363 is 1 .
LCM of 839,391 is 328049.
The greatest common factor of 961/839,363/391 = [GCF of 961,363]/[LCM of 839,391]= 1/328049
Therefore, the GCF of 961/839,363/391 is 1/328049.
To find the highest common factor of 961,363, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 363 are 1, 3, 11, 33, 121, 363
The HCF of 961,363 is 1.
Lets's calculate GCF of 961,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 363
:1,3,11,33,121,363
Greatest Common Factor
We found the factors 961,363 . The biggest common factor number is the GCF number.
So the greatest common factor 961,363 is 1.
Lets's calculate LCM of 839,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 328049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328049
Therefore, the GCF of Fractions 961/839,363/391 is 1/328049
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 839,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,391) x common factors =1 x 1 = 1
LCM(839,391) = ( 839 × 391 ) / 1
LCM(839,391) = 328049 / 1
LCM(839,391) = 328049
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 961,363?
The HCF of 961,363 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 961/839, 363/391?
Answer: GCF of Numerators as per given numbers 961/839, 363/391 is
GCF of Numerators i.e. for 961,363 is 1
LCM of denominators i.e. for 839,391 is 328049.
Thus, GCF of Fractions is 1/328049.Finally, GCF of Fractions for 961/839, 363/391 is 1/328049.