Use our free GCF of Fractions Calculator tool to compute the GCF of 154/454, 893/510 i.e 1/115770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/454, 893/510.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 154/454,893/510
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 154/454,893/510, numerators are 154,893
Denominators are 454,510
The GCF of 154,893 is 1 .
LCM of 454,510 is 115770.
The greatest common factor of 154/454,893/510 = [GCF of 154,893]/[LCM of 454,510]= 1/115770
Therefore, the GCF of 154/454,893/510 is 1/115770.
To find the highest common factor of 154,893, we have to find the factors of both numbers and list the highest common factor.
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The factors of 893 are 1, 19, 47, 893
The HCF of 154,893 is 1.
Lets's calculate GCF of 154,893
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Now, list down the factors of 893
:1,19,47,893
Greatest Common Factor
We found the factors 154,893 . The biggest common factor number is the GCF number.
So the greatest common factor 154,893 is 1.
Lets's calculate LCM of 454,510
2 | 454, 510 |
227, 255 |
∴ So the LCM of the given numbers is 2 x 227 x 255 = 115770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115770
Therefore, the GCF of Fractions 154/454,893/510 is 1/115770
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 454,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,510) x common factors =2 x 1 = 2
LCM(454,510) = ( 454 × 510 ) / 2
LCM(454,510) = 231540 / 2
LCM(454,510) = 115770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 154,893?
The HCF of 154,893 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 154/454, 893/510?
Answer: GCF of Numerators as per given numbers 154/454, 893/510 is
GCF of Numerators i.e. for 154,893 is 1
LCM of denominators i.e. for 454,510 is 115770.
Thus, GCF of Fractions is 1/115770.Finally, GCF of Fractions for 154/454, 893/510 is 1/115770.