Use our free GCF of Fractions Calculator tool to compute the GCF of 68/540, 34/898, 833/941 i.e 17/228154860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/540, 34/898, 833/941.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/540,34/898,833/941
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 68/540,34/898,833/941, numerators are 68,34,833
Denominators are 540,898,941
The GCF of 68,34,833 is 17 .
LCM of 540,898,941 is 228154860.
The greatest common factor of 68/540,34/898,833/941 = [GCF of 68,34,833]/[LCM of 540,898,941]= 17/228154860
Therefore, the GCF of 68/540,34/898,833/941 is 17/228154860.
To find the highest common factor of 68,34,833, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 34 are 1, 2, 17, 34
The factors of 833 are 1, 7, 17, 49, 119, 833
The HCF of 68,34,833 is 17.
Lets's calculate GCF of 68,34,833
17 | 68, 34, 833 |
4, 2, 49 |
∴ So the GCF of the given numbers is 17 = 17
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 833
:1,7,17,49,119,833
Greatest Common Factor
We found the factors 68,34,833 . The biggest common factor number is the GCF number.
So the greatest common factor 68,34,833 is 17.
Lets's calculate LCM of 540,898,941
2 | 540, 898, 941 |
270, 449, 941 |
∴ So the LCM of the given numbers is 2 x 270 x 449 x 941 = 228154860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/228154860
Therefore, the GCF of Fractions 68/540,34/898,833/941 is 17/228154860
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 540,898,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,898,941) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(540,898,941) x common factors =1 x 2 = 2
LCM(540,898,941) = ( 540 × 898 × 941 ) / 2
LCM(540,898,941) = 456309720 / 2
LCM(540,898,941) = 228154860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 68,34,833?
The HCF of 68,34,833 is 17
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 68/540, 34/898, 833/941?
Answer: GCF of Numerators as per given numbers 68/540, 34/898, 833/941 is
GCF of Numerators i.e. for 68,34,833 is 17
LCM of denominators i.e. for 540,898,941 is 228154860.
Thus, GCF of Fractions is 17/228154860.Finally, GCF of Fractions for 68/540, 34/898, 833/941 is 17/228154860.