Use our free GCF of Fractions Calculator tool to compute the GCF of 98/279, 76/240, 640/223 i.e 2/4977360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/279, 76/240, 640/223.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/279,76/240,640/223
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 98/279,76/240,640/223, numerators are 98,76,640
Denominators are 279,240,223
The GCF of 98,76,640 is 2 .
LCM of 279,240,223 is 4977360.
The greatest common factor of 98/279,76/240,640/223 = [GCF of 98,76,640]/[LCM of 279,240,223]= 2/4977360
Therefore, the GCF of 98/279,76/240,640/223 is 2/4977360.
To find the highest common factor of 98,76,640, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The HCF of 98,76,640 is 2.
Lets's calculate GCF of 98,76,640
2 | 98, 76, 640 |
49, 38, 320 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 98,76,640 . The biggest common factor number is the GCF number.
So the greatest common factor 98,76,640 is 2.
Lets's calculate LCM of 279,240,223
3 | 279, 240, 223 |
93, 80, 223 |
∴ So the LCM of the given numbers is 3 x 93 x 80 x 223 = 4977360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4977360
Therefore, the GCF of Fractions 98/279,76/240,640/223 is 2/4977360
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 279,240,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,240,223) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(279,240,223) x common factors =1 x 3 = 3
LCM(279,240,223) = ( 279 × 240 × 223 ) / 3
LCM(279,240,223) = 14932080 / 3
LCM(279,240,223) = 4977360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,76,640?
The HCF of 98,76,640 is 2
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 98/279, 76/240, 640/223?
Answer: GCF of Numerators as per given numbers 98/279, 76/240, 640/223 is
GCF of Numerators i.e. for 98,76,640 is 2
LCM of denominators i.e. for 279,240,223 is 4977360.
Thus, GCF of Fractions is 2/4977360.Finally, GCF of Fractions for 98/279, 76/240, 640/223 is 2/4977360.