Use our free GCF of Fractions Calculator tool to compute the GCF of 63/298, 70/173, 862/170 i.e 1/4382090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/298, 70/173, 862/170.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/298,70/173,862/170
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 63/298,70/173,862/170, numerators are 63,70,862
Denominators are 298,173,170
The GCF of 63,70,862 is 1 .
LCM of 298,173,170 is 4382090.
The greatest common factor of 63/298,70/173,862/170 = [GCF of 63,70,862]/[LCM of 298,173,170]= 1/4382090
Therefore, the GCF of 63/298,70/173,862/170 is 1/4382090.
To find the highest common factor of 63,70,862, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 862 are 1, 2, 431, 862
The HCF of 63,70,862 is 1.
Lets's calculate GCF of 63,70,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 862
:1,2,431,862
Greatest Common Factor
We found the factors 63,70,862 . The biggest common factor number is the GCF number.
So the greatest common factor 63,70,862 is 1.
Lets's calculate LCM of 298,173,170
2 | 298, 173, 170 |
149, 173, 85 |
∴ So the LCM of the given numbers is 2 x 149 x 173 x 85 = 4382090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4382090
Therefore, the GCF of Fractions 63/298,70/173,862/170 is 1/4382090
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 298,173,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,173,170) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(298,173,170) x common factors =1 x 2 = 2
LCM(298,173,170) = ( 298 × 173 × 170 ) / 2
LCM(298,173,170) = 8764180 / 2
LCM(298,173,170) = 4382090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,70,862?
The HCF of 63,70,862 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 63/298, 70/173, 862/170?
Answer: GCF of Numerators as per given numbers 63/298, 70/173, 862/170 is
GCF of Numerators i.e. for 63,70,862 is 1
LCM of denominators i.e. for 298,173,170 is 4382090.
Thus, GCF of Fractions is 1/4382090.Finally, GCF of Fractions for 63/298, 70/173, 862/170 is 1/4382090.