How to Find GCF of 9689/165, 2238/307?

GCF of 9689/165, 2238/307

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 9689/165, 2238/307 i.e 1/50655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9689/165, 2238/307.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9689/165,2238/307?

Given fractions are 9689/165,2238/307

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 9689/165,2238/307, numerators are 9689,2238

Denominators are 165,307

The GCF of 9689,2238 is 1 .

LCM of 165,307 is 50655.

The greatest common factor of 9689/165,2238/307 = [GCF of 9689,2238]/[LCM of 165,307]= 1/50655

Therefore, the GCF of 9689/165,2238/307 is 1/50655.

Greatest Common Factor of 9689,2238

To find the highest common factor of 9689,2238, we have to find the factors of both numbers and list the highest common factor.

The factors of 9689 are 1, 9689

The factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238

The HCF of 9689,2238 is 1.

Lets's calculate GCF of 9689,2238

Greatest Common Factor (GCF) of 9689,2238 By Common Division

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

Greatest Common Factor of 9689,2238 By Matching Biggest Common Factor Method

Now, list down the factors of 9689

1,9689

Now, list down the factors of 2238

1,2,3,6,373,746,1119,2238

Greatest Common Factor

We found the factors 9689,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 9689,2238 is 1.

Lets's calculate LCM of 165,307

Lowest Common Multiple of 165,307 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50655

Therefore, the GCF of Fractions 9689/165,2238/307 is 1/50655

Least Common Multiple of 165,307 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 165,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,307) = 1

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

GCF(165,307) x common factors =1 x 1 = 1

LCM(165,307) = ( 165 × 307 ) / 1

LCM(165,307) = 50655 / 1

LCM(165,307) = 50655

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FAQs on GCF of Fractions of 9689/165, 2238/307

1. What is the HCF of 9689,2238?

The HCF of 9689,2238 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 9689/165, 2238/307?

Answer: GCF of Numerators as per given numbers 9689/165, 2238/307 is

GCF of Numerators i.e. for 9689,2238 is 1

LCM of denominators i.e. for 165,307 is 50655.

Thus, GCF of Fractions is 1/50655.Finally, GCF of Fractions for 9689/165, 2238/307 is 1/50655.