Use our free GCF of Fractions Calculator tool to compute the GCF of 96/49, 805/21, 698/284 i.e 1/41748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/49, 805/21, 698/284.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/49,805/21,698/284
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 96/49,805/21,698/284, numerators are 96,805,698
Denominators are 49,21,284
The GCF of 96,805,698 is 1 .
LCM of 49,21,284 is 41748.
The greatest common factor of 96/49,805/21,698/284 = [GCF of 96,805,698]/[LCM of 49,21,284]= 1/41748
Therefore, the GCF of 96/49,805/21,698/284 is 1/41748.
To find the highest common factor of 96,805,698, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 805 are 1, 5, 7, 23, 35, 115, 161, 805
The factors of 698 are 1, 2, 349, 698
The HCF of 96,805,698 is 1.
Lets's calculate GCF of 96,805,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 805
:1,5,7,23,35,115,161,805
Now, list down the factors of 698
:1,2,349,698
Greatest Common Factor
We found the factors 96,805,698 . The biggest common factor number is the GCF number.
So the greatest common factor 96,805,698 is 1.
Lets's calculate LCM of 49,21,284
7 | 49, 21, 284 |
7, 3, 284 |
∴ So the LCM of the given numbers is 7 x 7 x 3 x 284 = 41748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41748
Therefore, the GCF of Fractions 96/49,805/21,698/284 is 1/41748
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 49,21,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,21,284) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(49,21,284) x common factors =1 x 7 = 7
LCM(49,21,284) = ( 49 × 21 × 284 ) / 7
LCM(49,21,284) = 292236 / 7
LCM(49,21,284) = 41748
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,805,698?
The HCF of 96,805,698 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 96/49, 805/21, 698/284?
Answer: GCF of Numerators as per given numbers 96/49, 805/21, 698/284 is
GCF of Numerators i.e. for 96,805,698 is 1
LCM of denominators i.e. for 49,21,284 is 41748.
Thus, GCF of Fractions is 1/41748.Finally, GCF of Fractions for 96/49, 805/21, 698/284 is 1/41748.