Use our free GCF of Fractions Calculator tool to compute the GCF of 475/841, 350/721 i.e 25/606361 easily. The following is the detailed procedure to determine the greatest common factor of fractions 475/841, 350/721.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 475/841,350/721
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 475/841,350/721, numerators are 475,350
Denominators are 841,721
The GCF of 475,350 is 25 .
LCM of 841,721 is 606361.
The greatest common factor of 475/841,350/721 = [GCF of 475,350]/[LCM of 841,721]= 25/606361
Therefore, the GCF of 475/841,350/721 is 25/606361.
To find the highest common factor of 475,350, we have to find the factors of both numbers and list the highest common factor.
The factors of 475 are 1, 5, 19, 25, 95, 475
The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
The HCF of 475,350 is 25.
Lets's calculate GCF of 475,350
5 | 475, 350 |
5 | 95, 70 |
19, 14 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 475
:1,5,19,25,95,475
Now, list down the factors of 350
:1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 475,350 . The biggest common factor number is the GCF number.
So the greatest common factor 475,350 is 25.
Lets's calculate LCM of 841,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 606361
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/606361
Therefore, the GCF of Fractions 475/841,350/721 is 25/606361
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 841,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,721) x common factors =1 x 1 = 1
LCM(841,721) = ( 841 × 721 ) / 1
LCM(841,721) = 606361 / 1
LCM(841,721) = 606361
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 475,350?
The HCF of 475,350 is 25
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 475/841, 350/721?
Answer: GCF of Numerators as per given numbers 475/841, 350/721 is
GCF of Numerators i.e. for 475,350 is 25
LCM of denominators i.e. for 841,721 is 606361.
Thus, GCF of Fractions is 25/606361.Finally, GCF of Fractions for 475/841, 350/721 is 25/606361.