How to Find GCF of 9031/619, 6221/4711?

GCF of 9031/619, 6221/4711

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 9031/619, 6221/4711 i.e 1/2916109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9031/619, 6221/4711.

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 9031/619,6221/4711?

Given fractions are 9031/619,6221/4711

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 9031/619,6221/4711, numerators are 9031,6221

Denominators are 619,4711

The GCF of 9031,6221 is 1 .

LCM of 619,4711 is 2916109.

The greatest common factor of 9031/619,6221/4711 = [GCF of 9031,6221]/[LCM of 619,4711]= 1/2916109

Therefore, the GCF of 9031/619,6221/4711 is 1/2916109.

Greatest Common Factor of 9031,6221

To find the highest common factor of 9031,6221, we have to find the factors of both numbers and list the highest common factor.

The factors of 9031 are 1, 11, 821, 9031

The factors of 6221 are 1, 6221

The HCF of 9031,6221 is 1.

Lets's calculate GCF of 9031,6221

Greatest Common Factor (GCF) of 9031,6221 By Common Division

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

Greatest Common Factor of 9031,6221 By Matching Biggest Common Factor Method

Now, list down the factors of 9031

1,11,821,9031

Now, list down the factors of 6221

1,6221

Greatest Common Factor

We found the factors 9031,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 9031,6221 is 1.

Lets's calculate LCM of 619,4711

Lowest Common Multiple of 619,4711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2916109

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2916109

Therefore, the GCF of Fractions 9031/619,6221/4711 is 1/2916109

Least Common Multiple of 619,4711 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 619,4711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,4711) = 1

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

GCF(619,4711) x common factors =1 x 1 = 1

LCM(619,4711) = ( 619 × 4711 ) / 1

LCM(619,4711) = 2916109 / 1

LCM(619,4711) = 2916109

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FAQs on GCF of Fractions of 9031/619, 6221/4711

1. What is the HCF of 9031,6221?

The HCF of 9031,6221 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 9031/619, 6221/4711?

Answer: GCF of Numerators as per given numbers 9031/619, 6221/4711 is

GCF of Numerators i.e. for 9031,6221 is 1

LCM of denominators i.e. for 619,4711 is 2916109.

Thus, GCF of Fractions is 1/2916109.Finally, GCF of Fractions for 9031/619, 6221/4711 is 1/2916109.