How to Find GCF of 235/507, 4097/9035?

GCF of 235/507, 4097/9035

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 235/507, 4097/9035 i.e 1/352365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/507, 4097/9035.

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 235/507,4097/9035?

Given fractions are 235/507,4097/9035

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 235/507,4097/9035, numerators are 235,4097

Denominators are 507,9035

The GCF of 235,4097 is 1 .

LCM of 507,9035 is 352365.

The greatest common factor of 235/507,4097/9035 = [GCF of 235,4097]/[LCM of 507,9035]= 1/352365

Therefore, the GCF of 235/507,4097/9035 is 1/352365.

Greatest Common Factor of 235,4097

To find the highest common factor of 235,4097, we have to find the factors of both numbers and list the highest common factor.

The factors of 235 are 1, 5, 47, 235

The factors of 4097 are 1, 17, 241, 4097

The HCF of 235,4097 is 1.

Lets's calculate GCF of 235,4097

Greatest Common Factor (GCF) of 235,4097 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 235,4097 By Matching Biggest Common Factor Method

Now, list down the factors of 235

1,5,47,235

Now, list down the factors of 4097

1,17,241,4097

Greatest Common Factor

We found the factors 235,4097 . The biggest common factor number is the GCF number.
So the greatest common factor 235,4097 is 1.

Lets's calculate LCM of 507,9035

Lowest Common Multiple of 507,9035 using Common Division

13	507, 9035
	39, 695

∴ So the LCM of the given numbers is 13 x 39 x 695 = 352365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352365

Therefore, the GCF of Fractions 235/507,4097/9035 is 1/352365

Least Common Multiple of 507,9035 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 507,9035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,9035) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(507,9035) x common factors =13 x 1 = 13

LCM(507,9035) = ( 507 × 9035 ) / 13

LCM(507,9035) = 4580745 / 13

LCM(507,9035) = 352365

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FAQs on GCF of Fractions of 235/507, 4097/9035

1. What is the HCF of 235,4097?

The HCF of 235,4097 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 235/507, 4097/9035?

Answer: GCF of Numerators as per given numbers 235/507, 4097/9035 is

GCF of Numerators i.e. for 235,4097 is 1

LCM of denominators i.e. for 507,9035 is 352365.

Thus, GCF of Fractions is 1/352365.Finally, GCF of Fractions for 235/507, 4097/9035 is 1/352365.