How to Find GCF of 2836/260, 1762/6811?

GCF of 2836/260, 1762/6811

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 2836/260, 1762/6811 i.e 2/1770860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2836/260, 1762/6811.

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 2836/260,1762/6811?

Given fractions are 2836/260,1762/6811

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 2836/260,1762/6811, numerators are 2836,1762

Denominators are 260,6811

The GCF of 2836,1762 is 2 .

LCM of 260,6811 is 1770860.

The greatest common factor of 2836/260,1762/6811 = [GCF of 2836,1762]/[LCM of 260,6811]= 2/1770860

Therefore, the GCF of 2836/260,1762/6811 is 2/1770860.

Greatest Common Factor of 2836,1762

To find the highest common factor of 2836,1762, we have to find the factors of both numbers and list the highest common factor.

The factors of 2836 are 1, 2, 4, 709, 1418, 2836

The factors of 1762 are 1, 2, 881, 1762

The HCF of 2836,1762 is 2.

Lets's calculate GCF of 2836,1762

Greatest Common Factor (GCF) of 2836,1762 By Common Division

2	2836, 1762
	1418, 881

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2836,1762 By Matching Biggest Common Factor Method

Now, list down the factors of 2836

1,2,4,709,1418,2836

Now, list down the factors of 1762

1,2,881,1762

Greatest Common Factor

We found the factors 2836,1762 . The biggest common factor number is the GCF number.
So the greatest common factor 2836,1762 is 2.

Lets's calculate LCM of 260,6811

Lowest Common Multiple of 260,6811 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1770860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1770860

Therefore, the GCF of Fractions 2836/260,1762/6811 is 2/1770860

Least Common Multiple of 260,6811 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 260,6811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,6811) = 1

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

GCF(260,6811) x common factors =1 x 1 = 1

LCM(260,6811) = ( 260 × 6811 ) / 1

LCM(260,6811) = 1770860 / 1

LCM(260,6811) = 1770860

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FAQs on GCF of Fractions of 2836/260, 1762/6811

1. What is the HCF of 2836,1762?

The HCF of 2836,1762 is 2

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 2836/260, 1762/6811?

Answer: GCF of Numerators as per given numbers 2836/260, 1762/6811 is

GCF of Numerators i.e. for 2836,1762 is 2

LCM of denominators i.e. for 260,6811 is 1770860.

Thus, GCF of Fractions is 2/1770860.Finally, GCF of Fractions for 2836/260, 1762/6811 is 2/1770860.