How to Find GCF of 5854/141, 3574/3509?

GCF of 5854/141, 3574/3509

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 5854/141, 3574/3509 i.e 2/494769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5854/141, 3574/3509.

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 5854/141,3574/3509?

Given fractions are 5854/141,3574/3509

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 5854/141,3574/3509, numerators are 5854,3574

Denominators are 141,3509

The GCF of 5854,3574 is 2 .

LCM of 141,3509 is 494769.

The greatest common factor of 5854/141,3574/3509 = [GCF of 5854,3574]/[LCM of 141,3509]= 2/494769

Therefore, the GCF of 5854/141,3574/3509 is 2/494769.

Greatest Common Factor of 5854,3574

To find the highest common factor of 5854,3574, we have to find the factors of both numbers and list the highest common factor.

The factors of 5854 are 1, 2, 2927, 5854

The factors of 3574 are 1, 2, 1787, 3574

The HCF of 5854,3574 is 2.

Lets's calculate GCF of 5854,3574

Greatest Common Factor (GCF) of 5854,3574 By Common Division

2	5854, 3574
	2927, 1787

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

Greatest Common Factor of 5854,3574 By Matching Biggest Common Factor Method

Now, list down the factors of 5854

1,2,2927,5854

Now, list down the factors of 3574

1,2,1787,3574

Greatest Common Factor

We found the factors 5854,3574 . The biggest common factor number is the GCF number.
So the greatest common factor 5854,3574 is 2.

Lets's calculate LCM of 141,3509

Lowest Common Multiple of 141,3509 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 494769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/494769

Therefore, the GCF of Fractions 5854/141,3574/3509 is 2/494769

Least Common Multiple of 141,3509 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 141,3509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,3509) = 1

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

GCF(141,3509) x common factors =1 x 1 = 1

LCM(141,3509) = ( 141 × 3509 ) / 1

LCM(141,3509) = 494769 / 1

LCM(141,3509) = 494769

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FAQs on GCF of Fractions of 5854/141, 3574/3509

1. What is the HCF of 5854,3574?

The HCF of 5854,3574 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 5854/141, 3574/3509?

Answer: GCF of Numerators as per given numbers 5854/141, 3574/3509 is

GCF of Numerators i.e. for 5854,3574 is 2

LCM of denominators i.e. for 141,3509 is 494769.

Thus, GCF of Fractions is 2/494769.Finally, GCF of Fractions for 5854/141, 3574/3509 is 2/494769.