Use our free GCF of Fractions Calculator tool to compute the GCF of 454/637, 474/123 i.e 2/78351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/637, 474/123.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 454/637,474/123
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 454/637,474/123, numerators are 454,474
Denominators are 637,123
The GCF of 454,474 is 2 .
LCM of 637,123 is 78351.
The greatest common factor of 454/637,474/123 = [GCF of 454,474]/[LCM of 637,123]= 2/78351
Therefore, the GCF of 454/637,474/123 is 2/78351.
To find the highest common factor of 454,474, we have to find the factors of both numbers and list the highest common factor.
The factors of 454 are 1, 2, 227, 454
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474
The HCF of 454,474 is 2.
Lets's calculate GCF of 454,474
2 | 454, 474 |
227, 237 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 454
:1,2,227,454
Now, list down the factors of 474
:1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 454,474 . The biggest common factor number is the GCF number.
So the greatest common factor 454,474 is 2.
Lets's calculate LCM of 637,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 78351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78351
Therefore, the GCF of Fractions 454/637,474/123 is 2/78351
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 637,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,123) x common factors =1 x 1 = 1
LCM(637,123) = ( 637 × 123 ) / 1
LCM(637,123) = 78351 / 1
LCM(637,123) = 78351
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 454,474?
The HCF of 454,474 is 2
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 454/637, 474/123?
Answer: GCF of Numerators as per given numbers 454/637, 474/123 is
GCF of Numerators i.e. for 454,474 is 2
LCM of denominators i.e. for 637,123 is 78351.
Thus, GCF of Fractions is 2/78351.Finally, GCF of Fractions for 454/637, 474/123 is 2/78351.