How to Find GCF of 2253/431, 6221/6489?

GCF of 2253/431, 6221/6489

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 2253/431, 6221/6489 i.e 1/2796759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2253/431, 6221/6489.

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 2253/431,6221/6489?

Given fractions are 2253/431,6221/6489

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 2253/431,6221/6489, numerators are 2253,6221

Denominators are 431,6489

The GCF of 2253,6221 is 1 .

LCM of 431,6489 is 2796759.

The greatest common factor of 2253/431,6221/6489 = [GCF of 2253,6221]/[LCM of 431,6489]= 1/2796759

Therefore, the GCF of 2253/431,6221/6489 is 1/2796759.

Greatest Common Factor of 2253,6221

To find the highest common factor of 2253,6221, we have to find the factors of both numbers and list the highest common factor.

The factors of 2253 are 1, 3, 751, 2253

The factors of 6221 are 1, 6221

The HCF of 2253,6221 is 1.

Lets's calculate GCF of 2253,6221

Greatest Common Factor (GCF) of 2253,6221 By Common Division

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

Greatest Common Factor of 2253,6221 By Matching Biggest Common Factor Method

Now, list down the factors of 2253

1,3,751,2253

Now, list down the factors of 6221

1,6221

Greatest Common Factor

We found the factors 2253,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 2253,6221 is 1.

Lets's calculate LCM of 431,6489

Lowest Common Multiple of 431,6489 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2796759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2796759

Therefore, the GCF of Fractions 2253/431,6221/6489 is 1/2796759

Least Common Multiple of 431,6489 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 431,6489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,6489) = 1

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

GCF(431,6489) x common factors =1 x 1 = 1

LCM(431,6489) = ( 431 × 6489 ) / 1

LCM(431,6489) = 2796759 / 1

LCM(431,6489) = 2796759

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FAQs on GCF of Fractions of 2253/431, 6221/6489

1. What is the HCF of 2253,6221?

The HCF of 2253,6221 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 2253/431, 6221/6489?

Answer: GCF of Numerators as per given numbers 2253/431, 6221/6489 is

GCF of Numerators i.e. for 2253,6221 is 1

LCM of denominators i.e. for 431,6489 is 2796759.

Thus, GCF of Fractions is 1/2796759.Finally, GCF of Fractions for 2253/431, 6221/6489 is 1/2796759.