How to Find GCF of 71/484, 57/620, 719/924?

GCF of 71/484, 57/620, 719/924

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 71/484, 57/620, 719/924 i.e 1/1575420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/484, 57/620, 719/924.

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 71/484,57/620,719/924?

Given fractions are 71/484,57/620,719/924

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 71/484,57/620,719/924, numerators are 71,57,719

Denominators are 484,620,924

The GCF of 71,57,719 is 1 .

LCM of 484,620,924 is 1575420.

The greatest common factor of 71/484,57/620,719/924 = [GCF of 71,57,719]/[LCM of 484,620,924]= 1/1575420

Therefore, the GCF of 71/484,57/620,719/924 is 1/1575420.

Greatest Common Factor of 71,57,719

To find the highest common factor of 71,57,719, we have to find the factors of both numbers and list the highest common factor.

The factors of 71 are 1, 71

The factors of 57 are 1, 3, 19, 57

The factors of 719 are 1, 719

The HCF of 71,57,719 is 1.

Lets's calculate GCF of 71,57,719

Greatest Common Factor (GCF) of 71,57,719 By Common Division

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

Greatest Common Factor of 71,57,719 By Matching Biggest Common Factor Method

Now, list down the factors of 71

1,71

Now, list down the factors of 57

1,3,19,57

Now, list down the factors of 719

1,719

Greatest Common Factor

We found the factors 71,57,719 . The biggest common factor number is the GCF number.
So the greatest common factor 71,57,719 is 1.

Lets's calculate LCM of 484,620,924

Lowest Common Multiple of 484,620,924 using Common Division

2	484, 620, 924
2	242, 310, 462
11	121, 155, 231
	11, 155, 21

∴ So the LCM of the given numbers is 2 x 2 x 11 x 11 x 155 x 21 = 1575420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1575420

Therefore, the GCF of Fractions 71/484,57/620,719/924 is 1/1575420

Least Common Multiple of 484,620,924 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 484,620,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,620,924) = 4

common factors(in case of two or more numbers have common factors) = 44

GCF(484,620,924) x common factors =4 x 44 = 176

LCM(484,620,924) = ( 484 × 620 × 924 ) / 176

LCM(484,620,924) = 277273920 / 176

LCM(484,620,924) = 1575420

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 71/484, 57/620, 719/924

1. What is the HCF of 71,57,719?

The HCF of 71,57,719 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 71/484, 57/620, 719/924?

Answer: GCF of Numerators as per given numbers 71/484, 57/620, 719/924 is

GCF of Numerators i.e. for 71,57,719 is 1

LCM of denominators i.e. for 484,620,924 is 1575420.

Thus, GCF of Fractions is 1/1575420.Finally, GCF of Fractions for 71/484, 57/620, 719/924 is 1/1575420.