How to Find GCF of 6109/899, 2765/2752?

GCF of 6109/899, 2765/2752

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 6109/899, 2765/2752 i.e 1/2474048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6109/899, 2765/2752.

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 6109/899,2765/2752?

Given fractions are 6109/899,2765/2752

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 6109/899,2765/2752, numerators are 6109,2765

Denominators are 899,2752

The GCF of 6109,2765 is 1 .

LCM of 899,2752 is 2474048.

The greatest common factor of 6109/899,2765/2752 = [GCF of 6109,2765]/[LCM of 899,2752]= 1/2474048

Therefore, the GCF of 6109/899,2765/2752 is 1/2474048.

Greatest Common Factor of 6109,2765

To find the highest common factor of 6109,2765, we have to find the factors of both numbers and list the highest common factor.

The factors of 6109 are 1, 41, 149, 6109

The factors of 2765 are 1, 5, 7, 35, 79, 395, 553, 2765

The HCF of 6109,2765 is 1.

Lets's calculate GCF of 6109,2765

Greatest Common Factor (GCF) of 6109,2765 By Common Division

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

Greatest Common Factor of 6109,2765 By Matching Biggest Common Factor Method

Now, list down the factors of 6109

1,41,149,6109

Now, list down the factors of 2765

1,5,7,35,79,395,553,2765

Greatest Common Factor

We found the factors 6109,2765 . The biggest common factor number is the GCF number.
So the greatest common factor 6109,2765 is 1.

Lets's calculate LCM of 899,2752

Lowest Common Multiple of 899,2752 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2474048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2474048

Therefore, the GCF of Fractions 6109/899,2765/2752 is 1/2474048

Least Common Multiple of 899,2752 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 899,2752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,2752) = 1

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

GCF(899,2752) x common factors =1 x 1 = 1

LCM(899,2752) = ( 899 × 2752 ) / 1

LCM(899,2752) = 2474048 / 1

LCM(899,2752) = 2474048

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FAQs on GCF of Fractions of 6109/899, 2765/2752

1. What is the HCF of 6109,2765?

The HCF of 6109,2765 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 6109/899, 2765/2752?

Answer: GCF of Numerators as per given numbers 6109/899, 2765/2752 is

GCF of Numerators i.e. for 6109,2765 is 1

LCM of denominators i.e. for 899,2752 is 2474048.

Thus, GCF of Fractions is 1/2474048.Finally, GCF of Fractions for 6109/899, 2765/2752 is 1/2474048.