How to Find GCF of 2765/849, 2858/886?

GCF of 2765/849, 2858/886

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 2765/849, 2858/886 i.e 1/752214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2765/849, 2858/886.

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 2765/849,2858/886?

Given fractions are 2765/849,2858/886

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 2765/849,2858/886, numerators are 2765,2858

Denominators are 849,886

The GCF of 2765,2858 is 1 .

LCM of 849,886 is 752214.

The greatest common factor of 2765/849,2858/886 = [GCF of 2765,2858]/[LCM of 849,886]= 1/752214

Therefore, the GCF of 2765/849,2858/886 is 1/752214.

Greatest Common Factor of 2765,2858

To find the highest common factor of 2765,2858, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 2858 are 1, 2, 1429, 2858

The HCF of 2765,2858 is 1.

Lets's calculate GCF of 2765,2858

Greatest Common Factor (GCF) of 2765,2858 By Common Division

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

Greatest Common Factor of 2765,2858 By Matching Biggest Common Factor Method

Now, list down the factors of 2765

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

Now, list down the factors of 2858

1,2,1429,2858

Greatest Common Factor

We found the factors 2765,2858 . The biggest common factor number is the GCF number.
So the greatest common factor 2765,2858 is 1.

Lets's calculate LCM of 849,886

Lowest Common Multiple of 849,886 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 752214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/752214

Therefore, the GCF of Fractions 2765/849,2858/886 is 1/752214

Least Common Multiple of 849,886 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 849,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,886) = 1

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

GCF(849,886) x common factors =1 x 1 = 1

LCM(849,886) = ( 849 × 886 ) / 1

LCM(849,886) = 752214 / 1

LCM(849,886) = 752214

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FAQs on GCF of Fractions of 2765/849, 2858/886

1. What is the HCF of 2765,2858?

The HCF of 2765,2858 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 2765/849, 2858/886?

Answer: GCF of Numerators as per given numbers 2765/849, 2858/886 is

GCF of Numerators i.e. for 2765,2858 is 1

LCM of denominators i.e. for 849,886 is 752214.

Thus, GCF of Fractions is 1/752214.Finally, GCF of Fractions for 2765/849, 2858/886 is 1/752214.