GCF of 2357/201, 7735/472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2357/201, 7735/472 i.e 1/94872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2357/201, 7735/472.
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 2357/201,7735/472?
Given fractions are 2357/201,7735/472
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 2357/201,7735/472, numerators are 2357,7735
Denominators are 201,472
The GCF of 2357,7735 is 1 .
LCM of 201,472 is 94872.
The greatest common factor of 2357/201,7735/472 = [GCF of 2357,7735]/[LCM of 201,472]= 1/94872
Therefore, the GCF of 2357/201,7735/472 is 1/94872.
To find the highest common factor of 2357,7735, we have to find the factors of both numbers and list the highest common factor.
The factors of 2357 are 1, 2357
The factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735
The HCF of 2357,7735 is 1.
Lets's calculate GCF of 2357,7735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2357,7735 By Matching Biggest Common Factor Method
Now, list down the factors of 2357
:1,2357
Now, list down the factors of 7735
:1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735
Greatest Common Factor
We found the factors 2357,7735 . The biggest common factor number is the GCF number.
So the greatest common factor 2357,7735 is 1.
Lets's calculate LCM of 201,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 94872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94872
Therefore, the GCF of Fractions 2357/201,7735/472 is 1/94872
Least Common Multiple of 201,472 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 201,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,472) x common factors =1 x 1 = 1
LCM(201,472) = ( 201 × 472 ) / 1
LCM(201,472) = 94872 / 1
LCM(201,472) = 94872
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2357/201, 7735/472
1. What is the HCF of 2357,7735?
The HCF of 2357,7735 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 2357/201, 7735/472?
Answer: GCF of Numerators as per given numbers 2357/201, 7735/472 is
GCF of Numerators i.e. for 2357,7735 is 1
LCM of denominators i.e. for 201,472 is 94872.
Thus, GCF of Fractions is 1/94872.Finally, GCF of Fractions for 2357/201, 7735/472 is 1/94872.