Use our free GCF of Fractions Calculator tool to compute the GCF of 58/725, 749/673, 735/648 i.e 1/316175400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 58/725, 749/673, 735/648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/725,749/673,735/648
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 58/725,749/673,735/648, numerators are 58,749,735
Denominators are 725,673,648
The GCF of 58,749,735 is 1 .
LCM of 725,673,648 is 316175400.
The greatest common factor of 58/725,749/673,735/648 = [GCF of 58,749,735]/[LCM of 725,673,648]= 1/316175400
Therefore, the GCF of 58/725,749/673,735/648 is 1/316175400.
To find the highest common factor of 58,749,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 58 are 1, 2, 29, 58
The factors of 749 are 1, 7, 107, 749
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 58,749,735 is 1.
Lets's calculate GCF of 58,749,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 58
:1,2,29,58
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 58,749,735 . The biggest common factor number is the GCF number.
So the greatest common factor 58,749,735 is 1.
Lets's calculate LCM of 725,673,648
Given numbers has no common factors except 1. So, there LCM is their product i.e 316175400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316175400
Therefore, the GCF of Fractions 58/725,749/673,735/648 is 1/316175400
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 725,673,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,673,648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,673,648) x common factors =1 x 1 = 1
LCM(725,673,648) = ( 725 × 673 × 648 ) / 1
LCM(725,673,648) = 316175400 / 1
LCM(725,673,648) = 316175400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 58,749,735?
The HCF of 58,749,735 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 58/725, 749/673, 735/648?
Answer: GCF of Numerators as per given numbers 58/725, 749/673, 735/648 is
GCF of Numerators i.e. for 58,749,735 is 1
LCM of denominators i.e. for 725,673,648 is 316175400.
Thus, GCF of Fractions is 1/316175400.Finally, GCF of Fractions for 58/725, 749/673, 735/648 is 1/316175400.