GCF of 97/65, 39/209, 732/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 97/65, 39/209, 732/407 i.e 1/502645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/65, 39/209, 732/407.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 97/65,39/209,732/407?
Given fractions are 97/65,39/209,732/407
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 97/65,39/209,732/407, numerators are 97,39,732
Denominators are 65,209,407
The GCF of 97,39,732 is 1 .
LCM of 65,209,407 is 502645.
The greatest common factor of 97/65,39/209,732/407 = [GCF of 97,39,732]/[LCM of 65,209,407]= 1/502645
Therefore, the GCF of 97/65,39/209,732/407 is 1/502645.
To find the highest common factor of 97,39,732, 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 39 are 1, 3, 13, 39
The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
The HCF of 97,39,732 is 1.
Lets's calculate GCF of 97,39,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 97,39,732 By Matching Biggest Common Factor Method
Now, list down the factors of 97
:1,97
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 732
:1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 97,39,732 . The biggest common factor number is the GCF number.
So the greatest common factor 97,39,732 is 1.
Lets's calculate LCM of 65,209,407
| 11 | 65, 209, 407 |
| 65, 19, 37 |
∴ So the LCM of the given numbers is 11 x 65 x 19 x 37 = 502645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502645
Therefore, the GCF of Fractions 97/65,39/209,732/407 is 1/502645
Least Common Multiple of 65,209,407 with GCF Formula
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 65,209,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,209,407) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(65,209,407) x common factors =1 x 11 = 11
LCM(65,209,407) = ( 65 × 209 × 407 ) / 11
LCM(65,209,407) = 5529095 / 11
LCM(65,209,407) = 502645
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 97/65, 39/209, 732/407
1. What is the HCF of 97,39,732?
The HCF of 97,39,732 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 97/65, 39/209, 732/407?
Answer: GCF of Numerators as per given numbers 97/65, 39/209, 732/407 is
GCF of Numerators i.e. for 97,39,732 is 1
LCM of denominators i.e. for 65,209,407 is 502645.
Thus, GCF of Fractions is 1/502645.Finally, GCF of Fractions for 97/65, 39/209, 732/407 is 1/502645.