Use our free GCF of Fractions Calculator tool to compute the GCF of 465/91, 297/638 i.e 3/58058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 465/91, 297/638.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 465/91,297/638
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 465/91,297/638, numerators are 465,297
Denominators are 91,638
The GCF of 465,297 is 3 .
LCM of 91,638 is 58058.
The greatest common factor of 465/91,297/638 = [GCF of 465,297]/[LCM of 91,638]= 3/58058
Therefore, the GCF of 465/91,297/638 is 3/58058.
To find the highest common factor of 465,297, we have to find the factors of both numbers and list the highest common factor.
The factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The HCF of 465,297 is 3.
Lets's calculate GCF of 465,297
3 | 465, 297 |
155, 99 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 465
:1,3,5,15,31,93,155,465
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 465,297 . The biggest common factor number is the GCF number.
So the greatest common factor 465,297 is 3.
Lets's calculate LCM of 91,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 58058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58058
Therefore, the GCF of Fractions 465/91,297/638 is 3/58058
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 91,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,638) x common factors =1 x 1 = 1
LCM(91,638) = ( 91 × 638 ) / 1
LCM(91,638) = 58058 / 1
LCM(91,638) = 58058
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 465,297?
The HCF of 465,297 is 3
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 465/91, 297/638?
Answer: GCF of Numerators as per given numbers 465/91, 297/638 is
GCF of Numerators i.e. for 465,297 is 3
LCM of denominators i.e. for 91,638 is 58058.
Thus, GCF of Fractions is 3/58058.Finally, GCF of Fractions for 465/91, 297/638 is 3/58058.