Use our free GCF of Fractions Calculator tool to compute the GCF of 94/770, 97/324, 143/650 i.e 1/8108100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/770, 97/324, 143/650.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/770,97/324,143/650
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 94/770,97/324,143/650, numerators are 94,97,143
Denominators are 770,324,650
The GCF of 94,97,143 is 1 .
LCM of 770,324,650 is 8108100.
The greatest common factor of 94/770,97/324,143/650 = [GCF of 94,97,143]/[LCM of 770,324,650]= 1/8108100
Therefore, the GCF of 94/770,97/324,143/650 is 1/8108100.
To find the highest common factor of 94,97,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 97 are 1, 97
The factors of 143 are 1, 11, 13, 143
The HCF of 94,97,143 is 1.
Lets's calculate GCF of 94,97,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 97
:1,97
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 94,97,143 . The biggest common factor number is the GCF number.
So the greatest common factor 94,97,143 is 1.
Lets's calculate LCM of 770,324,650
2 | 770, 324, 650 |
5 | 385, 162, 325 |
77, 162, 65 |
∴ So the LCM of the given numbers is 2 x 5 x 77 x 162 x 65 = 8108100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8108100
Therefore, the GCF of Fractions 94/770,97/324,143/650 is 1/8108100
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 770,324,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,324,650) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(770,324,650) x common factors =2 x 10 = 20
LCM(770,324,650) = ( 770 × 324 × 650 ) / 20
LCM(770,324,650) = 162162000 / 20
LCM(770,324,650) = 8108100
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,97,143?
The HCF of 94,97,143 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 94/770, 97/324, 143/650?
Answer: GCF of Numerators as per given numbers 94/770, 97/324, 143/650 is
GCF of Numerators i.e. for 94,97,143 is 1
LCM of denominators i.e. for 770,324,650 is 8108100.
Thus, GCF of Fractions is 1/8108100.Finally, GCF of Fractions for 94/770, 97/324, 143/650 is 1/8108100.