Use our free GCF of Fractions Calculator tool to compute the GCF of 5073/454, 6724/3090 i.e 1/701430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5073/454, 6724/3090.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5073/454,6724/3090
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 5073/454,6724/3090, numerators are 5073,6724
Denominators are 454,3090
The GCF of 5073,6724 is 1 .
LCM of 454,3090 is 701430.
The greatest common factor of 5073/454,6724/3090 = [GCF of 5073,6724]/[LCM of 454,3090]= 1/701430
Therefore, the GCF of 5073/454,6724/3090 is 1/701430.
To find the highest common factor of 5073,6724, we have to find the factors of both numbers and list the highest common factor.
The factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073
The factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724
The HCF of 5073,6724 is 1.
Lets's calculate GCF of 5073,6724
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5073
:1,3,19,57,89,267,1691,5073
Now, list down the factors of 6724
:1,2,4,41,82,164,1681,3362,6724
Greatest Common Factor
We found the factors 5073,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 5073,6724 is 1.
Lets's calculate LCM of 454,3090
2 | 454, 3090 |
227, 1545 |
∴ So the LCM of the given numbers is 2 x 227 x 1545 = 701430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/701430
Therefore, the GCF of Fractions 5073/454,6724/3090 is 1/701430
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 454,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,3090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,3090) x common factors =2 x 1 = 2
LCM(454,3090) = ( 454 × 3090 ) / 2
LCM(454,3090) = 1402860 / 2
LCM(454,3090) = 701430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5073,6724?
The HCF of 5073,6724 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 5073/454, 6724/3090?
Answer: GCF of Numerators as per given numbers 5073/454, 6724/3090 is
GCF of Numerators i.e. for 5073,6724 is 1
LCM of denominators i.e. for 454,3090 is 701430.
Thus, GCF of Fractions is 1/701430.Finally, GCF of Fractions for 5073/454, 6724/3090 is 1/701430.