How to Find GCF of 4754/790, 9338/6359?

GCF of 4754/790, 9338/6359

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 4754/790, 9338/6359 i.e 2/5023610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4754/790, 9338/6359.

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 4754/790,9338/6359?

Given fractions are 4754/790,9338/6359

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 4754/790,9338/6359, numerators are 4754,9338

Denominators are 790,6359

The GCF of 4754,9338 is 2 .

LCM of 790,6359 is 5023610.

The greatest common factor of 4754/790,9338/6359 = [GCF of 4754,9338]/[LCM of 790,6359]= 2/5023610

Therefore, the GCF of 4754/790,9338/6359 is 2/5023610.

Greatest Common Factor of 4754,9338

To find the highest common factor of 4754,9338, we have to find the factors of both numbers and list the highest common factor.

The factors of 4754 are 1, 2, 2377, 4754

The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338

The HCF of 4754,9338 is 2.

Lets's calculate GCF of 4754,9338

Greatest Common Factor (GCF) of 4754,9338 By Common Division

2	4754, 9338
	2377, 4669

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4754,9338 By Matching Biggest Common Factor Method

Now, list down the factors of 4754

1,2,2377,4754

Now, list down the factors of 9338

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Greatest Common Factor

We found the factors 4754,9338 . The biggest common factor number is the GCF number.
So the greatest common factor 4754,9338 is 2.

Lets's calculate LCM of 790,6359

Lowest Common Multiple of 790,6359 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5023610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5023610

Therefore, the GCF of Fractions 4754/790,9338/6359 is 2/5023610

Least Common Multiple of 790,6359 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 790,6359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,6359) = 1

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

GCF(790,6359) x common factors =1 x 1 = 1

LCM(790,6359) = ( 790 × 6359 ) / 1

LCM(790,6359) = 5023610 / 1

LCM(790,6359) = 5023610

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FAQs on GCF of Fractions of 4754/790, 9338/6359

1. What is the HCF of 4754,9338?

The HCF of 4754,9338 is 2

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 4754/790, 9338/6359?

Answer: GCF of Numerators as per given numbers 4754/790, 9338/6359 is

GCF of Numerators i.e. for 4754,9338 is 2

LCM of denominators i.e. for 790,6359 is 5023610.

Thus, GCF of Fractions is 2/5023610.Finally, GCF of Fractions for 4754/790, 9338/6359 is 2/5023610.