Use our free GCF of Fractions Calculator tool to compute the GCF of 880/546, 872/564 i.e 8/51324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/546, 872/564.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 880/546,872/564
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 880/546,872/564, numerators are 880,872
Denominators are 546,564
The GCF of 880,872 is 8 .
LCM of 546,564 is 51324.
The greatest common factor of 880/546,872/564 = [GCF of 880,872]/[LCM of 546,564]= 8/51324
Therefore, the GCF of 880/546,872/564 is 8/51324.
To find the highest common factor of 880,872, we have to find the factors of both numbers and list the highest common factor.
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872
The HCF of 880,872 is 8.
Lets's calculate GCF of 880,872
2 | 880, 872 |
2 | 440, 436 |
2 | 220, 218 |
110, 109 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Now, list down the factors of 872
:1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 880,872 . The biggest common factor number is the GCF number.
So the greatest common factor 880,872 is 8.
Lets's calculate LCM of 546,564
2 | 546, 564 |
3 | 273, 282 |
91, 94 |
∴ So the LCM of the given numbers is 2 x 3 x 91 x 94 = 51324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/51324
Therefore, the GCF of Fractions 880/546,872/564 is 8/51324
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 546,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,564) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(546,564) x common factors =6 x 1 = 6
LCM(546,564) = ( 546 × 564 ) / 6
LCM(546,564) = 307944 / 6
LCM(546,564) = 51324
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 880,872?
The HCF of 880,872 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 880/546, 872/564?
Answer: GCF of Numerators as per given numbers 880/546, 872/564 is
GCF of Numerators i.e. for 880,872 is 8
LCM of denominators i.e. for 546,564 is 51324.
Thus, GCF of Fractions is 8/51324.Finally, GCF of Fractions for 880/546, 872/564 is 8/51324.