How to Find GCF of 3373/410, 5665/1183?

GCF of 3373/410, 5665/1183

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 3373/410, 5665/1183 i.e 1/485030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3373/410, 5665/1183.

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 3373/410,5665/1183?

Given fractions are 3373/410,5665/1183

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 3373/410,5665/1183, numerators are 3373,5665

Denominators are 410,1183

The GCF of 3373,5665 is 1 .

LCM of 410,1183 is 485030.

The greatest common factor of 3373/410,5665/1183 = [GCF of 3373,5665]/[LCM of 410,1183]= 1/485030

Therefore, the GCF of 3373/410,5665/1183 is 1/485030.

Greatest Common Factor of 3373,5665

To find the highest common factor of 3373,5665, we have to find the factors of both numbers and list the highest common factor.

The factors of 3373 are 1, 3373

The factors of 5665 are 1, 5, 11, 55, 103, 515, 1133, 5665

The HCF of 3373,5665 is 1.

Lets's calculate GCF of 3373,5665

Greatest Common Factor (GCF) of 3373,5665 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3373,5665 By Matching Biggest Common Factor Method

Now, list down the factors of 3373

1,3373

Now, list down the factors of 5665

1,5,11,55,103,515,1133,5665

Greatest Common Factor

We found the factors 3373,5665 . The biggest common factor number is the GCF number.
So the greatest common factor 3373,5665 is 1.

Lets's calculate LCM of 410,1183

Lowest Common Multiple of 410,1183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 485030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485030

Therefore, the GCF of Fractions 3373/410,5665/1183 is 1/485030

Least Common Multiple of 410,1183 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 410,1183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,1183) = 1

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

GCF(410,1183) x common factors =1 x 1 = 1

LCM(410,1183) = ( 410 × 1183 ) / 1

LCM(410,1183) = 485030 / 1

LCM(410,1183) = 485030

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FAQs on GCF of Fractions of 3373/410, 5665/1183

1. What is the HCF of 3373,5665?

The HCF of 3373,5665 is 1

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 3373/410, 5665/1183?

Answer: GCF of Numerators as per given numbers 3373/410, 5665/1183 is

GCF of Numerators i.e. for 3373,5665 is 1

LCM of denominators i.e. for 410,1183 is 485030.

Thus, GCF of Fractions is 1/485030.Finally, GCF of Fractions for 3373/410, 5665/1183 is 1/485030.