Use our free GCF of Fractions Calculator tool to compute the GCF of 758/680, 455/585 i.e 1/79560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/680, 455/585.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/680,455/585
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 758/680,455/585, numerators are 758,455
Denominators are 680,585
The GCF of 758,455 is 1 .
LCM of 680,585 is 79560.
The greatest common factor of 758/680,455/585 = [GCF of 758,455]/[LCM of 680,585]= 1/79560
Therefore, the GCF of 758/680,455/585 is 1/79560.
To find the highest common factor of 758,455, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The HCF of 758,455 is 1.
Lets's calculate GCF of 758,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 758,455 . The biggest common factor number is the GCF number.
So the greatest common factor 758,455 is 1.
Lets's calculate LCM of 680,585
5 | 680, 585 |
136, 117 |
∴ So the LCM of the given numbers is 5 x 136 x 117 = 79560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79560
Therefore, the GCF of Fractions 758/680,455/585 is 1/79560
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 680,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,585) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(680,585) x common factors =5 x 1 = 5
LCM(680,585) = ( 680 × 585 ) / 5
LCM(680,585) = 397800 / 5
LCM(680,585) = 79560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 758,455?
The HCF of 758,455 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 758/680, 455/585?
Answer: GCF of Numerators as per given numbers 758/680, 455/585 is
GCF of Numerators i.e. for 758,455 is 1
LCM of denominators i.e. for 680,585 is 79560.
Thus, GCF of Fractions is 1/79560.Finally, GCF of Fractions for 758/680, 455/585 is 1/79560.