Use our free GCF of Fractions Calculator tool to compute the GCF of 97/27, 63/896, 174/638 i.e 1/7717248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/27, 63/896, 174/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/27,63/896,174/638
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 97/27,63/896,174/638, numerators are 97,63,174
Denominators are 27,896,638
The GCF of 97,63,174 is 1 .
LCM of 27,896,638 is 7717248.
The greatest common factor of 97/27,63/896,174/638 = [GCF of 97,63,174]/[LCM of 27,896,638]= 1/7717248
Therefore, the GCF of 97/27,63/896,174/638 is 1/7717248.
To find the highest common factor of 97,63,174, 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 63 are 1, 3, 7, 9, 21, 63
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The HCF of 97,63,174 is 1.
Lets's calculate GCF of 97,63,174
∴ 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 63
:1,3,7,9,21,63
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 97,63,174 . The biggest common factor number is the GCF number.
So the greatest common factor 97,63,174 is 1.
Lets's calculate LCM of 27,896,638
2 | 27, 896, 638 |
27, 448, 319 |
∴ So the LCM of the given numbers is 2 x 27 x 448 x 319 = 7717248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7717248
Therefore, the GCF of Fractions 97/27,63/896,174/638 is 1/7717248
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 27,896,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,896,638) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(27,896,638) x common factors =1 x 2 = 2
LCM(27,896,638) = ( 27 × 896 × 638 ) / 2
LCM(27,896,638) = 15434496 / 2
LCM(27,896,638) = 7717248
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,63,174?
The HCF of 97,63,174 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 97/27, 63/896, 174/638?
Answer: GCF of Numerators as per given numbers 97/27, 63/896, 174/638 is
GCF of Numerators i.e. for 97,63,174 is 1
LCM of denominators i.e. for 27,896,638 is 7717248.
Thus, GCF of Fractions is 1/7717248.Finally, GCF of Fractions for 97/27, 63/896, 174/638 is 1/7717248.