Use our free GCF of Fractions Calculator tool to compute the GCF of 547/652, 643/423 i.e 1/275796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/652, 643/423.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 547/652,643/423
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 547/652,643/423, numerators are 547,643
Denominators are 652,423
The GCF of 547,643 is 1 .
LCM of 652,423 is 275796.
The greatest common factor of 547/652,643/423 = [GCF of 547,643]/[LCM of 652,423]= 1/275796
Therefore, the GCF of 547/652,643/423 is 1/275796.
To find the highest common factor of 547,643, 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 643 are 1, 643
The HCF of 547,643 is 1.
Lets's calculate GCF of 547,643
∴ 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 643
:1,643
Greatest Common Factor
We found the factors 547,643 . The biggest common factor number is the GCF number.
So the greatest common factor 547,643 is 1.
Lets's calculate LCM of 652,423
Given numbers has no common factors except 1. So, there LCM is their product i.e 275796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275796
Therefore, the GCF of Fractions 547/652,643/423 is 1/275796
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 652,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,423) x common factors =1 x 1 = 1
LCM(652,423) = ( 652 × 423 ) / 1
LCM(652,423) = 275796 / 1
LCM(652,423) = 275796
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 547,643?
The HCF of 547,643 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 547/652, 643/423?
Answer: GCF of Numerators as per given numbers 547/652, 643/423 is
GCF of Numerators i.e. for 547,643 is 1
LCM of denominators i.e. for 652,423 is 275796.
Thus, GCF of Fractions is 1/275796.Finally, GCF of Fractions for 547/652, 643/423 is 1/275796.