How to Find GCF of 596/504, 883/136, 280/673?

GCF of 596/504, 883/136, 280/673

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 596/504, 883/136, 280/673 i.e 1/5766264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 596/504, 883/136, 280/673.

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 596/504,883/136,280/673?

Given fractions are 596/504,883/136,280/673

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 596/504,883/136,280/673, numerators are 596,883,280

Denominators are 504,136,673

The GCF of 596,883,280 is 1 .

LCM of 504,136,673 is 5766264.

The greatest common factor of 596/504,883/136,280/673 = [GCF of 596,883,280]/[LCM of 504,136,673]= 1/5766264

Therefore, the GCF of 596/504,883/136,280/673 is 1/5766264.

Greatest Common Factor of 596,883,280

To find the highest common factor of 596,883,280, we have to find the factors of both numbers and list the highest common factor.

The factors of 596 are 1, 2, 4, 149, 298, 596

The factors of 883 are 1, 883

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 596,883,280 is 1.

Lets's calculate GCF of 596,883,280

Greatest Common Factor (GCF) of 596,883,280 By Common Division

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

Greatest Common Factor of 596,883,280 By Matching Biggest Common Factor Method

Now, list down the factors of 596

1,2,4,149,298,596

Now, list down the factors of 883

1,883

Now, list down the factors of 280

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 596,883,280 . The biggest common factor number is the GCF number.
So the greatest common factor 596,883,280 is 1.

Lets's calculate LCM of 504,136,673

Lowest Common Multiple of 504,136,673 using Common Division

2	504, 136, 673
2	252, 68, 673
2	126, 34, 673
	63, 17, 673

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 17 x 673 = 5766264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5766264

Therefore, the GCF of Fractions 596/504,883/136,280/673 is 1/5766264

Least Common Multiple of 504,136,673 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 504,136,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,136,673) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(504,136,673) x common factors =1 x 8 = 8

LCM(504,136,673) = ( 504 × 136 × 673 ) / 8

LCM(504,136,673) = 46130112 / 8

LCM(504,136,673) = 5766264

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 596/504, 883/136, 280/673

1. What is the HCF of 596,883,280?

The HCF of 596,883,280 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 596/504, 883/136, 280/673?

Answer: GCF of Numerators as per given numbers 596/504, 883/136, 280/673 is

GCF of Numerators i.e. for 596,883,280 is 1

LCM of denominators i.e. for 504,136,673 is 5766264.

Thus, GCF of Fractions is 1/5766264.Finally, GCF of Fractions for 596/504, 883/136, 280/673 is 1/5766264.