Use our free GCF of Fractions Calculator tool to compute the GCF of 11/59, 258/70, 195/688 i.e 1/1420720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/59, 258/70, 195/688.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/59,258/70,195/688
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 11/59,258/70,195/688, numerators are 11,258,195
Denominators are 59,70,688
The GCF of 11,258,195 is 1 .
LCM of 59,70,688 is 1420720.
The greatest common factor of 11/59,258/70,195/688 = [GCF of 11,258,195]/[LCM of 59,70,688]= 1/1420720
Therefore, the GCF of 11/59,258/70,195/688 is 1/1420720.
To find the highest common factor of 11,258,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 258 are 1, 2, 3, 6, 43, 86, 129, 258
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 11,258,195 is 1.
Lets's calculate GCF of 11,258,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 11
:1,11
Now, list down the factors of 258
:1,2,3,6,43,86,129,258
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 11,258,195 . The biggest common factor number is the GCF number.
So the greatest common factor 11,258,195 is 1.
Lets's calculate LCM of 59,70,688
2 | 59, 70, 688 |
59, 35, 344 |
∴ So the LCM of the given numbers is 2 x 59 x 35 x 344 = 1420720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1420720
Therefore, the GCF of Fractions 11/59,258/70,195/688 is 1/1420720
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 59,70,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,70,688) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(59,70,688) x common factors =1 x 2 = 2
LCM(59,70,688) = ( 59 × 70 × 688 ) / 2
LCM(59,70,688) = 2841440 / 2
LCM(59,70,688) = 1420720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 11,258,195?
The HCF of 11,258,195 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 11/59, 258/70, 195/688?
Answer: GCF of Numerators as per given numbers 11/59, 258/70, 195/688 is
GCF of Numerators i.e. for 11,258,195 is 1
LCM of denominators i.e. for 59,70,688 is 1420720.
Thus, GCF of Fractions is 1/1420720.Finally, GCF of Fractions for 11/59, 258/70, 195/688 is 1/1420720.