How to Find GCF of 3319/504, 5451/1536?

GCF of 3319/504, 5451/1536

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 3319/504, 5451/1536 i.e 1/32256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3319/504, 5451/1536.

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 3319/504,5451/1536?

Given fractions are 3319/504,5451/1536

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 3319/504,5451/1536, numerators are 3319,5451

Denominators are 504,1536

The GCF of 3319,5451 is 1 .

LCM of 504,1536 is 32256.

The greatest common factor of 3319/504,5451/1536 = [GCF of 3319,5451]/[LCM of 504,1536]= 1/32256

Therefore, the GCF of 3319/504,5451/1536 is 1/32256.

Greatest Common Factor of 3319,5451

To find the highest common factor of 3319,5451, we have to find the factors of both numbers and list the highest common factor.

The factors of 3319 are 1, 3319

The factors of 5451 are 1, 3, 23, 69, 79, 237, 1817, 5451

The HCF of 3319,5451 is 1.

Lets's calculate GCF of 3319,5451

Greatest Common Factor (GCF) of 3319,5451 By Common Division

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

Greatest Common Factor of 3319,5451 By Matching Biggest Common Factor Method

Now, list down the factors of 3319

1,3319

Now, list down the factors of 5451

1,3,23,69,79,237,1817,5451

Greatest Common Factor

We found the factors 3319,5451 . The biggest common factor number is the GCF number.
So the greatest common factor 3319,5451 is 1.

Lets's calculate LCM of 504,1536

Lowest Common Multiple of 504,1536 using Common Division

2	504, 1536
2	252, 768
2	126, 384
3	63, 192
	21, 64

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 21 x 64 = 32256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32256

Therefore, the GCF of Fractions 3319/504,5451/1536 is 1/32256

Least Common Multiple of 504,1536 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 504,1536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,1536) = 24

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

GCF(504,1536) x common factors =24 x 1 = 24

LCM(504,1536) = ( 504 × 1536 ) / 24

LCM(504,1536) = 774144 / 24

LCM(504,1536) = 32256

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FAQs on GCF of Fractions of 3319/504, 5451/1536

1. What is the HCF of 3319,5451?

The HCF of 3319,5451 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 3319/504, 5451/1536?

Answer: GCF of Numerators as per given numbers 3319/504, 5451/1536 is

GCF of Numerators i.e. for 3319,5451 is 1

LCM of denominators i.e. for 504,1536 is 32256.

Thus, GCF of Fractions is 1/32256.Finally, GCF of Fractions for 3319/504, 5451/1536 is 1/32256.