Use our free GCF of Fractions Calculator tool to compute the GCF of 98/88, 686/73, 780/989 i.e 2/6353336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/88, 686/73, 780/989.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/88,686/73,780/989
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 98/88,686/73,780/989, numerators are 98,686,780
Denominators are 88,73,989
The GCF of 98,686,780 is 2 .
LCM of 88,73,989 is 6353336.
The greatest common factor of 98/88,686/73,780/989 = [GCF of 98,686,780]/[LCM of 88,73,989]= 2/6353336
Therefore, the GCF of 98/88,686/73,780/989 is 2/6353336.
To find the highest common factor of 98,686,780, 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 686 are 1, 2, 7, 14, 49, 98, 343, 686
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The HCF of 98,686,780 is 2.
Lets's calculate GCF of 98,686,780
2 | 98, 686, 780 |
49, 343, 390 |
∴ 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 686
:1,2,7,14,49,98,343,686
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 98,686,780 . The biggest common factor number is the GCF number.
So the greatest common factor 98,686,780 is 2.
Lets's calculate LCM of 88,73,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 6353336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6353336
Therefore, the GCF of Fractions 98/88,686/73,780/989 is 2/6353336
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 88,73,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,73,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,73,989) x common factors =1 x 1 = 1
LCM(88,73,989) = ( 88 × 73 × 989 ) / 1
LCM(88,73,989) = 6353336 / 1
LCM(88,73,989) = 6353336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,686,780?
The HCF of 98,686,780 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 98/88, 686/73, 780/989?
Answer: GCF of Numerators as per given numbers 98/88, 686/73, 780/989 is
GCF of Numerators i.e. for 98,686,780 is 2
LCM of denominators i.e. for 88,73,989 is 6353336.
Thus, GCF of Fractions is 2/6353336.Finally, GCF of Fractions for 98/88, 686/73, 780/989 is 2/6353336.