Use our free GCF of Fractions Calculator tool to compute the GCF of 155/263, 938/409 i.e 1/107567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/263, 938/409.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/263,938/409
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 155/263,938/409, numerators are 155,938
Denominators are 263,409
The GCF of 155,938 is 1 .
LCM of 263,409 is 107567.
The greatest common factor of 155/263,938/409 = [GCF of 155,938]/[LCM of 263,409]= 1/107567
Therefore, the GCF of 155/263,938/409 is 1/107567.
To find the highest common factor of 155,938, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938
The HCF of 155,938 is 1.
Lets's calculate GCF of 155,938
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 938
:1,2,7,14,67,134,469,938
Greatest Common Factor
We found the factors 155,938 . The biggest common factor number is the GCF number.
So the greatest common factor 155,938 is 1.
Lets's calculate LCM of 263,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 107567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107567
Therefore, the GCF of Fractions 155/263,938/409 is 1/107567
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 263,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,409) x common factors =1 x 1 = 1
LCM(263,409) = ( 263 × 409 ) / 1
LCM(263,409) = 107567 / 1
LCM(263,409) = 107567
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,938?
The HCF of 155,938 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 155/263, 938/409?
Answer: GCF of Numerators as per given numbers 155/263, 938/409 is
GCF of Numerators i.e. for 155,938 is 1
LCM of denominators i.e. for 263,409 is 107567.
Thus, GCF of Fractions is 1/107567.Finally, GCF of Fractions for 155/263, 938/409 is 1/107567.