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GCF of 235/15, 577/421

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 235/15, 577/421 i.e 1/6315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/15, 577/421.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 235/15,577/421?

Given fractions are 235/15,577/421

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 235/15,577/421, numerators are 235,577

Denominators are 15,421

The GCF of 235,577 is 1 .

LCM of 15,421 is 6315.

The greatest common factor of 235/15,577/421 = [GCF of 235,577]/[LCM of 15,421]= 1/6315

Therefore, the GCF of 235/15,577/421 is 1/6315.

Greatest Common Factor of 235,577

To find the highest common factor of 235,577, 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 577 are 1, 577

The HCF of 235,577 is 1.

Lets's calculate GCF of 235,577

Greatest Common Factor (GCF) of 235,577 By Common Division

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

Greatest Common Factor of 235,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,577 By Matching Biggest Common Factor Method

Now, list down the factors of 235

:

1,5,47,235

Now, list down the factors of 577

:

1,577

Greatest Common Factor

We found the factors 235,577 . The biggest common factor number is the GCF number.
So the greatest common factor 235,577 is 1.

Lets's calculate LCM of 15,421

Lowest Common Multiple of 15,421 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6315

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6315

Therefore, the GCF of Fractions 235/15,577/421 is 1/6315

Least Common Multiple of 15,421 with GCF Formula

Least Common Multiple of 15,421 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 15,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,421) = 1

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

GCF(15,421) x common factors =1 x 1 = 1

LCM(15,421) = ( 15 × 421 ) / 1

LCM(15,421) = 6315 / 1

LCM(15,421) = 6315


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FAQs on GCF of Fractions of 235/15, 577/421

1. What is the HCF of 235,577?

The HCF of 235,577 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 235/15, 577/421?

Answer: GCF of Numerators as per given numbers 235/15, 577/421 is

GCF of Numerators i.e. for 235,577 is 1

LCM of denominators i.e. for 15,421 is 6315.

Thus, GCF of Fractions is 1/6315.Finally, GCF of Fractions for 235/15, 577/421 is 1/6315.