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GCF of 697/955, 383/241

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 697/955, 383/241 i.e 1/230155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 697/955, 383/241.

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 697/955,383/241?

Given fractions are 697/955,383/241

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 697/955,383/241, numerators are 697,383

Denominators are 955,241

The GCF of 697,383 is 1 .

LCM of 955,241 is 230155.

The greatest common factor of 697/955,383/241 = [GCF of 697,383]/[LCM of 955,241]= 1/230155

Therefore, the GCF of 697/955,383/241 is 1/230155.

Greatest Common Factor of 697,383

To find the highest common factor of 697,383, we have to find the factors of both numbers and list the highest common factor.

The factors of 697 are 1, 17, 41, 697

The factors of 383 are 1, 383

The HCF of 697,383 is 1.

Lets's calculate GCF of 697,383

Greatest Common Factor (GCF) of 697,383 By Common Division

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

Greatest Common Factor of 697,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,383 By Matching Biggest Common Factor Method

Now, list down the factors of 697

:

1,17,41,697

Now, list down the factors of 383

:

1,383

Greatest Common Factor

We found the factors 697,383 . The biggest common factor number is the GCF number.
So the greatest common factor 697,383 is 1.

Lets's calculate LCM of 955,241

Lowest Common Multiple of 955,241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 230155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230155

Therefore, the GCF of Fractions 697/955,383/241 is 1/230155

Least Common Multiple of 955,241 with GCF Formula

Least Common Multiple of 955,241 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 955,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,241) = 1

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

GCF(955,241) x common factors =1 x 1 = 1

LCM(955,241) = ( 955 × 241 ) / 1

LCM(955,241) = 230155 / 1

LCM(955,241) = 230155


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FAQs on GCF of Fractions of 697/955, 383/241

1. What is the HCF of 697,383?

The HCF of 697,383 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 697/955, 383/241?

Answer: GCF of Numerators as per given numbers 697/955, 383/241 is

GCF of Numerators i.e. for 697,383 is 1

LCM of denominators i.e. for 955,241 is 230155.

Thus, GCF of Fractions is 1/230155.Finally, GCF of Fractions for 697/955, 383/241 is 1/230155.