GCF of 365/260, 657/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 365/260, 657/609 i.e 73/158340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 365/260, 657/609.
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 365/260,657/609?
Given fractions are 365/260,657/609
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 365/260,657/609, numerators are 365,657
Denominators are 260,609
The GCF of 365,657 is 73 .
LCM of 260,609 is 158340.
The greatest common factor of 365/260,657/609 = [GCF of 365,657]/[LCM of 260,609]= 73/158340
Therefore, the GCF of 365/260,657/609 is 73/158340.
To find the highest common factor of 365,657, we have to find the factors of both numbers and list the highest common factor.
The factors of 365 are 1, 5, 73, 365
The factors of 657 are 1, 3, 9, 73, 219, 657
The HCF of 365,657 is 73.
Lets's calculate GCF of 365,657
| 73 | 365, 657 |
| 5, 9 |
∴ So the GCF of the given numbers is 73 = 73
Greatest Common Factor of 365,657 By Matching Biggest Common Factor Method
Now, list down the factors of 365
:1,5,73,365
Now, list down the factors of 657
:1,3,9,73,219,657
Greatest Common Factor
We found the factors 365,657 . The biggest common factor number is the GCF number.
So the greatest common factor 365,657 is 73.
Lets's calculate LCM of 260,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 158340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/158340
Therefore, the GCF of Fractions 365/260,657/609 is 73/158340
Least Common Multiple of 260,609 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 260,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(260,609) x common factors =1 x 1 = 1
LCM(260,609) = ( 260 × 609 ) / 1
LCM(260,609) = 158340 / 1
LCM(260,609) = 158340
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 365/260, 657/609
1. What is the HCF of 365,657?
The HCF of 365,657 is 73
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 365/260, 657/609?
Answer: GCF of Numerators as per given numbers 365/260, 657/609 is
GCF of Numerators i.e. for 365,657 is 73
LCM of denominators i.e. for 260,609 is 158340.
Thus, GCF of Fractions is 73/158340.Finally, GCF of Fractions for 365/260, 657/609 is 73/158340.