Use our free GCF of Fractions Calculator tool to compute the GCF of 547/153, 454/817 i.e 1/125001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/153, 454/817.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/153,454/817
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 547/153,454/817, numerators are 547,454
Denominators are 153,817
The GCF of 547,454 is 1 .
LCM of 153,817 is 125001.
The greatest common factor of 547/153,454/817 = [GCF of 547,454]/[LCM of 153,817]= 1/125001
Therefore, the GCF of 547/153,454/817 is 1/125001.
To find the highest common factor of 547,454, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 454 are 1, 2, 227, 454
The HCF of 547,454 is 1.
Lets's calculate GCF of 547,454
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 547
:1,547
Now, list down the factors of 454
:1,2,227,454
Greatest Common Factor
We found the factors 547,454 . The biggest common factor number is the GCF number.
So the greatest common factor 547,454 is 1.
Lets's calculate LCM of 153,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 125001
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125001
Therefore, the GCF of Fractions 547/153,454/817 is 1/125001
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 153,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,817) x common factors =1 x 1 = 1
LCM(153,817) = ( 153 × 817 ) / 1
LCM(153,817) = 125001 / 1
LCM(153,817) = 125001
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 547,454?
The HCF of 547,454 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 547/153, 454/817?
Answer: GCF of Numerators as per given numbers 547/153, 454/817 is
GCF of Numerators i.e. for 547,454 is 1
LCM of denominators i.e. for 153,817 is 125001.
Thus, GCF of Fractions is 1/125001.Finally, GCF of Fractions for 547/153, 454/817 is 1/125001.