How to Find GCF of 4477/754, 7193/6404?

GCF of 4477/754, 7193/6404

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 4477/754, 7193/6404 i.e 1/2414308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4477/754, 7193/6404.

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 4477/754,7193/6404?

Given fractions are 4477/754,7193/6404

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 4477/754,7193/6404, numerators are 4477,7193

Denominators are 754,6404

The GCF of 4477,7193 is 1 .

LCM of 754,6404 is 2414308.

The greatest common factor of 4477/754,7193/6404 = [GCF of 4477,7193]/[LCM of 754,6404]= 1/2414308

Therefore, the GCF of 4477/754,7193/6404 is 1/2414308.

Greatest Common Factor of 4477,7193

To find the highest common factor of 4477,7193, we have to find the factors of both numbers and list the highest common factor.

The factors of 4477 are 1, 11, 37, 121, 407, 4477

The factors of 7193 are 1, 7193

The HCF of 4477,7193 is 1.

Lets's calculate GCF of 4477,7193

Greatest Common Factor (GCF) of 4477,7193 By Common Division

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

Greatest Common Factor of 4477,7193 By Matching Biggest Common Factor Method

Now, list down the factors of 4477

1,11,37,121,407,4477

Now, list down the factors of 7193

1,7193

Greatest Common Factor

We found the factors 4477,7193 . The biggest common factor number is the GCF number.
So the greatest common factor 4477,7193 is 1.

Lets's calculate LCM of 754,6404

Lowest Common Multiple of 754,6404 using Common Division

2	754, 6404
	377, 3202

∴ So the LCM of the given numbers is 2 x 377 x 3202 = 2414308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2414308

Therefore, the GCF of Fractions 4477/754,7193/6404 is 1/2414308

Least Common Multiple of 754,6404 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 754,6404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,6404) = 2

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

GCF(754,6404) x common factors =2 x 1 = 2

LCM(754,6404) = ( 754 × 6404 ) / 2

LCM(754,6404) = 4828616 / 2

LCM(754,6404) = 2414308

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FAQs on GCF of Fractions of 4477/754, 7193/6404

1. What is the HCF of 4477,7193?

The HCF of 4477,7193 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 4477/754, 7193/6404?

Answer: GCF of Numerators as per given numbers 4477/754, 7193/6404 is

GCF of Numerators i.e. for 4477,7193 is 1

LCM of denominators i.e. for 754,6404 is 2414308.

Thus, GCF of Fractions is 1/2414308.Finally, GCF of Fractions for 4477/754, 7193/6404 is 1/2414308.