Use our free GCF of Fractions Calculator tool to compute the GCF of 379/593, 962/841 i.e 1/498713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/593, 962/841.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 379/593,962/841
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 379/593,962/841, numerators are 379,962
Denominators are 593,841
The GCF of 379,962 is 1 .
LCM of 593,841 is 498713.
The greatest common factor of 379/593,962/841 = [GCF of 379,962]/[LCM of 593,841]= 1/498713
Therefore, the GCF of 379/593,962/841 is 1/498713.
To find the highest common factor of 379,962, we have to find the factors of both numbers and list the highest common factor.
The factors of 379 are 1, 379
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 379,962 is 1.
Lets's calculate GCF of 379,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 379
:1,379
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 379,962 . The biggest common factor number is the GCF number.
So the greatest common factor 379,962 is 1.
Lets's calculate LCM of 593,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 498713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/498713
Therefore, the GCF of Fractions 379/593,962/841 is 1/498713
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 593,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,841) x common factors =1 x 1 = 1
LCM(593,841) = ( 593 × 841 ) / 1
LCM(593,841) = 498713 / 1
LCM(593,841) = 498713
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 379,962?
The HCF of 379,962 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 379/593, 962/841?
Answer: GCF of Numerators as per given numbers 379/593, 962/841 is
GCF of Numerators i.e. for 379,962 is 1
LCM of denominators i.e. for 593,841 is 498713.
Thus, GCF of Fractions is 1/498713.Finally, GCF of Fractions for 379/593, 962/841 is 1/498713.