Use our free GCF of Fractions Calculator tool to compute the GCF of 2712/665, 1085/7716 i.e 1/5131140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2712/665, 1085/7716.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2712/665,1085/7716
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 2712/665,1085/7716, numerators are 2712,1085
Denominators are 665,7716
The GCF of 2712,1085 is 1 .
LCM of 665,7716 is 5131140.
The greatest common factor of 2712/665,1085/7716 = [GCF of 2712,1085]/[LCM of 665,7716]= 1/5131140
Therefore, the GCF of 2712/665,1085/7716 is 1/5131140.
To find the highest common factor of 2712,1085, we have to find the factors of both numbers and list the highest common factor.
The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
The factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085
The HCF of 2712,1085 is 1.
Lets's calculate GCF of 2712,1085
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2712
:1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Now, list down the factors of 1085
:1,5,7,31,35,155,217,1085
Greatest Common Factor
We found the factors 2712,1085 . The biggest common factor number is the GCF number.
So the greatest common factor 2712,1085 is 1.
Lets's calculate LCM of 665,7716
Given numbers has no common factors except 1. So, there LCM is their product i.e 5131140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5131140
Therefore, the GCF of Fractions 2712/665,1085/7716 is 1/5131140
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 665,7716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,7716) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,7716) x common factors =1 x 1 = 1
LCM(665,7716) = ( 665 × 7716 ) / 1
LCM(665,7716) = 5131140 / 1
LCM(665,7716) = 5131140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2712,1085?
The HCF of 2712,1085 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 2712/665, 1085/7716?
Answer: GCF of Numerators as per given numbers 2712/665, 1085/7716 is
GCF of Numerators i.e. for 2712,1085 is 1
LCM of denominators i.e. for 665,7716 is 5131140.
Thus, GCF of Fractions is 1/5131140.Finally, GCF of Fractions for 2712/665, 1085/7716 is 1/5131140.