How to Find GCF of 2678/469, 1783/4290?

GCF of 2678/469, 1783/4290

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 2678/469, 1783/4290 i.e 1/2012010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2678/469, 1783/4290.

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 2678/469,1783/4290?

Given fractions are 2678/469,1783/4290

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 2678/469,1783/4290, numerators are 2678,1783

Denominators are 469,4290

The GCF of 2678,1783 is 1 .

LCM of 469,4290 is 2012010.

The greatest common factor of 2678/469,1783/4290 = [GCF of 2678,1783]/[LCM of 469,4290]= 1/2012010

Therefore, the GCF of 2678/469,1783/4290 is 1/2012010.

Greatest Common Factor of 2678,1783

To find the highest common factor of 2678,1783, we have to find the factors of both numbers and list the highest common factor.

The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678

The factors of 1783 are 1, 1783

The HCF of 2678,1783 is 1.

Lets's calculate GCF of 2678,1783

Greatest Common Factor (GCF) of 2678,1783 By Common Division

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

Greatest Common Factor of 2678,1783 By Matching Biggest Common Factor Method

Now, list down the factors of 2678

1,2,13,26,103,206,1339,2678

Now, list down the factors of 1783

1,1783

Greatest Common Factor

We found the factors 2678,1783 . The biggest common factor number is the GCF number.
So the greatest common factor 2678,1783 is 1.

Lets's calculate LCM of 469,4290

Lowest Common Multiple of 469,4290 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2012010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2012010

Therefore, the GCF of Fractions 2678/469,1783/4290 is 1/2012010

Least Common Multiple of 469,4290 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 469,4290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,4290) = 1

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

GCF(469,4290) x common factors =1 x 1 = 1

LCM(469,4290) = ( 469 × 4290 ) / 1

LCM(469,4290) = 2012010 / 1

LCM(469,4290) = 2012010

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FAQs on GCF of Fractions of 2678/469, 1783/4290

1. What is the HCF of 2678,1783?

The HCF of 2678,1783 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 2678/469, 1783/4290?

Answer: GCF of Numerators as per given numbers 2678/469, 1783/4290 is

GCF of Numerators i.e. for 2678,1783 is 1

LCM of denominators i.e. for 469,4290 is 2012010.

Thus, GCF of Fractions is 1/2012010.Finally, GCF of Fractions for 2678/469, 1783/4290 is 1/2012010.