Use our free GCF of Fractions Calculator tool to compute the GCF of 2742/532, 2713/6976 i.e 1/927808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2742/532, 2713/6976.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2742/532,2713/6976
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 2742/532,2713/6976, numerators are 2742,2713
Denominators are 532,6976
The GCF of 2742,2713 is 1 .
LCM of 532,6976 is 927808.
The greatest common factor of 2742/532,2713/6976 = [GCF of 2742,2713]/[LCM of 532,6976]= 1/927808
Therefore, the GCF of 2742/532,2713/6976 is 1/927808.
To find the highest common factor of 2742,2713, we have to find the factors of both numbers and list the highest common factor.
The factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742
The factors of 2713 are 1, 2713
The HCF of 2742,2713 is 1.
Lets's calculate GCF of 2742,2713
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2742
:1,2,3,6,457,914,1371,2742
Now, list down the factors of 2713
:1,2713
Greatest Common Factor
We found the factors 2742,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 2742,2713 is 1.
Lets's calculate LCM of 532,6976
2 | 532, 6976 |
2 | 266, 3488 |
133, 1744 |
∴ So the LCM of the given numbers is 2 x 2 x 133 x 1744 = 927808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/927808
Therefore, the GCF of Fractions 2742/532,2713/6976 is 1/927808
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 532,6976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,6976) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(532,6976) x common factors =4 x 1 = 4
LCM(532,6976) = ( 532 × 6976 ) / 4
LCM(532,6976) = 3711232 / 4
LCM(532,6976) = 927808
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2742,2713?
The HCF of 2742,2713 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 2742/532, 2713/6976?
Answer: GCF of Numerators as per given numbers 2742/532, 2713/6976 is
GCF of Numerators i.e. for 2742,2713 is 1
LCM of denominators i.e. for 532,6976 is 927808.
Thus, GCF of Fractions is 1/927808.Finally, GCF of Fractions for 2742/532, 2713/6976 is 1/927808.