Use our free GCF of Fractions Calculator tool to compute the GCF of 97/550, 95/754, 303/691 i.e 1/143278850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/550, 95/754, 303/691.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/550,95/754,303/691
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 97/550,95/754,303/691, numerators are 97,95,303
Denominators are 550,754,691
The GCF of 97,95,303 is 1 .
LCM of 550,754,691 is 143278850.
The greatest common factor of 97/550,95/754,303/691 = [GCF of 97,95,303]/[LCM of 550,754,691]= 1/143278850
Therefore, the GCF of 97/550,95/754,303/691 is 1/143278850.
To find the highest common factor of 97,95,303, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 95 are 1, 5, 19, 95
The factors of 303 are 1, 3, 101, 303
The HCF of 97,95,303 is 1.
Lets's calculate GCF of 97,95,303
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 303
:1,3,101,303
Greatest Common Factor
We found the factors 97,95,303 . The biggest common factor number is the GCF number.
So the greatest common factor 97,95,303 is 1.
Lets's calculate LCM of 550,754,691
2 | 550, 754, 691 |
275, 377, 691 |
∴ So the LCM of the given numbers is 2 x 275 x 377 x 691 = 143278850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143278850
Therefore, the GCF of Fractions 97/550,95/754,303/691 is 1/143278850
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 550,754,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,754,691) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(550,754,691) x common factors =1 x 2 = 2
LCM(550,754,691) = ( 550 × 754 × 691 ) / 2
LCM(550,754,691) = 286557700 / 2
LCM(550,754,691) = 143278850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,95,303?
The HCF of 97,95,303 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 97/550, 95/754, 303/691?
Answer: GCF of Numerators as per given numbers 97/550, 95/754, 303/691 is
GCF of Numerators i.e. for 97,95,303 is 1
LCM of denominators i.e. for 550,754,691 is 143278850.
Thus, GCF of Fractions is 1/143278850.Finally, GCF of Fractions for 97/550, 95/754, 303/691 is 1/143278850.