Use our free GCF of Fractions Calculator tool to compute the GCF of 923/686, 152/778 i.e 1/266854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/686, 152/778.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/686,152/778
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 923/686,152/778, numerators are 923,152
Denominators are 686,778
The GCF of 923,152 is 1 .
LCM of 686,778 is 266854.
The greatest common factor of 923/686,152/778 = [GCF of 923,152]/[LCM of 686,778]= 1/266854
Therefore, the GCF of 923/686,152/778 is 1/266854.
To find the highest common factor of 923,152, we have to find the factors of both numbers and list the highest common factor.
The factors of 923 are 1, 13, 71, 923
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The HCF of 923,152 is 1.
Lets's calculate GCF of 923,152
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 923
:1,13,71,923
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 923,152 . The biggest common factor number is the GCF number.
So the greatest common factor 923,152 is 1.
Lets's calculate LCM of 686,778
2 | 686, 778 |
343, 389 |
∴ So the LCM of the given numbers is 2 x 343 x 389 = 266854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266854
Therefore, the GCF of Fractions 923/686,152/778 is 1/266854
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 686,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,778) x common factors =2 x 1 = 2
LCM(686,778) = ( 686 × 778 ) / 2
LCM(686,778) = 533708 / 2
LCM(686,778) = 266854
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 923,152?
The HCF of 923,152 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 923/686, 152/778?
Answer: GCF of Numerators as per given numbers 923/686, 152/778 is
GCF of Numerators i.e. for 923,152 is 1
LCM of denominators i.e. for 686,778 is 266854.
Thus, GCF of Fractions is 1/266854.Finally, GCF of Fractions for 923/686, 152/778 is 1/266854.