How to Find GCF of 2048/663, 1106/7037?

GCF of 2048/663, 1106/7037

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 2048/663, 1106/7037 i.e 2/4665531 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2048/663, 1106/7037.

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 2048/663,1106/7037?

Given fractions are 2048/663,1106/7037

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 2048/663,1106/7037, numerators are 2048,1106

Denominators are 663,7037

The GCF of 2048,1106 is 2 .

LCM of 663,7037 is 4665531.

The greatest common factor of 2048/663,1106/7037 = [GCF of 2048,1106]/[LCM of 663,7037]= 2/4665531

Therefore, the GCF of 2048/663,1106/7037 is 2/4665531.

Greatest Common Factor of 2048,1106

To find the highest common factor of 2048,1106, we have to find the factors of both numbers and list the highest common factor.

The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

The factors of 1106 are 1, 2, 7, 14, 79, 158, 553, 1106

The HCF of 2048,1106 is 2.

Lets's calculate GCF of 2048,1106

Greatest Common Factor (GCF) of 2048,1106 By Common Division

2	2048, 1106
	1024, 553

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

Greatest Common Factor of 2048,1106 By Matching Biggest Common Factor Method

Now, list down the factors of 2048

1,2,4,8,16,32,64,128,256,512,1024,2048

Now, list down the factors of 1106

1,2,7,14,79,158,553,1106

Greatest Common Factor

We found the factors 2048,1106 . The biggest common factor number is the GCF number.
So the greatest common factor 2048,1106 is 2.

Lets's calculate LCM of 663,7037

Lowest Common Multiple of 663,7037 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4665531

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4665531

Therefore, the GCF of Fractions 2048/663,1106/7037 is 2/4665531

Least Common Multiple of 663,7037 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 663,7037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,7037) = 1

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

GCF(663,7037) x common factors =1 x 1 = 1

LCM(663,7037) = ( 663 × 7037 ) / 1

LCM(663,7037) = 4665531 / 1

LCM(663,7037) = 4665531

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2048/663, 1106/7037

1. What is the HCF of 2048,1106?

The HCF of 2048,1106 is 2

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 2048/663, 1106/7037?

Answer: GCF of Numerators as per given numbers 2048/663, 1106/7037 is

GCF of Numerators i.e. for 2048,1106 is 2

LCM of denominators i.e. for 663,7037 is 4665531.

Thus, GCF of Fractions is 2/4665531.Finally, GCF of Fractions for 2048/663, 1106/7037 is 2/4665531.