How to Find GCF of 2240/533, 5065/661?

GCF of 2240/533, 5065/661

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 2240/533, 5065/661 i.e 5/352313 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2240/533, 5065/661.

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 2240/533,5065/661?

Given fractions are 2240/533,5065/661

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 2240/533,5065/661, numerators are 2240,5065

Denominators are 533,661

The GCF of 2240,5065 is 5 .

LCM of 533,661 is 352313.

The greatest common factor of 2240/533,5065/661 = [GCF of 2240,5065]/[LCM of 533,661]= 5/352313

Therefore, the GCF of 2240/533,5065/661 is 5/352313.

Greatest Common Factor of 2240,5065

To find the highest common factor of 2240,5065, we have to find the factors of both numbers and list the highest common factor.

The factors of 2240 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 140, 160, 224, 280, 320, 448, 560, 1120, 2240

The factors of 5065 are 1, 5, 1013, 5065

The HCF of 2240,5065 is 5.

Lets's calculate GCF of 2240,5065

Greatest Common Factor (GCF) of 2240,5065 By Common Division

5	2240, 5065
	448, 1013

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2240,5065 By Matching Biggest Common Factor Method

Now, list down the factors of 2240

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,140,160,224,280,320,448,560,1120,2240

Now, list down the factors of 5065

1,5,1013,5065

Greatest Common Factor

We found the factors 2240,5065 . The biggest common factor number is the GCF number.
So the greatest common factor 2240,5065 is 5.

Lets's calculate LCM of 533,661

Lowest Common Multiple of 533,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 352313

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/352313

Therefore, the GCF of Fractions 2240/533,5065/661 is 5/352313

Least Common Multiple of 533,661 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 533,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(533,661) = 1

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

GCF(533,661) x common factors =1 x 1 = 1

LCM(533,661) = ( 533 × 661 ) / 1

LCM(533,661) = 352313 / 1

LCM(533,661) = 352313

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2240/533, 5065/661

1. What is the HCF of 2240,5065?

The HCF of 2240,5065 is 5

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 2240/533, 5065/661?

Answer: GCF of Numerators as per given numbers 2240/533, 5065/661 is

GCF of Numerators i.e. for 2240,5065 is 5

LCM of denominators i.e. for 533,661 is 352313.

Thus, GCF of Fractions is 5/352313.Finally, GCF of Fractions for 2240/533, 5065/661 is 5/352313.