Use our free GCF of Fractions Calculator tool to compute the GCF of 145/749, 342/550 i.e 1/411950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/749, 342/550.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 145/749,342/550
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 145/749,342/550, numerators are 145,342
Denominators are 749,550
The GCF of 145,342 is 1 .
LCM of 749,550 is 411950.
The greatest common factor of 145/749,342/550 = [GCF of 145,342]/[LCM of 749,550]= 1/411950
Therefore, the GCF of 145/749,342/550 is 1/411950.
To find the highest common factor of 145,342, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 342 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
The HCF of 145,342 is 1.
Lets's calculate GCF of 145,342
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 342
:1,2,3,6,9,18,19,38,57,114,171,342
Greatest Common Factor
We found the factors 145,342 . The biggest common factor number is the GCF number.
So the greatest common factor 145,342 is 1.
Lets's calculate LCM of 749,550
Given numbers has no common factors except 1. So, there LCM is their product i.e 411950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411950
Therefore, the GCF of Fractions 145/749,342/550 is 1/411950
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 749,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,550) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,550) x common factors =1 x 1 = 1
LCM(749,550) = ( 749 × 550 ) / 1
LCM(749,550) = 411950 / 1
LCM(749,550) = 411950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 145,342?
The HCF of 145,342 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 145/749, 342/550?
Answer: GCF of Numerators as per given numbers 145/749, 342/550 is
GCF of Numerators i.e. for 145,342 is 1
LCM of denominators i.e. for 749,550 is 411950.
Thus, GCF of Fractions is 1/411950.Finally, GCF of Fractions for 145/749, 342/550 is 1/411950.