Use our free GCF of Fractions Calculator tool to compute the GCF of 7453/151, 1339/5645 i.e 1/852395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7453/151, 1339/5645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7453/151,1339/5645
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 7453/151,1339/5645, numerators are 7453,1339
Denominators are 151,5645
The GCF of 7453,1339 is 1 .
LCM of 151,5645 is 852395.
The greatest common factor of 7453/151,1339/5645 = [GCF of 7453,1339]/[LCM of 151,5645]= 1/852395
Therefore, the GCF of 7453/151,1339/5645 is 1/852395.
To find the highest common factor of 7453,1339, we have to find the factors of both numbers and list the highest common factor.
The factors of 7453 are 1, 29, 257, 7453
The factors of 1339 are 1, 13, 103, 1339
The HCF of 7453,1339 is 1.
Lets's calculate GCF of 7453,1339
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7453
:1,29,257,7453
Now, list down the factors of 1339
:1,13,103,1339
Greatest Common Factor
We found the factors 7453,1339 . The biggest common factor number is the GCF number.
So the greatest common factor 7453,1339 is 1.
Lets's calculate LCM of 151,5645
Given numbers has no common factors except 1. So, there LCM is their product i.e 852395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/852395
Therefore, the GCF of Fractions 7453/151,1339/5645 is 1/852395
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 151,5645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,5645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,5645) x common factors =1 x 1 = 1
LCM(151,5645) = ( 151 × 5645 ) / 1
LCM(151,5645) = 852395 / 1
LCM(151,5645) = 852395
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7453,1339?
The HCF of 7453,1339 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 7453/151, 1339/5645?
Answer: GCF of Numerators as per given numbers 7453/151, 1339/5645 is
GCF of Numerators i.e. for 7453,1339 is 1
LCM of denominators i.e. for 151,5645 is 852395.
Thus, GCF of Fractions is 1/852395.Finally, GCF of Fractions for 7453/151, 1339/5645 is 1/852395.