How to Find GCF of 5439/761, 9994/584?

GCF of 5439/761, 9994/584

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 5439/761, 9994/584 i.e 1/444424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5439/761, 9994/584.

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 5439/761,9994/584?

Given fractions are 5439/761,9994/584

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 5439/761,9994/584, numerators are 5439,9994

Denominators are 761,584

The GCF of 5439,9994 is 1 .

LCM of 761,584 is 444424.

The greatest common factor of 5439/761,9994/584 = [GCF of 5439,9994]/[LCM of 761,584]= 1/444424

Therefore, the GCF of 5439/761,9994/584 is 1/444424.

Greatest Common Factor of 5439,9994

To find the highest common factor of 5439,9994, we have to find the factors of both numbers and list the highest common factor.

The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439

The factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994

The HCF of 5439,9994 is 1.

Lets's calculate GCF of 5439,9994

Greatest Common Factor (GCF) of 5439,9994 By Common Division

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

Greatest Common Factor of 5439,9994 By Matching Biggest Common Factor Method

Now, list down the factors of 5439

1,3,7,21,37,49,111,147,259,777,1813,5439

Now, list down the factors of 9994

1,2,19,38,263,526,4997,9994

Greatest Common Factor

We found the factors 5439,9994 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,9994 is 1.

Lets's calculate LCM of 761,584

Lowest Common Multiple of 761,584 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 444424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/444424

Therefore, the GCF of Fractions 5439/761,9994/584 is 1/444424

Least Common Multiple of 761,584 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 761,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,584) = 1

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

GCF(761,584) x common factors =1 x 1 = 1

LCM(761,584) = ( 761 × 584 ) / 1

LCM(761,584) = 444424 / 1

LCM(761,584) = 444424

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FAQs on GCF of Fractions of 5439/761, 9994/584

1. What is the HCF of 5439,9994?

The HCF of 5439,9994 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 5439/761, 9994/584?

Answer: GCF of Numerators as per given numbers 5439/761, 9994/584 is

GCF of Numerators i.e. for 5439,9994 is 1

LCM of denominators i.e. for 761,584 is 444424.

Thus, GCF of Fractions is 1/444424.Finally, GCF of Fractions for 5439/761, 9994/584 is 1/444424.