How to Find GCF of 928/140, 587/533, 779/924?

GCF of 928/140, 587/533, 779/924

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 928/140, 587/533, 779/924 i.e 1/2462460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 928/140, 587/533, 779/924.

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 928/140,587/533,779/924?

Given fractions are 928/140,587/533,779/924

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 928/140,587/533,779/924, numerators are 928,587,779

Denominators are 140,533,924

The GCF of 928,587,779 is 1 .

LCM of 140,533,924 is 2462460.

The greatest common factor of 928/140,587/533,779/924 = [GCF of 928,587,779]/[LCM of 140,533,924]= 1/2462460

Therefore, the GCF of 928/140,587/533,779/924 is 1/2462460.

Greatest Common Factor of 928,587,779

To find the highest common factor of 928,587,779, we have to find the factors of both numbers and list the highest common factor.

The factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

The factors of 587 are 1, 587

The factors of 779 are 1, 19, 41, 779

The HCF of 928,587,779 is 1.

Lets's calculate GCF of 928,587,779

Greatest Common Factor (GCF) of 928,587,779 By Common Division

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

Greatest Common Factor of 928,587,779 By Matching Biggest Common Factor Method

Now, list down the factors of 928

1,2,4,8,16,29,32,58,116,232,464,928

Now, list down the factors of 587

1,587

Now, list down the factors of 779

1,19,41,779

Greatest Common Factor

We found the factors 928,587,779 . The biggest common factor number is the GCF number.
So the greatest common factor 928,587,779 is 1.

Lets's calculate LCM of 140,533,924

Lowest Common Multiple of 140,533,924 using Common Division

2	140, 533, 924
2	70, 533, 462
7	35, 533, 231
	5, 533, 33

∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 533 x 33 = 2462460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2462460

Therefore, the GCF of Fractions 928/140,587/533,779/924 is 1/2462460

Least Common Multiple of 140,533,924 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 140,533,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,533,924) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(140,533,924) x common factors =1 x 28 = 28

LCM(140,533,924) = ( 140 × 533 × 924 ) / 28

LCM(140,533,924) = 68948880 / 28

LCM(140,533,924) = 2462460

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 928/140, 587/533, 779/924

1. What is the HCF of 928,587,779?

The HCF of 928,587,779 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 928/140, 587/533, 779/924?

Answer: GCF of Numerators as per given numbers 928/140, 587/533, 779/924 is

GCF of Numerators i.e. for 928,587,779 is 1

LCM of denominators i.e. for 140,533,924 is 2462460.

Thus, GCF of Fractions is 1/2462460.Finally, GCF of Fractions for 928/140, 587/533, 779/924 is 1/2462460.