How to Find GCF of 3494/788, 7481/4598?

GCF of 3494/788, 7481/4598

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 3494/788, 7481/4598 i.e 1/1811612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3494/788, 7481/4598.

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 3494/788,7481/4598?

Given fractions are 3494/788,7481/4598

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 3494/788,7481/4598, numerators are 3494,7481

Denominators are 788,4598

The GCF of 3494,7481 is 1 .

LCM of 788,4598 is 1811612.

The greatest common factor of 3494/788,7481/4598 = [GCF of 3494,7481]/[LCM of 788,4598]= 1/1811612

Therefore, the GCF of 3494/788,7481/4598 is 1/1811612.

Greatest Common Factor of 3494,7481

To find the highest common factor of 3494,7481, we have to find the factors of both numbers and list the highest common factor.

The factors of 3494 are 1, 2, 1747, 3494

The factors of 7481 are 1, 7481

The HCF of 3494,7481 is 1.

Lets's calculate GCF of 3494,7481

Greatest Common Factor (GCF) of 3494,7481 By Common Division

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

Greatest Common Factor of 3494,7481 By Matching Biggest Common Factor Method

Now, list down the factors of 3494

1,2,1747,3494

Now, list down the factors of 7481

1,7481

Greatest Common Factor

We found the factors 3494,7481 . The biggest common factor number is the GCF number.
So the greatest common factor 3494,7481 is 1.

Lets's calculate LCM of 788,4598

Lowest Common Multiple of 788,4598 using Common Division

2	788, 4598
	394, 2299

∴ So the LCM of the given numbers is 2 x 394 x 2299 = 1811612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1811612

Therefore, the GCF of Fractions 3494/788,7481/4598 is 1/1811612

Least Common Multiple of 788,4598 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 788,4598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,4598) = 2

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

GCF(788,4598) x common factors =2 x 1 = 2

LCM(788,4598) = ( 788 × 4598 ) / 2

LCM(788,4598) = 3623224 / 2

LCM(788,4598) = 1811612

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FAQs on GCF of Fractions of 3494/788, 7481/4598

1. What is the HCF of 3494,7481?

The HCF of 3494,7481 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 3494/788, 7481/4598?

Answer: GCF of Numerators as per given numbers 3494/788, 7481/4598 is

GCF of Numerators i.e. for 3494,7481 is 1

LCM of denominators i.e. for 788,4598 is 1811612.

Thus, GCF of Fractions is 1/1811612.Finally, GCF of Fractions for 3494/788, 7481/4598 is 1/1811612.