How to Find GCF of 1555/328, 8004/8628?

GCF of 1555/328, 8004/8628

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 1555/328, 8004/8628 i.e 1/707496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1555/328, 8004/8628.

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 1555/328,8004/8628?

Given fractions are 1555/328,8004/8628

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 1555/328,8004/8628, numerators are 1555,8004

Denominators are 328,8628

The GCF of 1555,8004 is 1 .

LCM of 328,8628 is 707496.

The greatest common factor of 1555/328,8004/8628 = [GCF of 1555,8004]/[LCM of 328,8628]= 1/707496

Therefore, the GCF of 1555/328,8004/8628 is 1/707496.

Greatest Common Factor of 1555,8004

To find the highest common factor of 1555,8004, we have to find the factors of both numbers and list the highest common factor.

The factors of 1555 are 1, 5, 311, 1555

The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004

The HCF of 1555,8004 is 1.

Lets's calculate GCF of 1555,8004

Greatest Common Factor (GCF) of 1555,8004 By Common Division

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

Greatest Common Factor of 1555,8004 By Matching Biggest Common Factor Method

Now, list down the factors of 1555

1,5,311,1555

Now, list down the factors of 8004

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Greatest Common Factor

We found the factors 1555,8004 . The biggest common factor number is the GCF number.
So the greatest common factor 1555,8004 is 1.

Lets's calculate LCM of 328,8628

Lowest Common Multiple of 328,8628 using Common Division

2	328, 8628
2	164, 4314
	82, 2157

∴ So the LCM of the given numbers is 2 x 2 x 82 x 2157 = 707496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/707496

Therefore, the GCF of Fractions 1555/328,8004/8628 is 1/707496

Least Common Multiple of 328,8628 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 328,8628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,8628) = 4

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

GCF(328,8628) x common factors =4 x 1 = 4

LCM(328,8628) = ( 328 × 8628 ) / 4

LCM(328,8628) = 2829984 / 4

LCM(328,8628) = 707496

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1555/328, 8004/8628

1. What is the HCF of 1555,8004?

The HCF of 1555,8004 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 1555/328, 8004/8628?

Answer: GCF of Numerators as per given numbers 1555/328, 8004/8628 is

GCF of Numerators i.e. for 1555,8004 is 1

LCM of denominators i.e. for 328,8628 is 707496.

Thus, GCF of Fractions is 1/707496.Finally, GCF of Fractions for 1555/328, 8004/8628 is 1/707496.