Use our free GCF of Fractions Calculator tool to compute the GCF of 98/755, 945/956, 711/489 i.e 1/352950420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/755, 945/956, 711/489.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/755,945/956,711/489
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 98/755,945/956,711/489, numerators are 98,945,711
Denominators are 755,956,489
The GCF of 98,945,711 is 1 .
LCM of 755,956,489 is 352950420.
The greatest common factor of 98/755,945/956,711/489 = [GCF of 98,945,711]/[LCM of 755,956,489]= 1/352950420
Therefore, the GCF of 98/755,945/956,711/489 is 1/352950420.
To find the highest common factor of 98,945,711, 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 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 98,945,711 is 1.
Lets's calculate GCF of 98,945,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 98,945,711 . The biggest common factor number is the GCF number.
So the greatest common factor 98,945,711 is 1.
Lets's calculate LCM of 755,956,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 352950420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352950420
Therefore, the GCF of Fractions 98/755,945/956,711/489 is 1/352950420
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 755,956,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,956,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,956,489) x common factors =1 x 1 = 1
LCM(755,956,489) = ( 755 × 956 × 489 ) / 1
LCM(755,956,489) = 352950420 / 1
LCM(755,956,489) = 352950420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,945,711?
The HCF of 98,945,711 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 98/755, 945/956, 711/489?
Answer: GCF of Numerators as per given numbers 98/755, 945/956, 711/489 is
GCF of Numerators i.e. for 98,945,711 is 1
LCM of denominators i.e. for 755,956,489 is 352950420.
Thus, GCF of Fractions is 1/352950420.Finally, GCF of Fractions for 98/755, 945/956, 711/489 is 1/352950420.