How to Find GCF of 3370/227, 5166/1465?

GCF of 3370/227, 5166/1465

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 3370/227, 5166/1465 i.e 2/332555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3370/227, 5166/1465.

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 3370/227,5166/1465?

Given fractions are 3370/227,5166/1465

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 3370/227,5166/1465, numerators are 3370,5166

Denominators are 227,1465

The GCF of 3370,5166 is 2 .

LCM of 227,1465 is 332555.

The greatest common factor of 3370/227,5166/1465 = [GCF of 3370,5166]/[LCM of 227,1465]= 2/332555

Therefore, the GCF of 3370/227,5166/1465 is 2/332555.

Greatest Common Factor of 3370,5166

To find the highest common factor of 3370,5166, we have to find the factors of both numbers and list the highest common factor.

The factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370

The factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166

The HCF of 3370,5166 is 2.

Lets's calculate GCF of 3370,5166

Greatest Common Factor (GCF) of 3370,5166 By Common Division

2	3370, 5166
	1685, 2583

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

Greatest Common Factor of 3370,5166 By Matching Biggest Common Factor Method

Now, list down the factors of 3370

1,2,5,10,337,674,1685,3370

Now, list down the factors of 5166

1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166

Greatest Common Factor

We found the factors 3370,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 3370,5166 is 2.

Lets's calculate LCM of 227,1465

Lowest Common Multiple of 227,1465 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 332555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/332555

Therefore, the GCF of Fractions 3370/227,5166/1465 is 2/332555

Least Common Multiple of 227,1465 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 227,1465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,1465) = 1

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

GCF(227,1465) x common factors =1 x 1 = 1

LCM(227,1465) = ( 227 × 1465 ) / 1

LCM(227,1465) = 332555 / 1

LCM(227,1465) = 332555

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3370/227, 5166/1465

1. What is the HCF of 3370,5166?

The HCF of 3370,5166 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 3370/227, 5166/1465?

Answer: GCF of Numerators as per given numbers 3370/227, 5166/1465 is

GCF of Numerators i.e. for 3370,5166 is 2

LCM of denominators i.e. for 227,1465 is 332555.

Thus, GCF of Fractions is 2/332555.Finally, GCF of Fractions for 3370/227, 5166/1465 is 2/332555.