Use our free GCF of Fractions Calculator tool to compute the GCF of 1825/910, 7109/773 i.e 1/703430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1825/910, 7109/773.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1825/910,7109/773
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 1825/910,7109/773, numerators are 1825,7109
Denominators are 910,773
The GCF of 1825,7109 is 1 .
LCM of 910,773 is 703430.
The greatest common factor of 1825/910,7109/773 = [GCF of 1825,7109]/[LCM of 910,773]= 1/703430
Therefore, the GCF of 1825/910,7109/773 is 1/703430.
To find the highest common factor of 1825,7109, we have to find the factors of both numbers and list the highest common factor.
The factors of 1825 are 1, 5, 25, 73, 365, 1825
The factors of 7109 are 1, 7109
The HCF of 1825,7109 is 1.
Lets's calculate GCF of 1825,7109
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1825
:1,5,25,73,365,1825
Now, list down the factors of 7109
:1,7109
Greatest Common Factor
We found the factors 1825,7109 . The biggest common factor number is the GCF number.
So the greatest common factor 1825,7109 is 1.
Lets's calculate LCM of 910,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 703430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703430
Therefore, the GCF of Fractions 1825/910,7109/773 is 1/703430
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 910,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,773) x common factors =1 x 1 = 1
LCM(910,773) = ( 910 × 773 ) / 1
LCM(910,773) = 703430 / 1
LCM(910,773) = 703430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1825,7109?
The HCF of 1825,7109 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 1825/910, 7109/773?
Answer: GCF of Numerators as per given numbers 1825/910, 7109/773 is
GCF of Numerators i.e. for 1825,7109 is 1
LCM of denominators i.e. for 910,773 is 703430.
Thus, GCF of Fractions is 1/703430.Finally, GCF of Fractions for 1825/910, 7109/773 is 1/703430.