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GCF of 197/66, 577/576

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 197/66, 577/576 i.e 1/6336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/66, 577/576.

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 197/66,577/576?

Given fractions are 197/66,577/576

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 197/66,577/576, numerators are 197,577

Denominators are 66,576

The GCF of 197,577 is 1 .

LCM of 66,576 is 6336.

The greatest common factor of 197/66,577/576 = [GCF of 197,577]/[LCM of 66,576]= 1/6336

Therefore, the GCF of 197/66,577/576 is 1/6336.

Greatest Common Factor of 197,577

To find the highest common factor of 197,577, we have to find the factors of both numbers and list the highest common factor.

The factors of 197 are 1, 197

The factors of 577 are 1, 577

The HCF of 197,577 is 1.

Lets's calculate GCF of 197,577

Greatest Common Factor (GCF) of 197,577 By Common Division

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

Greatest Common Factor of 197,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,577 By Matching Biggest Common Factor Method

Now, list down the factors of 197

:

1,197

Now, list down the factors of 577

:

1,577

Greatest Common Factor

We found the factors 197,577 . The biggest common factor number is the GCF number.
So the greatest common factor 197,577 is 1.

Lets's calculate LCM of 66,576

Lowest Common Multiple of 66,576 using Common Division

2 66, 576
3 33, 288
11, 96

∴ So the LCM of the given numbers is 2 x 3 x 11 x 96 = 6336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6336

Therefore, the GCF of Fractions 197/66,577/576 is 1/6336

Least Common Multiple of 66,576 with GCF Formula

Least Common Multiple of 66,576 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 66,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,576) = 6

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

GCF(66,576) x common factors =6 x 1 = 6

LCM(66,576) = ( 66 × 576 ) / 6

LCM(66,576) = 38016 / 6

LCM(66,576) = 6336


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FAQs on GCF of Fractions of 197/66, 577/576

1. What is the HCF of 197,577?

The HCF of 197,577 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 197/66, 577/576?

Answer: GCF of Numerators as per given numbers 197/66, 577/576 is

GCF of Numerators i.e. for 197,577 is 1

LCM of denominators i.e. for 66,576 is 6336.

Thus, GCF of Fractions is 1/6336.Finally, GCF of Fractions for 197/66, 577/576 is 1/6336.