Use our free GCF of Fractions Calculator tool to compute the GCF of 79/46, 214/62, 656/102 i.e 1/72726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/46, 214/62, 656/102.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/46,214/62,656/102
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 79/46,214/62,656/102, numerators are 79,214,656
Denominators are 46,62,102
The GCF of 79,214,656 is 1 .
LCM of 46,62,102 is 72726.
The greatest common factor of 79/46,214/62,656/102 = [GCF of 79,214,656]/[LCM of 46,62,102]= 1/72726
Therefore, the GCF of 79/46,214/62,656/102 is 1/72726.
To find the highest common factor of 79,214,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 214 are 1, 2, 107, 214
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 79,214,656 is 1.
Lets's calculate GCF of 79,214,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 79
:1,79
Now, list down the factors of 214
:1,2,107,214
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 79,214,656 . The biggest common factor number is the GCF number.
So the greatest common factor 79,214,656 is 1.
Lets's calculate LCM of 46,62,102
2 | 46, 62, 102 |
23, 31, 51 |
∴ So the LCM of the given numbers is 2 x 23 x 31 x 51 = 72726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72726
Therefore, the GCF of Fractions 79/46,214/62,656/102 is 1/72726
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 46,62,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,62,102) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(46,62,102) x common factors =2 x 2 = 4
LCM(46,62,102) = ( 46 × 62 × 102 ) / 4
LCM(46,62,102) = 290904 / 4
LCM(46,62,102) = 72726
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,214,656?
The HCF of 79,214,656 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 79/46, 214/62, 656/102?
Answer: GCF of Numerators as per given numbers 79/46, 214/62, 656/102 is
GCF of Numerators i.e. for 79,214,656 is 1
LCM of denominators i.e. for 46,62,102 is 72726.
Thus, GCF of Fractions is 1/72726.Finally, GCF of Fractions for 79/46, 214/62, 656/102 is 1/72726.