Use our free GCF of Fractions Calculator tool to compute the GCF of 5462/564, 4239/3179 i.e 1/1792956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5462/564, 4239/3179.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5462/564,4239/3179
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 5462/564,4239/3179, numerators are 5462,4239
Denominators are 564,3179
The GCF of 5462,4239 is 1 .
LCM of 564,3179 is 1792956.
The greatest common factor of 5462/564,4239/3179 = [GCF of 5462,4239]/[LCM of 564,3179]= 1/1792956
Therefore, the GCF of 5462/564,4239/3179 is 1/1792956.
To find the highest common factor of 5462,4239, we have to find the factors of both numbers and list the highest common factor.
The factors of 5462 are 1, 2, 2731, 5462
The factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239
The HCF of 5462,4239 is 1.
Lets's calculate GCF of 5462,4239
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5462
:1,2,2731,5462
Now, list down the factors of 4239
:1,3,9,27,157,471,1413,4239
Greatest Common Factor
We found the factors 5462,4239 . The biggest common factor number is the GCF number.
So the greatest common factor 5462,4239 is 1.
Lets's calculate LCM of 564,3179
Given numbers has no common factors except 1. So, there LCM is their product i.e 1792956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1792956
Therefore, the GCF of Fractions 5462/564,4239/3179 is 1/1792956
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 564,3179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,3179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,3179) x common factors =1 x 1 = 1
LCM(564,3179) = ( 564 × 3179 ) / 1
LCM(564,3179) = 1792956 / 1
LCM(564,3179) = 1792956
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5462,4239?
The HCF of 5462,4239 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 5462/564, 4239/3179?
Answer: GCF of Numerators as per given numbers 5462/564, 4239/3179 is
GCF of Numerators i.e. for 5462,4239 is 1
LCM of denominators i.e. for 564,3179 is 1792956.
Thus, GCF of Fractions is 1/1792956.Finally, GCF of Fractions for 5462/564, 4239/3179 is 1/1792956.