Use our free GCF of Fractions Calculator tool to compute the GCF of 2731/753, 7321/8580 i.e 1/2153580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2731/753, 7321/8580.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2731/753,7321/8580
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 2731/753,7321/8580, numerators are 2731,7321
Denominators are 753,8580
The GCF of 2731,7321 is 1 .
LCM of 753,8580 is 2153580.
The greatest common factor of 2731/753,7321/8580 = [GCF of 2731,7321]/[LCM of 753,8580]= 1/2153580
Therefore, the GCF of 2731/753,7321/8580 is 1/2153580.
To find the highest common factor of 2731,7321, we have to find the factors of both numbers and list the highest common factor.
The factors of 2731 are 1, 2731
The factors of 7321 are 1, 7321
The HCF of 2731,7321 is 1.
Lets's calculate GCF of 2731,7321
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2731
:1,2731
Now, list down the factors of 7321
:1,7321
Greatest Common Factor
We found the factors 2731,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 2731,7321 is 1.
Lets's calculate LCM of 753,8580
3 | 753, 8580 |
251, 2860 |
∴ So the LCM of the given numbers is 3 x 251 x 2860 = 2153580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2153580
Therefore, the GCF of Fractions 2731/753,7321/8580 is 1/2153580
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 753,8580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,8580) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(753,8580) x common factors =3 x 1 = 3
LCM(753,8580) = ( 753 × 8580 ) / 3
LCM(753,8580) = 6460740 / 3
LCM(753,8580) = 2153580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2731,7321?
The HCF of 2731,7321 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 2731/753, 7321/8580?
Answer: GCF of Numerators as per given numbers 2731/753, 7321/8580 is
GCF of Numerators i.e. for 2731,7321 is 1
LCM of denominators i.e. for 753,8580 is 2153580.
Thus, GCF of Fractions is 1/2153580.Finally, GCF of Fractions for 2731/753, 7321/8580 is 1/2153580.