Use our free GCF of Fractions Calculator tool to compute the GCF of 876/562, 540/920 i.e 12/258520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/562, 540/920.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 876/562,540/920
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 876/562,540/920, numerators are 876,540
Denominators are 562,920
The GCF of 876,540 is 12 .
LCM of 562,920 is 258520.
The greatest common factor of 876/562,540/920 = [GCF of 876,540]/[LCM of 562,920]= 12/258520
Therefore, the GCF of 876/562,540/920 is 12/258520.
To find the highest common factor of 876,540, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The HCF of 876,540 is 12.
Lets's calculate GCF of 876,540
2 | 876, 540 |
2 | 438, 270 |
3 | 219, 135 |
73, 45 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 876,540 . The biggest common factor number is the GCF number.
So the greatest common factor 876,540 is 12.
Lets's calculate LCM of 562,920
2 | 562, 920 |
281, 460 |
∴ So the LCM of the given numbers is 2 x 281 x 460 = 258520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/258520
Therefore, the GCF of Fractions 876/562,540/920 is 12/258520
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 562,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,920) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,920) x common factors =2 x 1 = 2
LCM(562,920) = ( 562 × 920 ) / 2
LCM(562,920) = 517040 / 2
LCM(562,920) = 258520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 876,540?
The HCF of 876,540 is 12
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 876/562, 540/920?
Answer: GCF of Numerators as per given numbers 876/562, 540/920 is
GCF of Numerators i.e. for 876,540 is 12
LCM of denominators i.e. for 562,920 is 258520.
Thus, GCF of Fractions is 12/258520.Finally, GCF of Fractions for 876/562, 540/920 is 12/258520.