How to Find GCF of 2038/168, 2663/772?

GCF of 2038/168, 2663/772

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 2038/168, 2663/772 i.e 1/32424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2038/168, 2663/772.

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 2038/168,2663/772?

Given fractions are 2038/168,2663/772

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 2038/168,2663/772, numerators are 2038,2663

Denominators are 168,772

The GCF of 2038,2663 is 1 .

LCM of 168,772 is 32424.

The greatest common factor of 2038/168,2663/772 = [GCF of 2038,2663]/[LCM of 168,772]= 1/32424

Therefore, the GCF of 2038/168,2663/772 is 1/32424.

Greatest Common Factor of 2038,2663

To find the highest common factor of 2038,2663, we have to find the factors of both numbers and list the highest common factor.

The factors of 2038 are 1, 2, 1019, 2038

The factors of 2663 are 1, 2663

The HCF of 2038,2663 is 1.

Lets's calculate GCF of 2038,2663

Greatest Common Factor (GCF) of 2038,2663 By Common Division

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

Greatest Common Factor of 2038,2663 By Matching Biggest Common Factor Method

Now, list down the factors of 2038

1,2,1019,2038

Now, list down the factors of 2663

1,2663

Greatest Common Factor

We found the factors 2038,2663 . The biggest common factor number is the GCF number.
So the greatest common factor 2038,2663 is 1.

Lets's calculate LCM of 168,772

Lowest Common Multiple of 168,772 using Common Division

2	168, 772
2	84, 386
	42, 193

∴ So the LCM of the given numbers is 2 x 2 x 42 x 193 = 32424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32424

Therefore, the GCF of Fractions 2038/168,2663/772 is 1/32424

Least Common Multiple of 168,772 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 168,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,772) = 4

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

GCF(168,772) x common factors =4 x 1 = 4

LCM(168,772) = ( 168 × 772 ) / 4

LCM(168,772) = 129696 / 4

LCM(168,772) = 32424

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FAQs on GCF of Fractions of 2038/168, 2663/772

1. What is the HCF of 2038,2663?

The HCF of 2038,2663 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 2038/168, 2663/772?

Answer: GCF of Numerators as per given numbers 2038/168, 2663/772 is

GCF of Numerators i.e. for 2038,2663 is 1

LCM of denominators i.e. for 168,772 is 32424.

Thus, GCF of Fractions is 1/32424.Finally, GCF of Fractions for 2038/168, 2663/772 is 1/32424.