Use our free GCF of Fractions Calculator tool to compute the GCF of 543/639, 954/995 i.e 3/635805 easily. The following is the detailed procedure to determine the greatest common factor of fractions 543/639, 954/995.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 543/639,954/995
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 543/639,954/995, numerators are 543,954
Denominators are 639,995
The GCF of 543,954 is 3 .
LCM of 639,995 is 635805.
The greatest common factor of 543/639,954/995 = [GCF of 543,954]/[LCM of 639,995]= 3/635805
Therefore, the GCF of 543/639,954/995 is 3/635805.
To find the highest common factor of 543,954, we have to find the factors of both numbers and list the highest common factor.
The factors of 543 are 1, 3, 181, 543
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The HCF of 543,954 is 3.
Lets's calculate GCF of 543,954
3 | 543, 954 |
181, 318 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 543
:1,3,181,543
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 543,954 . The biggest common factor number is the GCF number.
So the greatest common factor 543,954 is 3.
Lets's calculate LCM of 639,995
Given numbers has no common factors except 1. So, there LCM is their product i.e 635805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/635805
Therefore, the GCF of Fractions 543/639,954/995 is 3/635805
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 639,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,995) x common factors =1 x 1 = 1
LCM(639,995) = ( 639 × 995 ) / 1
LCM(639,995) = 635805 / 1
LCM(639,995) = 635805
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 543,954?
The HCF of 543,954 is 3
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 543/639, 954/995?
Answer: GCF of Numerators as per given numbers 543/639, 954/995 is
GCF of Numerators i.e. for 543,954 is 3
LCM of denominators i.e. for 639,995 is 635805.
Thus, GCF of Fractions is 3/635805.Finally, GCF of Fractions for 543/639, 954/995 is 3/635805.