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GCF of 197/794, 7009/9806

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 197/794, 7009/9806 i.e 1/3892982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 197/794, 7009/9806.

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 197/794,7009/9806?

Given fractions are 197/794,7009/9806

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 197/794,7009/9806, numerators are 197,7009

Denominators are 794,9806

The GCF of 197,7009 is 1 .

LCM of 794,9806 is 3892982.

The greatest common factor of 197/794,7009/9806 = [GCF of 197,7009]/[LCM of 794,9806]= 1/3892982

Therefore, the GCF of 197/794,7009/9806 is 1/3892982.

Greatest Common Factor of 197,7009

To find the highest common factor of 197,7009, 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 7009 are 1, 43, 163, 7009

The HCF of 197,7009 is 1.

Lets's calculate GCF of 197,7009

Greatest Common Factor (GCF) of 197,7009 By Common Division

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

Greatest Common Factor of 197,7009 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,7009 By Matching Biggest Common Factor Method

Now, list down the factors of 197

:

1,197

Now, list down the factors of 7009

:

1,43,163,7009

Greatest Common Factor

We found the factors 197,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 197,7009 is 1.

Lets's calculate LCM of 794,9806

Lowest Common Multiple of 794,9806 using Common Division

2 794, 9806
397, 4903

∴ So the LCM of the given numbers is 2 x 397 x 4903 = 3892982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3892982

Therefore, the GCF of Fractions 197/794,7009/9806 is 1/3892982

Least Common Multiple of 794,9806 with GCF Formula

Least Common Multiple of 794,9806 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 794,9806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,9806) = 2

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

GCF(794,9806) x common factors =2 x 1 = 2

LCM(794,9806) = ( 794 × 9806 ) / 2

LCM(794,9806) = 7785964 / 2

LCM(794,9806) = 3892982


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FAQs on GCF of Fractions of 197/794, 7009/9806

1. What is the HCF of 197,7009?

The HCF of 197,7009 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 197/794, 7009/9806?

Answer: GCF of Numerators as per given numbers 197/794, 7009/9806 is

GCF of Numerators i.e. for 197,7009 is 1

LCM of denominators i.e. for 794,9806 is 3892982.

Thus, GCF of Fractions is 1/3892982.Finally, GCF of Fractions for 197/794, 7009/9806 is 1/3892982.