Use our free GCF of Fractions Calculator tool to compute the GCF of 1513/843, 7678/2792 i.e 1/2353656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1513/843, 7678/2792.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1513/843,7678/2792
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 1513/843,7678/2792, numerators are 1513,7678
Denominators are 843,2792
The GCF of 1513,7678 is 1 .
LCM of 843,2792 is 2353656.
The greatest common factor of 1513/843,7678/2792 = [GCF of 1513,7678]/[LCM of 843,2792]= 1/2353656
Therefore, the GCF of 1513/843,7678/2792 is 1/2353656.
To find the highest common factor of 1513,7678, we have to find the factors of both numbers and list the highest common factor.
The factors of 1513 are 1, 17, 89, 1513
The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678
The HCF of 1513,7678 is 1.
Lets's calculate GCF of 1513,7678
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 1513
:1,17,89,1513
Now, list down the factors of 7678
:1,2,11,22,349,698,3839,7678
Greatest Common Factor
We found the factors 1513,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 1513,7678 is 1.
Lets's calculate LCM of 843,2792
Given numbers has no common factors except 1. So, there LCM is their product i.e 2353656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2353656
Therefore, the GCF of Fractions 1513/843,7678/2792 is 1/2353656
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 843,2792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,2792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,2792) x common factors =1 x 1 = 1
LCM(843,2792) = ( 843 × 2792 ) / 1
LCM(843,2792) = 2353656 / 1
LCM(843,2792) = 2353656
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1513,7678?
The HCF of 1513,7678 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 1513/843, 7678/2792?
Answer: GCF of Numerators as per given numbers 1513/843, 7678/2792 is
GCF of Numerators i.e. for 1513,7678 is 1
LCM of denominators i.e. for 843,2792 is 2353656.
Thus, GCF of Fractions is 1/2353656.Finally, GCF of Fractions for 1513/843, 7678/2792 is 1/2353656.