Use our free GCF of Fractions Calculator tool to compute the GCF of 638/716, 275/170 i.e 11/60860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 638/716, 275/170.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 638/716,275/170
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 638/716,275/170, numerators are 638,275
Denominators are 716,170
The GCF of 638,275 is 11 .
LCM of 716,170 is 60860.
The greatest common factor of 638/716,275/170 = [GCF of 638,275]/[LCM of 716,170]= 11/60860
Therefore, the GCF of 638/716,275/170 is 11/60860.
To find the highest common factor of 638,275, we have to find the factors of both numbers and list the highest common factor.
The factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638
The factors of 275 are 1, 5, 11, 25, 55, 275
The HCF of 638,275 is 11.
Lets's calculate GCF of 638,275
11 | 638, 275 |
58, 25 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 638
:1,2,11,22,29,58,319,638
Now, list down the factors of 275
:1,5,11,25,55,275
Greatest Common Factor
We found the factors 638,275 . The biggest common factor number is the GCF number.
So the greatest common factor 638,275 is 11.
Lets's calculate LCM of 716,170
2 | 716, 170 |
358, 85 |
∴ So the LCM of the given numbers is 2 x 358 x 85 = 60860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/60860
Therefore, the GCF of Fractions 638/716,275/170 is 11/60860
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 716,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(716,170) x common factors =2 x 1 = 2
LCM(716,170) = ( 716 × 170 ) / 2
LCM(716,170) = 121720 / 2
LCM(716,170) = 60860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 638,275?
The HCF of 638,275 is 11
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 638/716, 275/170?
Answer: GCF of Numerators as per given numbers 638/716, 275/170 is
GCF of Numerators i.e. for 638,275 is 11
LCM of denominators i.e. for 716,170 is 60860.
Thus, GCF of Fractions is 11/60860.Finally, GCF of Fractions for 638/716, 275/170 is 11/60860.