How to Find GCF of 5749/171, 2944/4658?

GCF of 5749/171, 2944/4658

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 5749/171, 2944/4658 i.e 1/796518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5749/171, 2944/4658.

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 5749/171,2944/4658?

Given fractions are 5749/171,2944/4658

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 5749/171,2944/4658, numerators are 5749,2944

Denominators are 171,4658

The GCF of 5749,2944 is 1 .

LCM of 171,4658 is 796518.

The greatest common factor of 5749/171,2944/4658 = [GCF of 5749,2944]/[LCM of 171,4658]= 1/796518

Therefore, the GCF of 5749/171,2944/4658 is 1/796518.

Greatest Common Factor of 5749,2944

To find the highest common factor of 5749,2944, we have to find the factors of both numbers and list the highest common factor.

The factors of 5749 are 1, 5749

The factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944

The HCF of 5749,2944 is 1.

Lets's calculate GCF of 5749,2944

Greatest Common Factor (GCF) of 5749,2944 By Common Division

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

Greatest Common Factor of 5749,2944 By Matching Biggest Common Factor Method

Now, list down the factors of 5749

1,5749

Now, list down the factors of 2944

1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944

Greatest Common Factor

We found the factors 5749,2944 . The biggest common factor number is the GCF number.
So the greatest common factor 5749,2944 is 1.

Lets's calculate LCM of 171,4658

Lowest Common Multiple of 171,4658 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 796518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/796518

Therefore, the GCF of Fractions 5749/171,2944/4658 is 1/796518

Least Common Multiple of 171,4658 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 171,4658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,4658) = 1

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

GCF(171,4658) x common factors =1 x 1 = 1

LCM(171,4658) = ( 171 × 4658 ) / 1

LCM(171,4658) = 796518 / 1

LCM(171,4658) = 796518

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FAQs on GCF of Fractions of 5749/171, 2944/4658

1. What is the HCF of 5749,2944?

The HCF of 5749,2944 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 5749/171, 2944/4658?

Answer: GCF of Numerators as per given numbers 5749/171, 2944/4658 is

GCF of Numerators i.e. for 5749,2944 is 1

LCM of denominators i.e. for 171,4658 is 796518.

Thus, GCF of Fractions is 1/796518.Finally, GCF of Fractions for 5749/171, 2944/4658 is 1/796518.