Use our free GCF of Fractions Calculator tool to compute the GCF of 242/175, 154/487 i.e 22/85225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 242/175, 154/487.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 242/175,154/487
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 242/175,154/487, numerators are 242,154
Denominators are 175,487
The GCF of 242,154 is 22 .
LCM of 175,487 is 85225.
The greatest common factor of 242/175,154/487 = [GCF of 242,154]/[LCM of 175,487]= 22/85225
Therefore, the GCF of 242/175,154/487 is 22/85225.
To find the highest common factor of 242,154, we have to find the factors of both numbers and list the highest common factor.
The factors of 242 are 1, 2, 11, 22, 121, 242
The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154
The HCF of 242,154 is 22.
Lets's calculate GCF of 242,154
2 | 242, 154 |
11 | 121, 77 |
11, 7 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Now, list down the factors of 242
:1,2,11,22,121,242
Now, list down the factors of 154
:1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 242,154 . The biggest common factor number is the GCF number.
So the greatest common factor 242,154 is 22.
Lets's calculate LCM of 175,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 85225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/85225
Therefore, the GCF of Fractions 242/175,154/487 is 22/85225
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 175,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,487) x common factors =1 x 1 = 1
LCM(175,487) = ( 175 × 487 ) / 1
LCM(175,487) = 85225 / 1
LCM(175,487) = 85225
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 242,154?
The HCF of 242,154 is 22
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 242/175, 154/487?
Answer: GCF of Numerators as per given numbers 242/175, 154/487 is
GCF of Numerators i.e. for 242,154 is 22
LCM of denominators i.e. for 175,487 is 85225.
Thus, GCF of Fractions is 22/85225.Finally, GCF of Fractions for 242/175, 154/487 is 22/85225.