Use our free GCF of Fractions Calculator tool to compute the GCF of 694/177, 225/222 i.e 1/13098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/177, 225/222.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 694/177,225/222
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 694/177,225/222, numerators are 694,225
Denominators are 177,222
The GCF of 694,225 is 1 .
LCM of 177,222 is 13098.
The greatest common factor of 694/177,225/222 = [GCF of 694,225]/[LCM of 177,222]= 1/13098
Therefore, the GCF of 694/177,225/222 is 1/13098.
To find the highest common factor of 694,225, we have to find the factors of both numbers and list the highest common factor.
The factors of 694 are 1, 2, 347, 694
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 694,225 is 1.
Lets's calculate GCF of 694,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 694,225 . The biggest common factor number is the GCF number.
So the greatest common factor 694,225 is 1.
Lets's calculate LCM of 177,222
3 | 177, 222 |
59, 74 |
∴ So the LCM of the given numbers is 3 x 59 x 74 = 13098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13098
Therefore, the GCF of Fractions 694/177,225/222 is 1/13098
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 177,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,222) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(177,222) x common factors =3 x 1 = 3
LCM(177,222) = ( 177 × 222 ) / 3
LCM(177,222) = 39294 / 3
LCM(177,222) = 13098
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 694,225?
The HCF of 694,225 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 694/177, 225/222?
Answer: GCF of Numerators as per given numbers 694/177, 225/222 is
GCF of Numerators i.e. for 694,225 is 1
LCM of denominators i.e. for 177,222 is 13098.
Thus, GCF of Fractions is 1/13098.Finally, GCF of Fractions for 694/177, 225/222 is 1/13098.