Use our free GCF of Fractions Calculator tool to compute the GCF of 29/265, 74/2098 i.e 1/555970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/265, 74/2098.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/265,74/2098
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 29/265,74/2098, numerators are 29,74
Denominators are 265,2098
The GCF of 29,74 is 1 .
LCM of 265,2098 is 555970.
The greatest common factor of 29/265,74/2098 = [GCF of 29,74]/[LCM of 265,2098]= 1/555970
Therefore, the GCF of 29/265,74/2098 is 1/555970.
To find the highest common factor of 29,74, we have to find the factors of both numbers and list the highest common factor.
The factors of 29 are 1, 29
The factors of 74 are 1, 2, 37, 74
The HCF of 29,74 is 1.
Lets's calculate GCF of 29,74
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 265,2098
Given numbers has no common factors except 1. So, there LCM is their product i.e 555970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555970
Therefore, the GCF of Fractions 29/265,74/2098 is 1/555970
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 265,2098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,2098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,2098) x common factors =1 x 1 = 1
LCM(265,2098) = ( 265 × 2098 ) / 1
LCM(265,2098) = 555970 / 1
LCM(265,2098) = 555970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 29,74?
The HCF of 29,74 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 29/265, 74/2098?
Answer: GCF of Numerators as per given numbers 29/265, 74/2098 is
GCF of Numerators i.e. for 29,74 is 1
LCM of denominators i.e. for 265,2098 is 555970.
Thus, GCF of Fractions is 1/555970.Finally, GCF of Fractions for 29/265, 74/2098 is 1/555970.