Use our free GCF of Fractions Calculator tool to compute the GCF of 850/169, 745/349 i.e 5/58981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 850/169, 745/349.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 850/169,745/349
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 850/169,745/349, numerators are 850,745
Denominators are 169,349
The GCF of 850,745 is 5 .
LCM of 169,349 is 58981.
The greatest common factor of 850/169,745/349 = [GCF of 850,745]/[LCM of 169,349]= 5/58981
Therefore, the GCF of 850/169,745/349 is 5/58981.
To find the highest common factor of 850,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The factors of 745 are 1, 5, 149, 745
The HCF of 850,745 is 5.
Lets's calculate GCF of 850,745
5 | 850, 745 |
170, 149 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 850,745 . The biggest common factor number is the GCF number.
So the greatest common factor 850,745 is 5.
Lets's calculate LCM of 169,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 58981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/58981
Therefore, the GCF of Fractions 850/169,745/349 is 5/58981
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 169,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,349) x common factors =1 x 1 = 1
LCM(169,349) = ( 169 × 349 ) / 1
LCM(169,349) = 58981 / 1
LCM(169,349) = 58981
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 850,745?
The HCF of 850,745 is 5
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 850/169, 745/349?
Answer: GCF of Numerators as per given numbers 850/169, 745/349 is
GCF of Numerators i.e. for 850,745 is 5
LCM of denominators i.e. for 169,349 is 58981.
Thus, GCF of Fractions is 5/58981.Finally, GCF of Fractions for 850/169, 745/349 is 5/58981.