How to Find GCF of 747/83, 184/2941?

GCF of 747/83, 184/2941

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 747/83, 184/2941 i.e 1/244103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/83, 184/2941.

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 747/83,184/2941?

Given fractions are 747/83,184/2941

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 747/83,184/2941, numerators are 747,184

Denominators are 83,2941

The GCF of 747,184 is 1 .

LCM of 83,2941 is 244103.

The greatest common factor of 747/83,184/2941 = [GCF of 747,184]/[LCM of 83,2941]= 1/244103

Therefore, the GCF of 747/83,184/2941 is 1/244103.

Greatest Common Factor of 747,184

To find the highest common factor of 747,184, we have to find the factors of both numbers and list the highest common factor.

The factors of 747 are 1, 3, 9, 83, 249, 747

The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184

The HCF of 747,184 is 1.

Lets's calculate GCF of 747,184

Greatest Common Factor (GCF) of 747,184 By Common Division

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

Greatest Common Factor of 747,184 By Matching Biggest Common Factor Method

Now, list down the factors of 747

1,3,9,83,249,747

Now, list down the factors of 184

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 747,184 . The biggest common factor number is the GCF number.
So the greatest common factor 747,184 is 1.

Lets's calculate LCM of 83,2941

Lowest Common Multiple of 83,2941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 244103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244103

Therefore, the GCF of Fractions 747/83,184/2941 is 1/244103

Least Common Multiple of 83,2941 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 83,2941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,2941) = 1

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

GCF(83,2941) x common factors =1 x 1 = 1

LCM(83,2941) = ( 83 × 2941 ) / 1

LCM(83,2941) = 244103 / 1

LCM(83,2941) = 244103

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FAQs on GCF of Fractions of 747/83, 184/2941

1. What is the HCF of 747,184?

The HCF of 747,184 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 747/83, 184/2941?

Answer: GCF of Numerators as per given numbers 747/83, 184/2941 is

GCF of Numerators i.e. for 747,184 is 1

LCM of denominators i.e. for 83,2941 is 244103.

Thus, GCF of Fractions is 1/244103.Finally, GCF of Fractions for 747/83, 184/2941 is 1/244103.