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GCF of 197/385, 5009/431

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 197/385, 5009/431 i.e 1/165935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/385, 5009/431.

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 197/385,5009/431?

Given fractions are 197/385,5009/431

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 197/385,5009/431, numerators are 197,5009

Denominators are 385,431

The GCF of 197,5009 is 1 .

LCM of 385,431 is 165935.

The greatest common factor of 197/385,5009/431 = [GCF of 197,5009]/[LCM of 385,431]= 1/165935

Therefore, the GCF of 197/385,5009/431 is 1/165935.

Greatest Common Factor of 197,5009

To find the highest common factor of 197,5009, 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 5009 are 1, 5009

The HCF of 197,5009 is 1.

Lets's calculate GCF of 197,5009

Greatest Common Factor (GCF) of 197,5009 By Common Division

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

Greatest Common Factor of 197,5009 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,5009 By Matching Biggest Common Factor Method

Now, list down the factors of 197

:

1,197

Now, list down the factors of 5009

:

1,5009

Greatest Common Factor

We found the factors 197,5009 . The biggest common factor number is the GCF number.
So the greatest common factor 197,5009 is 1.

Lets's calculate LCM of 385,431

Lowest Common Multiple of 385,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 165935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165935

Therefore, the GCF of Fractions 197/385,5009/431 is 1/165935

Least Common Multiple of 385,431 with GCF Formula

Least Common Multiple of 385,431 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 385,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,431) = 1

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

GCF(385,431) x common factors =1 x 1 = 1

LCM(385,431) = ( 385 × 431 ) / 1

LCM(385,431) = 165935 / 1

LCM(385,431) = 165935


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FAQs on GCF of Fractions of 197/385, 5009/431

1. What is the HCF of 197,5009?

The HCF of 197,5009 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 197/385, 5009/431?

Answer: GCF of Numerators as per given numbers 197/385, 5009/431 is

GCF of Numerators i.e. for 197,5009 is 1

LCM of denominators i.e. for 385,431 is 165935.

Thus, GCF of Fractions is 1/165935.Finally, GCF of Fractions for 197/385, 5009/431 is 1/165935.