How to Find GCF of 3754/382, 5474/6121?

GCF of 3754/382, 5474/6121

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 3754/382, 5474/6121 i.e 2/2338222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3754/382, 5474/6121.

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 3754/382,5474/6121?

Given fractions are 3754/382,5474/6121

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 3754/382,5474/6121, numerators are 3754,5474

Denominators are 382,6121

The GCF of 3754,5474 is 2 .

LCM of 382,6121 is 2338222.

The greatest common factor of 3754/382,5474/6121 = [GCF of 3754,5474]/[LCM of 382,6121]= 2/2338222

Therefore, the GCF of 3754/382,5474/6121 is 2/2338222.

Greatest Common Factor of 3754,5474

To find the highest common factor of 3754,5474, we have to find the factors of both numbers and list the highest common factor.

The factors of 3754 are 1, 2, 1877, 3754

The factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474

The HCF of 3754,5474 is 2.

Lets's calculate GCF of 3754,5474

Greatest Common Factor (GCF) of 3754,5474 By Common Division

2	3754, 5474
	1877, 2737

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

Greatest Common Factor of 3754,5474 By Matching Biggest Common Factor Method

Now, list down the factors of 3754

1,2,1877,3754

Now, list down the factors of 5474

1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474

Greatest Common Factor

We found the factors 3754,5474 . The biggest common factor number is the GCF number.
So the greatest common factor 3754,5474 is 2.

Lets's calculate LCM of 382,6121

Lowest Common Multiple of 382,6121 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2338222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2338222

Therefore, the GCF of Fractions 3754/382,5474/6121 is 2/2338222

Least Common Multiple of 382,6121 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 382,6121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,6121) = 1

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

GCF(382,6121) x common factors =1 x 1 = 1

LCM(382,6121) = ( 382 × 6121 ) / 1

LCM(382,6121) = 2338222 / 1

LCM(382,6121) = 2338222

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FAQs on GCF of Fractions of 3754/382, 5474/6121

1. What is the HCF of 3754,5474?

The HCF of 3754,5474 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 3754/382, 5474/6121?

Answer: GCF of Numerators as per given numbers 3754/382, 5474/6121 is

GCF of Numerators i.e. for 3754,5474 is 2

LCM of denominators i.e. for 382,6121 is 2338222.

Thus, GCF of Fractions is 2/2338222.Finally, GCF of Fractions for 3754/382, 5474/6121 is 2/2338222.