How to Find GCF of 2204/360, 1066/149?

GCF of 2204/360, 1066/149

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 2204/360, 1066/149 i.e 2/53640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2204/360, 1066/149.

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 2204/360,1066/149?

Given fractions are 2204/360,1066/149

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 2204/360,1066/149, numerators are 2204,1066

Denominators are 360,149

The GCF of 2204,1066 is 2 .

LCM of 360,149 is 53640.

The greatest common factor of 2204/360,1066/149 = [GCF of 2204,1066]/[LCM of 360,149]= 2/53640

Therefore, the GCF of 2204/360,1066/149 is 2/53640.

Greatest Common Factor of 2204,1066

To find the highest common factor of 2204,1066, we have to find the factors of both numbers and list the highest common factor.

The factors of 2204 are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204

The factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066

The HCF of 2204,1066 is 2.

Lets's calculate GCF of 2204,1066

Greatest Common Factor (GCF) of 2204,1066 By Common Division

2	2204, 1066
	1102, 533

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

Greatest Common Factor of 2204,1066 By Matching Biggest Common Factor Method

Now, list down the factors of 2204

1,2,4,19,29,38,58,76,116,551,1102,2204

Now, list down the factors of 1066

1,2,13,26,41,82,533,1066

Greatest Common Factor

We found the factors 2204,1066 . The biggest common factor number is the GCF number.
So the greatest common factor 2204,1066 is 2.

Lets's calculate LCM of 360,149

Lowest Common Multiple of 360,149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 53640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53640

Therefore, the GCF of Fractions 2204/360,1066/149 is 2/53640

Least Common Multiple of 360,149 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 360,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,149) = 1

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

GCF(360,149) x common factors =1 x 1 = 1

LCM(360,149) = ( 360 × 149 ) / 1

LCM(360,149) = 53640 / 1

LCM(360,149) = 53640

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FAQs on GCF of Fractions of 2204/360, 1066/149

1. What is the HCF of 2204,1066?

The HCF of 2204,1066 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 2204/360, 1066/149?

Answer: GCF of Numerators as per given numbers 2204/360, 1066/149 is

GCF of Numerators i.e. for 2204,1066 is 2

LCM of denominators i.e. for 360,149 is 53640.

Thus, GCF of Fractions is 2/53640.Finally, GCF of Fractions for 2204/360, 1066/149 is 2/53640.