Use our free GCF of Fractions Calculator tool to compute the GCF of 920/345, 888/975 i.e 8/22425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/345, 888/975.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/345,888/975
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 920/345,888/975, numerators are 920,888
Denominators are 345,975
The GCF of 920,888 is 8 .
LCM of 345,975 is 22425.
The greatest common factor of 920/345,888/975 = [GCF of 920,888]/[LCM of 345,975]= 8/22425
Therefore, the GCF of 920/345,888/975 is 8/22425.
To find the highest common factor of 920,888, we have to find the factors of both numbers and list the highest common factor.
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
The HCF of 920,888 is 8.
Lets's calculate GCF of 920,888
2 | 920, 888 |
2 | 460, 444 |
2 | 230, 222 |
115, 111 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Now, list down the factors of 888
:1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 920,888 . The biggest common factor number is the GCF number.
So the greatest common factor 920,888 is 8.
Lets's calculate LCM of 345,975
3 | 345, 975 |
5 | 115, 325 |
23, 65 |
∴ So the LCM of the given numbers is 3 x 5 x 23 x 65 = 22425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/22425
Therefore, the GCF of Fractions 920/345,888/975 is 8/22425
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 345,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,975) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(345,975) x common factors =15 x 1 = 15
LCM(345,975) = ( 345 × 975 ) / 15
LCM(345,975) = 336375 / 15
LCM(345,975) = 22425
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 920,888?
The HCF of 920,888 is 8
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 920/345, 888/975?
Answer: GCF of Numerators as per given numbers 920/345, 888/975 is
GCF of Numerators i.e. for 920,888 is 8
LCM of denominators i.e. for 345,975 is 22425.
Thus, GCF of Fractions is 8/22425.Finally, GCF of Fractions for 920/345, 888/975 is 8/22425.