Use our free GCF of Fractions Calculator tool to compute the GCF of 98/10, 768/70, 430/480 i.e 2/3360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/10, 768/70, 430/480.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/10,768/70,430/480
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 98/10,768/70,430/480, numerators are 98,768,430
Denominators are 10,70,480
The GCF of 98,768,430 is 2 .
LCM of 10,70,480 is 3360.
The greatest common factor of 98/10,768/70,430/480 = [GCF of 98,768,430]/[LCM of 10,70,480]= 2/3360
Therefore, the GCF of 98/10,768/70,430/480 is 2/3360.
To find the highest common factor of 98,768,430, 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 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 98,768,430 is 2.
Lets's calculate GCF of 98,768,430
2 | 98, 768, 430 |
49, 384, 215 |
∴ 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 768
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 98,768,430 . The biggest common factor number is the GCF number.
So the greatest common factor 98,768,430 is 2.
Lets's calculate LCM of 10,70,480
2 | 10, 70, 480 |
5 | 5, 35, 240 |
1, 7, 48 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 7 x 48 = 3360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3360
Therefore, the GCF of Fractions 98/10,768/70,430/480 is 2/3360
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 10,70,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,70,480) = 10
common factors(in case of two or more numbers have common factors) = 10
GCF(10,70,480) x common factors =10 x 10 = 100
LCM(10,70,480) = ( 10 × 70 × 480 ) / 100
LCM(10,70,480) = 336000 / 100
LCM(10,70,480) = 3360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,768,430?
The HCF of 98,768,430 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 98/10, 768/70, 430/480?
Answer: GCF of Numerators as per given numbers 98/10, 768/70, 430/480 is
GCF of Numerators i.e. for 98,768,430 is 2
LCM of denominators i.e. for 10,70,480 is 3360.
Thus, GCF of Fractions is 2/3360.Finally, GCF of Fractions for 98/10, 768/70, 430/480 is 2/3360.