Use our free GCF of Fractions Calculator tool to compute the GCF of 1469/385, 7907/2713 i.e 1/1044505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1469/385, 7907/2713.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1469/385,7907/2713
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 1469/385,7907/2713, numerators are 1469,7907
Denominators are 385,2713
The GCF of 1469,7907 is 1 .
LCM of 385,2713 is 1044505.
The greatest common factor of 1469/385,7907/2713 = [GCF of 1469,7907]/[LCM of 385,2713]= 1/1044505
Therefore, the GCF of 1469/385,7907/2713 is 1/1044505.
To find the highest common factor of 1469,7907, we have to find the factors of both numbers and list the highest common factor.
The factors of 1469 are 1, 13, 113, 1469
The factors of 7907 are 1, 7907
The HCF of 1469,7907 is 1.
Lets's calculate GCF of 1469,7907
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1469
:1,13,113,1469
Now, list down the factors of 7907
:1,7907
Greatest Common Factor
We found the factors 1469,7907 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,7907 is 1.
Lets's calculate LCM of 385,2713
Given numbers has no common factors except 1. So, there LCM is their product i.e 1044505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1044505
Therefore, the GCF of Fractions 1469/385,7907/2713 is 1/1044505
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 385,2713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,2713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,2713) x common factors =1 x 1 = 1
LCM(385,2713) = ( 385 × 2713 ) / 1
LCM(385,2713) = 1044505 / 1
LCM(385,2713) = 1044505
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1469,7907?
The HCF of 1469,7907 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 1469/385, 7907/2713?
Answer: GCF of Numerators as per given numbers 1469/385, 7907/2713 is
GCF of Numerators i.e. for 1469,7907 is 1
LCM of denominators i.e. for 385,2713 is 1044505.
Thus, GCF of Fractions is 1/1044505.Finally, GCF of Fractions for 1469/385, 7907/2713 is 1/1044505.