Use our free GCF of Fractions Calculator tool to compute the GCF of 55/119, 17/9046 i.e 1/1076474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/119, 17/9046.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/119,17/9046
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 55/119,17/9046, numerators are 55,17
Denominators are 119,9046
The GCF of 55,17 is 1 .
LCM of 119,9046 is 1076474.
The greatest common factor of 55/119,17/9046 = [GCF of 55,17]/[LCM of 119,9046]= 1/1076474
Therefore, the GCF of 55/119,17/9046 is 1/1076474.
To find the highest common factor of 55,17, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
The factors of 17 are 1, 17
The HCF of 55,17 is 1.
Lets's calculate GCF of 55,17
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 119,9046
Given numbers has no common factors except 1. So, there LCM is their product i.e 1076474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1076474
Therefore, the GCF of Fractions 55/119,17/9046 is 1/1076474
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 119,9046 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,9046) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,9046) x common factors =1 x 1 = 1
LCM(119,9046) = ( 119 × 9046 ) / 1
LCM(119,9046) = 1076474 / 1
LCM(119,9046) = 1076474
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 55,17?
The HCF of 55,17 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 55/119, 17/9046?
Answer: GCF of Numerators as per given numbers 55/119, 17/9046 is
GCF of Numerators i.e. for 55,17 is 1
LCM of denominators i.e. for 119,9046 is 1076474.
Thus, GCF of Fractions is 1/1076474.Finally, GCF of Fractions for 55/119, 17/9046 is 1/1076474.