Use our free GCF of Fractions Calculator tool to compute the GCF of 70/96, 79/462, 177/672 i.e 1/7392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 70/96, 79/462, 177/672.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/96,79/462,177/672
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 70/96,79/462,177/672, numerators are 70,79,177
Denominators are 96,462,672
The GCF of 70,79,177 is 1 .
LCM of 96,462,672 is 7392.
The greatest common factor of 70/96,79/462,177/672 = [GCF of 70,79,177]/[LCM of 96,462,672]= 1/7392
Therefore, the GCF of 70/96,79/462,177/672 is 1/7392.
To find the highest common factor of 70,79,177, we have to find the factors of both numbers and list the highest common factor.
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 79 are 1, 79
The factors of 177 are 1, 3, 59, 177
The HCF of 70,79,177 is 1.
Lets's calculate GCF of 70,79,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 79
:1,79
Now, list down the factors of 177
:1,3,59,177
Greatest Common Factor
We found the factors 70,79,177 . The biggest common factor number is the GCF number.
So the greatest common factor 70,79,177 is 1.
Lets's calculate LCM of 96,462,672
2 | 96, 462, 672 |
2 | 48, 231, 336 |
2 | 24, 231, 168 |
2 | 12, 231, 84 |
2 | 6, 231, 42 |
3 | 3, 231, 21 |
7 | 1, 77, 7 |
1, 11, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 11 x 1 = 7392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7392
Therefore, the GCF of Fractions 70/96,79/462,177/672 is 1/7392
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 96,462,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,462,672) = 6
common factors(in case of two or more numbers have common factors) = 672
GCF(96,462,672) x common factors =6 x 672 = 4032
LCM(96,462,672) = ( 96 × 462 × 672 ) / 4032
LCM(96,462,672) = 29804544 / 4032
LCM(96,462,672) = 7392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 70,79,177?
The HCF of 70,79,177 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 70/96, 79/462, 177/672?
Answer: GCF of Numerators as per given numbers 70/96, 79/462, 177/672 is
GCF of Numerators i.e. for 70,79,177 is 1
LCM of denominators i.e. for 96,462,672 is 7392.
Thus, GCF of Fractions is 1/7392.Finally, GCF of Fractions for 70/96, 79/462, 177/672 is 1/7392.