Use our free GCF of Fractions Calculator tool to compute the GCF of 7460/649, 6673/7833 i.e 1/5083617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7460/649, 6673/7833.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7460/649,6673/7833
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 7460/649,6673/7833, numerators are 7460,6673
Denominators are 649,7833
The GCF of 7460,6673 is 1 .
LCM of 649,7833 is 5083617.
The greatest common factor of 7460/649,6673/7833 = [GCF of 7460,6673]/[LCM of 649,7833]= 1/5083617
Therefore, the GCF of 7460/649,6673/7833 is 1/5083617.
To find the highest common factor of 7460,6673, we have to find the factors of both numbers and list the highest common factor.
The factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460
The factors of 6673 are 1, 6673
The HCF of 7460,6673 is 1.
Lets's calculate GCF of 7460,6673
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7460
:1,2,4,5,10,20,373,746,1492,1865,3730,7460
Now, list down the factors of 6673
:1,6673
Greatest Common Factor
We found the factors 7460,6673 . The biggest common factor number is the GCF number.
So the greatest common factor 7460,6673 is 1.
Lets's calculate LCM of 649,7833
Given numbers has no common factors except 1. So, there LCM is their product i.e 5083617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5083617
Therefore, the GCF of Fractions 7460/649,6673/7833 is 1/5083617
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 649,7833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,7833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,7833) x common factors =1 x 1 = 1
LCM(649,7833) = ( 649 × 7833 ) / 1
LCM(649,7833) = 5083617 / 1
LCM(649,7833) = 5083617
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7460,6673?
The HCF of 7460,6673 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 7460/649, 6673/7833?
Answer: GCF of Numerators as per given numbers 7460/649, 6673/7833 is
GCF of Numerators i.e. for 7460,6673 is 1
LCM of denominators i.e. for 649,7833 is 5083617.
Thus, GCF of Fractions is 1/5083617.Finally, GCF of Fractions for 7460/649, 6673/7833 is 1/5083617.