Use our free GCF of Fractions Calculator tool to compute the GCF of 970/352, 512/858 i.e 2/13728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/352, 512/858.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 970/352,512/858
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 970/352,512/858, numerators are 970,512
Denominators are 352,858
The GCF of 970,512 is 2 .
LCM of 352,858 is 13728.
The greatest common factor of 970/352,512/858 = [GCF of 970,512]/[LCM of 352,858]= 2/13728
Therefore, the GCF of 970/352,512/858 is 2/13728.
To find the highest common factor of 970,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 970,512 is 2.
Lets's calculate GCF of 970,512
2 | 970, 512 |
485, 256 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 970,512 . The biggest common factor number is the GCF number.
So the greatest common factor 970,512 is 2.
Lets's calculate LCM of 352,858
2 | 352, 858 |
11 | 176, 429 |
16, 39 |
∴ So the LCM of the given numbers is 2 x 11 x 16 x 39 = 13728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13728
Therefore, the GCF of Fractions 970/352,512/858 is 2/13728
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 352,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,858) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(352,858) x common factors =22 x 1 = 22
LCM(352,858) = ( 352 × 858 ) / 22
LCM(352,858) = 302016 / 22
LCM(352,858) = 13728
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 970,512?
The HCF of 970,512 is 2
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 970/352, 512/858?
Answer: GCF of Numerators as per given numbers 970/352, 512/858 is
GCF of Numerators i.e. for 970,512 is 2
LCM of denominators i.e. for 352,858 is 13728.
Thus, GCF of Fractions is 2/13728.Finally, GCF of Fractions for 970/352, 512/858 is 2/13728.