How to Find GCF of 504/83, 496/1383?

GCF of 504/83, 496/1383

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 504/83, 496/1383 i.e 8/114789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/83, 496/1383.

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 504/83,496/1383?

Given fractions are 504/83,496/1383

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 504/83,496/1383, numerators are 504,496

Denominators are 83,1383

The GCF of 504,496 is 8 .

LCM of 83,1383 is 114789.

The greatest common factor of 504/83,496/1383 = [GCF of 504,496]/[LCM of 83,1383]= 8/114789

Therefore, the GCF of 504/83,496/1383 is 8/114789.

Greatest Common Factor of 504,496

To find the highest common factor of 504,496, we have to find the factors of both numbers and list the highest common factor.

The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

The HCF of 504,496 is 8.

Lets's calculate GCF of 504,496

Greatest Common Factor (GCF) of 504,496 By Common Division

2	504, 496
2	252, 248
2	126, 124
	63, 62

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 504,496 By Matching Biggest Common Factor Method

Now, list down the factors of 504

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Now, list down the factors of 496

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 504,496 . The biggest common factor number is the GCF number.
So the greatest common factor 504,496 is 8.

Lets's calculate LCM of 83,1383

Lowest Common Multiple of 83,1383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 114789

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/114789

Therefore, the GCF of Fractions 504/83,496/1383 is 8/114789

Least Common Multiple of 83,1383 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 83,1383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,1383) = 1

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

GCF(83,1383) x common factors =1 x 1 = 1

LCM(83,1383) = ( 83 × 1383 ) / 1

LCM(83,1383) = 114789 / 1

LCM(83,1383) = 114789

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FAQs on GCF of Fractions of 504/83, 496/1383

1. What is the HCF of 504,496?

The HCF of 504,496 is 8

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 504/83, 496/1383?

Answer: GCF of Numerators as per given numbers 504/83, 496/1383 is

GCF of Numerators i.e. for 504,496 is 8

LCM of denominators i.e. for 83,1383 is 114789.

Thus, GCF of Fractions is 8/114789.Finally, GCF of Fractions for 504/83, 496/1383 is 8/114789.