How to Find GCF of 3376/160, 3238/1790?

GCF of 3376/160, 3238/1790

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 3376/160, 3238/1790 i.e 2/28640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3376/160, 3238/1790.

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 3376/160,3238/1790?

Given fractions are 3376/160,3238/1790

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 3376/160,3238/1790, numerators are 3376,3238

Denominators are 160,1790

The GCF of 3376,3238 is 2 .

LCM of 160,1790 is 28640.

The greatest common factor of 3376/160,3238/1790 = [GCF of 3376,3238]/[LCM of 160,1790]= 2/28640

Therefore, the GCF of 3376/160,3238/1790 is 2/28640.

Greatest Common Factor of 3376,3238

To find the highest common factor of 3376,3238, we have to find the factors of both numbers and list the highest common factor.

The factors of 3376 are 1, 2, 4, 8, 16, 211, 422, 844, 1688, 3376

The factors of 3238 are 1, 2, 1619, 3238

The HCF of 3376,3238 is 2.

Lets's calculate GCF of 3376,3238

Greatest Common Factor (GCF) of 3376,3238 By Common Division

2	3376, 3238
	1688, 1619

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

Greatest Common Factor of 3376,3238 By Matching Biggest Common Factor Method

Now, list down the factors of 3376

1,2,4,8,16,211,422,844,1688,3376

Now, list down the factors of 3238

1,2,1619,3238

Greatest Common Factor

We found the factors 3376,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 3376,3238 is 2.

Lets's calculate LCM of 160,1790

Lowest Common Multiple of 160,1790 using Common Division

2	160, 1790
5	80, 895
	16, 179

∴ So the LCM of the given numbers is 2 x 5 x 16 x 179 = 28640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28640

Therefore, the GCF of Fractions 3376/160,3238/1790 is 2/28640

Least Common Multiple of 160,1790 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 160,1790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,1790) = 10

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

GCF(160,1790) x common factors =10 x 1 = 10

LCM(160,1790) = ( 160 × 1790 ) / 10

LCM(160,1790) = 286400 / 10

LCM(160,1790) = 28640

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FAQs on GCF of Fractions of 3376/160, 3238/1790

1. What is the HCF of 3376,3238?

The HCF of 3376,3238 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 3376/160, 3238/1790?

Answer: GCF of Numerators as per given numbers 3376/160, 3238/1790 is

GCF of Numerators i.e. for 3376,3238 is 2

LCM of denominators i.e. for 160,1790 is 28640.

Thus, GCF of Fractions is 2/28640.Finally, GCF of Fractions for 3376/160, 3238/1790 is 2/28640.