How to Find GCF of 4119/584, 5818/5765?

GCF of 4119/584, 5818/5765

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 4119/584, 5818/5765 i.e 1/3366760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4119/584, 5818/5765.

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 4119/584,5818/5765?

Given fractions are 4119/584,5818/5765

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 4119/584,5818/5765, numerators are 4119,5818

Denominators are 584,5765

The GCF of 4119,5818 is 1 .

LCM of 584,5765 is 3366760.

The greatest common factor of 4119/584,5818/5765 = [GCF of 4119,5818]/[LCM of 584,5765]= 1/3366760

Therefore, the GCF of 4119/584,5818/5765 is 1/3366760.

Greatest Common Factor of 4119,5818

To find the highest common factor of 4119,5818, we have to find the factors of both numbers and list the highest common factor.

The factors of 4119 are 1, 3, 1373, 4119

The factors of 5818 are 1, 2, 2909, 5818

The HCF of 4119,5818 is 1.

Lets's calculate GCF of 4119,5818

Greatest Common Factor (GCF) of 4119,5818 By Common Division

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

Greatest Common Factor of 4119,5818 By Matching Biggest Common Factor Method

Now, list down the factors of 4119

1,3,1373,4119

Now, list down the factors of 5818

1,2,2909,5818

Greatest Common Factor

We found the factors 4119,5818 . The biggest common factor number is the GCF number.
So the greatest common factor 4119,5818 is 1.

Lets's calculate LCM of 584,5765

Lowest Common Multiple of 584,5765 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3366760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3366760

Therefore, the GCF of Fractions 4119/584,5818/5765 is 1/3366760

Least Common Multiple of 584,5765 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 584,5765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,5765) = 1

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

GCF(584,5765) x common factors =1 x 1 = 1

LCM(584,5765) = ( 584 × 5765 ) / 1

LCM(584,5765) = 3366760 / 1

LCM(584,5765) = 3366760

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FAQs on GCF of Fractions of 4119/584, 5818/5765

1. What is the HCF of 4119,5818?

The HCF of 4119,5818 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 4119/584, 5818/5765?

Answer: GCF of Numerators as per given numbers 4119/584, 5818/5765 is

GCF of Numerators i.e. for 4119,5818 is 1

LCM of denominators i.e. for 584,5765 is 3366760.

Thus, GCF of Fractions is 1/3366760.Finally, GCF of Fractions for 4119/584, 5818/5765 is 1/3366760.