Use our free GCF of Fractions Calculator tool to compute the GCF of 2767/545, 8893/8598 i.e 1/4685910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2767/545, 8893/8598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2767/545,8893/8598
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 2767/545,8893/8598, numerators are 2767,8893
Denominators are 545,8598
The GCF of 2767,8893 is 1 .
LCM of 545,8598 is 4685910.
The greatest common factor of 2767/545,8893/8598 = [GCF of 2767,8893]/[LCM of 545,8598]= 1/4685910
Therefore, the GCF of 2767/545,8893/8598 is 1/4685910.
To find the highest common factor of 2767,8893, we have to find the factors of both numbers and list the highest common factor.
The factors of 2767 are 1, 2767
The factors of 8893 are 1, 8893
The HCF of 2767,8893 is 1.
Lets's calculate GCF of 2767,8893
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2767
:1,2767
Now, list down the factors of 8893
:1,8893
Greatest Common Factor
We found the factors 2767,8893 . The biggest common factor number is the GCF number.
So the greatest common factor 2767,8893 is 1.
Lets's calculate LCM of 545,8598
Given numbers has no common factors except 1. So, there LCM is their product i.e 4685910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4685910
Therefore, the GCF of Fractions 2767/545,8893/8598 is 1/4685910
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 545,8598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(545,8598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(545,8598) x common factors =1 x 1 = 1
LCM(545,8598) = ( 545 × 8598 ) / 1
LCM(545,8598) = 4685910 / 1
LCM(545,8598) = 4685910
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2767,8893?
The HCF of 2767,8893 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 2767/545, 8893/8598?
Answer: GCF of Numerators as per given numbers 2767/545, 8893/8598 is
GCF of Numerators i.e. for 2767,8893 is 1
LCM of denominators i.e. for 545,8598 is 4685910.
Thus, GCF of Fractions is 1/4685910.Finally, GCF of Fractions for 2767/545, 8893/8598 is 1/4685910.