Use our free GCF of Fractions Calculator tool to compute the GCF of 2701/712, 2216/5002 i.e 1/1780712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2701/712, 2216/5002.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2701/712,2216/5002
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 2701/712,2216/5002, numerators are 2701,2216
Denominators are 712,5002
The GCF of 2701,2216 is 1 .
LCM of 712,5002 is 1780712.
The greatest common factor of 2701/712,2216/5002 = [GCF of 2701,2216]/[LCM of 712,5002]= 1/1780712
Therefore, the GCF of 2701/712,2216/5002 is 1/1780712.
To find the highest common factor of 2701,2216, we have to find the factors of both numbers and list the highest common factor.
The factors of 2701 are 1, 37, 73, 2701
The factors of 2216 are 1, 2, 4, 8, 277, 554, 1108, 2216
The HCF of 2701,2216 is 1.
Lets's calculate GCF of 2701,2216
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2701
:1,37,73,2701
Now, list down the factors of 2216
:1,2,4,8,277,554,1108,2216
Greatest Common Factor
We found the factors 2701,2216 . The biggest common factor number is the GCF number.
So the greatest common factor 2701,2216 is 1.
Lets's calculate LCM of 712,5002
2 | 712, 5002 |
356, 2501 |
∴ So the LCM of the given numbers is 2 x 356 x 2501 = 1780712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780712
Therefore, the GCF of Fractions 2701/712,2216/5002 is 1/1780712
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 712,5002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,5002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,5002) x common factors =2 x 1 = 2
LCM(712,5002) = ( 712 × 5002 ) / 2
LCM(712,5002) = 3561424 / 2
LCM(712,5002) = 1780712
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2701,2216?
The HCF of 2701,2216 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 2701/712, 2216/5002?
Answer: GCF of Numerators as per given numbers 2701/712, 2216/5002 is
GCF of Numerators i.e. for 2701,2216 is 1
LCM of denominators i.e. for 712,5002 is 1780712.
Thus, GCF of Fractions is 1/1780712.Finally, GCF of Fractions for 2701/712, 2216/5002 is 1/1780712.