Use our free GCF of Fractions Calculator tool to compute the GCF of 62/43, 557/39, 953/493 i.e 1/826761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/43, 557/39, 953/493.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/43,557/39,953/493
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 62/43,557/39,953/493, numerators are 62,557,953
Denominators are 43,39,493
The GCF of 62,557,953 is 1 .
LCM of 43,39,493 is 826761.
The greatest common factor of 62/43,557/39,953/493 = [GCF of 62,557,953]/[LCM of 43,39,493]= 1/826761
Therefore, the GCF of 62/43,557/39,953/493 is 1/826761.
To find the highest common factor of 62,557,953, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 557 are 1, 557
The factors of 953 are 1, 953
The HCF of 62,557,953 is 1.
Lets's calculate GCF of 62,557,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 557
:1,557
Now, list down the factors of 953
:1,953
Greatest Common Factor
We found the factors 62,557,953 . The biggest common factor number is the GCF number.
So the greatest common factor 62,557,953 is 1.
Lets's calculate LCM of 43,39,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 826761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/826761
Therefore, the GCF of Fractions 62/43,557/39,953/493 is 1/826761
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 43,39,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,39,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,39,493) x common factors =1 x 1 = 1
LCM(43,39,493) = ( 43 × 39 × 493 ) / 1
LCM(43,39,493) = 826761 / 1
LCM(43,39,493) = 826761
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 62,557,953?
The HCF of 62,557,953 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 62/43, 557/39, 953/493?
Answer: GCF of Numerators as per given numbers 62/43, 557/39, 953/493 is
GCF of Numerators i.e. for 62,557,953 is 1
LCM of denominators i.e. for 43,39,493 is 826761.
Thus, GCF of Fractions is 1/826761.Finally, GCF of Fractions for 62/43, 557/39, 953/493 is 1/826761.