How to Find GCF of 9757/345, 8189/2809?

GCF of 9757/345, 8189/2809

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 9757/345, 8189/2809 i.e 1/969105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9757/345, 8189/2809.

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 9757/345,8189/2809?

Given fractions are 9757/345,8189/2809

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 9757/345,8189/2809, numerators are 9757,8189

Denominators are 345,2809

The GCF of 9757,8189 is 1 .

LCM of 345,2809 is 969105.

The greatest common factor of 9757/345,8189/2809 = [GCF of 9757,8189]/[LCM of 345,2809]= 1/969105

Therefore, the GCF of 9757/345,8189/2809 is 1/969105.

Greatest Common Factor of 9757,8189

To find the highest common factor of 9757,8189, we have to find the factors of both numbers and list the highest common factor.

The factors of 9757 are 1, 11, 887, 9757

The factors of 8189 are 1, 19, 431, 8189

The HCF of 9757,8189 is 1.

Lets's calculate GCF of 9757,8189

Greatest Common Factor (GCF) of 9757,8189 By Common Division

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

Greatest Common Factor of 9757,8189 By Matching Biggest Common Factor Method

Now, list down the factors of 9757

1,11,887,9757

Now, list down the factors of 8189

1,19,431,8189

Greatest Common Factor

We found the factors 9757,8189 . The biggest common factor number is the GCF number.
So the greatest common factor 9757,8189 is 1.

Lets's calculate LCM of 345,2809

Lowest Common Multiple of 345,2809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 969105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/969105

Therefore, the GCF of Fractions 9757/345,8189/2809 is 1/969105

Least Common Multiple of 345,2809 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 345,2809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,2809) = 1

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

GCF(345,2809) x common factors =1 x 1 = 1

LCM(345,2809) = ( 345 × 2809 ) / 1

LCM(345,2809) = 969105 / 1

LCM(345,2809) = 969105

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FAQs on GCF of Fractions of 9757/345, 8189/2809

1. What is the HCF of 9757,8189?

The HCF of 9757,8189 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 9757/345, 8189/2809?

Answer: GCF of Numerators as per given numbers 9757/345, 8189/2809 is

GCF of Numerators i.e. for 9757,8189 is 1

LCM of denominators i.e. for 345,2809 is 969105.

Thus, GCF of Fractions is 1/969105.Finally, GCF of Fractions for 9757/345, 8189/2809 is 1/969105.