GCF of 4727/659, 4585/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4727/659, 4585/326 i.e 1/214834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4727/659, 4585/326.
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 4727/659,4585/326?
Given fractions are 4727/659,4585/326
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 4727/659,4585/326, numerators are 4727,4585
Denominators are 659,326
The GCF of 4727,4585 is 1 .
LCM of 659,326 is 214834.
The greatest common factor of 4727/659,4585/326 = [GCF of 4727,4585]/[LCM of 659,326]= 1/214834
Therefore, the GCF of 4727/659,4585/326 is 1/214834.
To find the highest common factor of 4727,4585, we have to find the factors of both numbers and list the highest common factor.
The factors of 4727 are 1, 29, 163, 4727
The factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585
The HCF of 4727,4585 is 1.
Lets's calculate GCF of 4727,4585
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4727,4585 By Matching Biggest Common Factor Method
Now, list down the factors of 4727
:1,29,163,4727
Now, list down the factors of 4585
:1,5,7,35,131,655,917,4585
Greatest Common Factor
We found the factors 4727,4585 . The biggest common factor number is the GCF number.
So the greatest common factor 4727,4585 is 1.
Lets's calculate LCM of 659,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 214834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214834
Therefore, the GCF of Fractions 4727/659,4585/326 is 1/214834
Least Common Multiple of 659,326 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 659,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,326) x common factors =1 x 1 = 1
LCM(659,326) = ( 659 × 326 ) / 1
LCM(659,326) = 214834 / 1
LCM(659,326) = 214834
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FAQs on GCF of Fractions of 4727/659, 4585/326
1. What is the HCF of 4727,4585?
The HCF of 4727,4585 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 4727/659, 4585/326?
Answer: GCF of Numerators as per given numbers 4727/659, 4585/326 is
GCF of Numerators i.e. for 4727,4585 is 1
LCM of denominators i.e. for 659,326 is 214834.
Thus, GCF of Fractions is 1/214834.Finally, GCF of Fractions for 4727/659, 4585/326 is 1/214834.