How to Find GCF of 4002/360, 5754/7276?

GCF of 4002/360, 5754/7276

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 4002/360, 5754/7276 i.e 6/654840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4002/360, 5754/7276.

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 4002/360,5754/7276?

Given fractions are 4002/360,5754/7276

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 4002/360,5754/7276, numerators are 4002,5754

Denominators are 360,7276

The GCF of 4002,5754 is 6 .

LCM of 360,7276 is 654840.

The greatest common factor of 4002/360,5754/7276 = [GCF of 4002,5754]/[LCM of 360,7276]= 6/654840

Therefore, the GCF of 4002/360,5754/7276 is 6/654840.

Greatest Common Factor of 4002,5754

To find the highest common factor of 4002,5754, we have to find the factors of both numbers and list the highest common factor.

The factors of 4002 are 1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002

The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754

The HCF of 4002,5754 is 6.

Lets's calculate GCF of 4002,5754

Greatest Common Factor (GCF) of 4002,5754 By Common Division

2	4002, 5754
3	2001, 2877
	667, 959

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4002,5754 By Matching Biggest Common Factor Method

Now, list down the factors of 4002

1,2,3,6,23,29,46,58,69,87,138,174,667,1334,2001,4002

Now, list down the factors of 5754

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Greatest Common Factor

We found the factors 4002,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 4002,5754 is 6.

Lets's calculate LCM of 360,7276

Lowest Common Multiple of 360,7276 using Common Division

2	360, 7276
2	180, 3638
	90, 1819

∴ So the LCM of the given numbers is 2 x 2 x 90 x 1819 = 654840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/654840

Therefore, the GCF of Fractions 4002/360,5754/7276 is 6/654840

Least Common Multiple of 360,7276 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 360,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,7276) = 4

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

GCF(360,7276) x common factors =4 x 1 = 4

LCM(360,7276) = ( 360 × 7276 ) / 4

LCM(360,7276) = 2619360 / 4

LCM(360,7276) = 654840

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FAQs on GCF of Fractions of 4002/360, 5754/7276

1. What is the HCF of 4002,5754?

The HCF of 4002,5754 is 6

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 4002/360, 5754/7276?

Answer: GCF of Numerators as per given numbers 4002/360, 5754/7276 is

GCF of Numerators i.e. for 4002,5754 is 6

LCM of denominators i.e. for 360,7276 is 654840.

Thus, GCF of Fractions is 6/654840.Finally, GCF of Fractions for 4002/360, 5754/7276 is 6/654840.