GCF of 1658/344, 9635/2565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1658/344, 9635/2565 i.e 1/882360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1658/344, 9635/2565.
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 1658/344,9635/2565?
Given fractions are 1658/344,9635/2565
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 1658/344,9635/2565, numerators are 1658,9635
Denominators are 344,2565
The GCF of 1658,9635 is 1 .
LCM of 344,2565 is 882360.
The greatest common factor of 1658/344,9635/2565 = [GCF of 1658,9635]/[LCM of 344,2565]= 1/882360
Therefore, the GCF of 1658/344,9635/2565 is 1/882360.
To find the highest common factor of 1658,9635, we have to find the factors of both numbers and list the highest common factor.
The factors of 1658 are 1, 2, 829, 1658
The factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635
The HCF of 1658,9635 is 1.
Lets's calculate GCF of 1658,9635
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1658,9635 By Matching Biggest Common Factor Method
Now, list down the factors of 1658
:1,2,829,1658
Now, list down the factors of 9635
:1,5,41,47,205,235,1927,9635
Greatest Common Factor
We found the factors 1658,9635 . The biggest common factor number is the GCF number.
So the greatest common factor 1658,9635 is 1.
Lets's calculate LCM of 344,2565
Given numbers has no common factors except 1. So, there LCM is their product i.e 882360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/882360
Therefore, the GCF of Fractions 1658/344,9635/2565 is 1/882360
Least Common Multiple of 344,2565 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 344,2565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,2565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(344,2565) x common factors =1 x 1 = 1
LCM(344,2565) = ( 344 × 2565 ) / 1
LCM(344,2565) = 882360 / 1
LCM(344,2565) = 882360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1658/344, 9635/2565
1. What is the HCF of 1658,9635?
The HCF of 1658,9635 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 1658/344, 9635/2565?
Answer: GCF of Numerators as per given numbers 1658/344, 9635/2565 is
GCF of Numerators i.e. for 1658,9635 is 1
LCM of denominators i.e. for 344,2565 is 882360.
Thus, GCF of Fractions is 1/882360.Finally, GCF of Fractions for 1658/344, 9635/2565 is 1/882360.