Use our free GCF of Fractions Calculator tool to compute the GCF of 5379/985, 6874/5254 i.e 1/5175190 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5379/985, 6874/5254.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5379/985,6874/5254
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 5379/985,6874/5254, numerators are 5379,6874
Denominators are 985,5254
The GCF of 5379,6874 is 1 .
LCM of 985,5254 is 5175190.
The greatest common factor of 5379/985,6874/5254 = [GCF of 5379,6874]/[LCM of 985,5254]= 1/5175190
Therefore, the GCF of 5379/985,6874/5254 is 1/5175190.
To find the highest common factor of 5379,6874, we have to find the factors of both numbers and list the highest common factor.
The factors of 5379 are 1, 3, 11, 33, 163, 489, 1793, 5379
The factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874
The HCF of 5379,6874 is 1.
Lets's calculate GCF of 5379,6874
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5379
:1,3,11,33,163,489,1793,5379
Now, list down the factors of 6874
:1,2,7,14,491,982,3437,6874
Greatest Common Factor
We found the factors 5379,6874 . The biggest common factor number is the GCF number.
So the greatest common factor 5379,6874 is 1.
Lets's calculate LCM of 985,5254
Given numbers has no common factors except 1. So, there LCM is their product i.e 5175190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5175190
Therefore, the GCF of Fractions 5379/985,6874/5254 is 1/5175190
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 985,5254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,5254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,5254) x common factors =1 x 1 = 1
LCM(985,5254) = ( 985 × 5254 ) / 1
LCM(985,5254) = 5175190 / 1
LCM(985,5254) = 5175190
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5379,6874?
The HCF of 5379,6874 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 5379/985, 6874/5254?
Answer: GCF of Numerators as per given numbers 5379/985, 6874/5254 is
GCF of Numerators i.e. for 5379,6874 is 1
LCM of denominators i.e. for 985,5254 is 5175190.
Thus, GCF of Fractions is 1/5175190.Finally, GCF of Fractions for 5379/985, 6874/5254 is 1/5175190.