How to Find GCF of 2206/497, 4093/3743?

GCF of 2206/497, 4093/3743

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 2206/497, 4093/3743 i.e 1/1860271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2206/497, 4093/3743.

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 2206/497,4093/3743?

Given fractions are 2206/497,4093/3743

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 2206/497,4093/3743, numerators are 2206,4093

Denominators are 497,3743

The GCF of 2206,4093 is 1 .

LCM of 497,3743 is 1860271.

The greatest common factor of 2206/497,4093/3743 = [GCF of 2206,4093]/[LCM of 497,3743]= 1/1860271

Therefore, the GCF of 2206/497,4093/3743 is 1/1860271.

Greatest Common Factor of 2206,4093

To find the highest common factor of 2206,4093, we have to find the factors of both numbers and list the highest common factor.

The factors of 2206 are 1, 2, 1103, 2206

The factors of 4093 are 1, 4093

The HCF of 2206,4093 is 1.

Lets's calculate GCF of 2206,4093

Greatest Common Factor (GCF) of 2206,4093 By Common Division

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

Greatest Common Factor of 2206,4093 By Matching Biggest Common Factor Method

Now, list down the factors of 2206

1,2,1103,2206

Now, list down the factors of 4093

1,4093

Greatest Common Factor

We found the factors 2206,4093 . The biggest common factor number is the GCF number.
So the greatest common factor 2206,4093 is 1.

Lets's calculate LCM of 497,3743

Lowest Common Multiple of 497,3743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1860271

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1860271

Therefore, the GCF of Fractions 2206/497,4093/3743 is 1/1860271

Least Common Multiple of 497,3743 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 497,3743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,3743) = 1

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

GCF(497,3743) x common factors =1 x 1 = 1

LCM(497,3743) = ( 497 × 3743 ) / 1

LCM(497,3743) = 1860271 / 1

LCM(497,3743) = 1860271

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FAQs on GCF of Fractions of 2206/497, 4093/3743

1. What is the HCF of 2206,4093?

The HCF of 2206,4093 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 2206/497, 4093/3743?

Answer: GCF of Numerators as per given numbers 2206/497, 4093/3743 is

GCF of Numerators i.e. for 2206,4093 is 1

LCM of denominators i.e. for 497,3743 is 1860271.

Thus, GCF of Fractions is 1/1860271.Finally, GCF of Fractions for 2206/497, 4093/3743 is 1/1860271.