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GCF of 9461/699, 9998/209

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 9461/699, 9998/209 i.e 1/146091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9461/699, 9998/209.

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 9461/699,9998/209?

Given fractions are 9461/699,9998/209

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 9461/699,9998/209, numerators are 9461,9998

Denominators are 699,209

The GCF of 9461,9998 is 1 .

LCM of 699,209 is 146091.

The greatest common factor of 9461/699,9998/209 = [GCF of 9461,9998]/[LCM of 699,209]= 1/146091

Therefore, the GCF of 9461/699,9998/209 is 1/146091.

Greatest Common Factor of 9461,9998

To find the highest common factor of 9461,9998, we have to find the factors of both numbers and list the highest common factor.

The factors of 9461 are 1, 9461

The factors of 9998 are 1, 2, 4999, 9998

The HCF of 9461,9998 is 1.

Lets's calculate GCF of 9461,9998

Greatest Common Factor (GCF) of 9461,9998 By Common Division

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

Greatest Common Factor of 9461,9998 By Matching Biggest Common Factor Method

Greatest Common Factor of 9461,9998 By Matching Biggest Common Factor Method

Now, list down the factors of 9461

:

1,9461

Now, list down the factors of 9998

:

1,2,4999,9998

Greatest Common Factor

We found the factors 9461,9998 . The biggest common factor number is the GCF number.
So the greatest common factor 9461,9998 is 1.


Lets's calculate LCM of 699,209

Lowest Common Multiple of 699,209 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 146091

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146091

Therefore, the GCF of Fractions 9461/699,9998/209 is 1/146091

Least Common Multiple of 699,209 with GCF Formula

Least Common Multiple of 699,209 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 699,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,209) = 1

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

GCF(699,209) x common factors =1 x 1 = 1

LCM(699,209) = ( 699 × 209 ) / 1

LCM(699,209) = 146091 / 1

LCM(699,209) = 146091


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9461/699, 9998/209

1. What is the HCF of 9461,9998?

The HCF of 9461,9998 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 9461/699, 9998/209?

Answer: GCF of Numerators as per given numbers 9461/699, 9998/209 is

GCF of Numerators i.e. for 9461,9998 is 1

LCM of denominators i.e. for 699,209 is 146091.

Thus, GCF of Fractions is 1/146091.Finally, GCF of Fractions for 9461/699, 9998/209 is 1/146091.