How to Find GCF of 2159/683, 3502/227?

GCF of 2159/683, 3502/227

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 2159/683, 3502/227 i.e 17/155041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2159/683, 3502/227.

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 2159/683,3502/227?

Given fractions are 2159/683,3502/227

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 2159/683,3502/227, numerators are 2159,3502

Denominators are 683,227

The GCF of 2159,3502 is 17 .

LCM of 683,227 is 155041.

The greatest common factor of 2159/683,3502/227 = [GCF of 2159,3502]/[LCM of 683,227]= 17/155041

Therefore, the GCF of 2159/683,3502/227 is 17/155041.

Greatest Common Factor of 2159,3502

To find the highest common factor of 2159,3502, we have to find the factors of both numbers and list the highest common factor.

The factors of 2159 are 1, 17, 127, 2159

The factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502

The HCF of 2159,3502 is 17.

Lets's calculate GCF of 2159,3502

Greatest Common Factor (GCF) of 2159,3502 By Common Division

17	2159, 3502
	127, 206

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 2159,3502 By Matching Biggest Common Factor Method

Now, list down the factors of 2159

1,17,127,2159

Now, list down the factors of 3502

1,2,17,34,103,206,1751,3502

Greatest Common Factor

We found the factors 2159,3502 . The biggest common factor number is the GCF number.
So the greatest common factor 2159,3502 is 17.

Lets's calculate LCM of 683,227

Lowest Common Multiple of 683,227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 155041

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/155041

Therefore, the GCF of Fractions 2159/683,3502/227 is 17/155041

Least Common Multiple of 683,227 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 683,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,227) = 1

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

GCF(683,227) x common factors =1 x 1 = 1

LCM(683,227) = ( 683 × 227 ) / 1

LCM(683,227) = 155041 / 1

LCM(683,227) = 155041

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FAQs on GCF of Fractions of 2159/683, 3502/227

1. What is the HCF of 2159,3502?

The HCF of 2159,3502 is 17

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 2159/683, 3502/227?

Answer: GCF of Numerators as per given numbers 2159/683, 3502/227 is

GCF of Numerators i.e. for 2159,3502 is 17

LCM of denominators i.e. for 683,227 is 155041.

Thus, GCF of Fractions is 17/155041.Finally, GCF of Fractions for 2159/683, 3502/227 is 17/155041.