Use our free GCF of Fractions Calculator tool to compute the GCF of 149/773, 474/421 i.e 1/325433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/773, 474/421.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/773,474/421
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 149/773,474/421, numerators are 149,474
Denominators are 773,421
The GCF of 149,474 is 1 .
LCM of 773,421 is 325433.
The greatest common factor of 149/773,474/421 = [GCF of 149,474]/[LCM of 773,421]= 1/325433
Therefore, the GCF of 149/773,474/421 is 1/325433.
To find the highest common factor of 149,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 149 are 1, 149
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 149,474 is 1.
Lets's calculate GCF of 149,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 149
:1,149
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 149,474 . The biggest common factor number is the GCF number.
So the greatest common factor 149,474 is 1.
Lets's calculate LCM of 773,421
Given numbers has no common factors except 1. So, there LCM is their product i.e 325433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325433
Therefore, the GCF of Fractions 149/773,474/421 is 1/325433
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 773,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,421) x common factors =1 x 1 = 1
LCM(773,421) = ( 773 × 421 ) / 1
LCM(773,421) = 325433 / 1
LCM(773,421) = 325433
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 149,474?
The HCF of 149,474 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 149/773, 474/421?
Answer: GCF of Numerators as per given numbers 149/773, 474/421 is
GCF of Numerators i.e. for 149,474 is 1
LCM of denominators i.e. for 773,421 is 325433.
Thus, GCF of Fractions is 1/325433.Finally, GCF of Fractions for 149/773, 474/421 is 1/325433.